Israel Gohberg
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(Suggest an Edit or Addition)According to Wikipedia, Israel Gohberg was a Bessarabian-born Soviet and Israeli mathematician, most known for his work in operator theory and functional analysis, in particular linear operators and integral equations. Biography Gohberg was born in Tarutyne to parents Tsudik and Haya Gohberg. His father owned a small typography shop and his mother was a midwife. The young Gohberg studied in a Hebrew school in Taurtyne and then a Romanian school in Orhei, where he was influenced by the tutelage of Modest Shumbarsky, a student of the renowned topologist Karol Borsuk.
Israel Gohberg's Published Works
Published Works
- Introduction to the theory of linear nonselfadjoint operators (1969) (3326)
- Classes of Linear Operators (1990) (949)
- Convolution Equations and Projection Methods for Their Solution (1974) (692)
- Interpolation of Rational Matrix Functions (1990) (644)
- Unbounded Linear Operators (1966) (495)
- Minimal Factorization of Matrix and Operator Functions (1980) (493)
- Factorization of Matrix Functions and Singular Integral Operators (1980) (451)
- Factorization of selfadjoint matrix polynomials with constant signature (1982) (406)
- Traces and determinants of linear operators (1996) (369)
- Classes of Linear Operators Vol. I (1990) (365)
- One-Dimensional Linear Singular Integral Equations (1992) (364)
- AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ (1971) (330)
- Theory and Applications of Volterra Operators in Hilbert Space (2004) (325)
- Matrices and indefinite scalar products (1983) (320)
- Indefinite Linear Algebra and Applications (2005) (299)
- Fast Gaussian elimination with partial pivoting for matrices with displacement structure (1995) (250)
- Basic Operator Theory (1981) (233)
- Basic Classes of Linear Operators (2004) (215)
- Extensions of band matrices with band inverses (1981) (195)
- On a new class of structured matrices (1999) (187)
- Systems of integral equations on a half-line with kernels depending on the difference of arguments (1960) (165)
- Metric Constrained Interpolation, Commutant Lifting and Systems (1998) (151)
- Complexity of multiplication with vectors for structured matrices (1994) (144)
- Mixed componentwise and structured condition numbers (1993) (127)
- The band method for positive and strictly contractive extension problems: An alternative version and new applications (1989) (121)
- Spectral analysis of selfadjoint matrix polynomials (1980) (111)
- Time varying linear systems with boundary conditions and integral operators. I. The transfer operator and its properties (1984) (110)
- Unitary Rational Matrix Functions (1988) (105)
- An Overview of Matrix Factorization Theory and Operator Applications (2003) (93)
- Fast Algorithms with Preprocessing for Matrix-Vector Multiplication Problems (1994) (93)
- Circulants, displacements and decompositions of matrices (1992) (89)
- A modification of the Dewilde-van der Veen method for inversion of finite structured matrices (2002) (86)
- Factorizations of Transfer Functions (1980) (85)
- Spectral analysis of matrix polynomials— I. canonical forms and divisors (1978) (83)
- Efficient solution of linear systems of equations with recursive structure (1986) (83)
- On hermitian solutions of the symmetric algebraic Riccati equation (1986) (83)
- Minimality and realization of discrete time-varying systems (1992) (81)
- Factorization of Matrix and Operator Functions: The State Space Method (2007) (79)
- Dichotomy of systems and invertibility of linear ordinary differential operators (1992) (79)
- General theory of regular matrix polynomials and band Toeplitz operators (1988) (76)
- Equivalence, linearization, and decomposition of holomorphic operator functions (1978) (73)
- Holomorphic Operator Functions of One Variable and Applications: Methods from Complex Analysis in Several Variables (2009) (71)
- Separable Type Representations of Matrices and Fast Algorithms (2013) (69)
- Wiener-Hopf factorization, inverse Fourier transforms and exponentially dichotomous operators (1986) (69)
- I. Schur methods inoperator theory and signal processing (1986) (69)
- Linear complexity parallel algorithms for linear systems of equations with recursive structure (1987) (66)
- Nevanlinna-Pick interpolation for time-varying input-output maps: the discrete case (1992) (65)
- Singular Integral Operators with Piecewise Continuous Coefficients and Their Symbols (1971) (64)
- The Fast Generalized Parker-Traub Algorithm for Inversion of Vandermonde and Related Matrices (1997) (63)
- Pseudo-Canonical Systems with Rational Weyl Functions: Explicit Formulas and Applications (1998) (63)
- The QR iteration method for Hermitian quasiseparable matrices of an arbitrary order (2005) (62)
- Topics in differential and integral equations and operator theory (1983) (61)
- Linear complexity algorithms for semiseparable matrices (1985) (61)
- Invertibility and dichotomy of differential operators on a half-line (1993) (61)
- A maximum entropy principle for contractive interpolants (1986) (61)
- Partially Specified Matrices and Operators: Classification, Completion, Applications (1995) (58)
- Inverse Spectral Problem for Differential Operators with Rational Scattering Matrix Functions (1995) (58)
- Fast QR Eigenvalue Algorithms for Hessenberg Matrices Which Are Rank-One Perturbations of Unitary Matrices (2007) (57)
- Linear Operator Pencils (1990) (57)
- Canonical Systems with Rational Spectral Densities: Explicit Formulas and Applications (1998) (56)
- The Coupling Method for Solving Integral Equations (1984) (55)
- Inversion formulas and linear complexity algorithm for diagonal plus semiseparable matrices (1997) (54)
- Fast inversion of Chebyshev--Vandermonde matrices (1994) (54)
- Fast state space algorithms for matrix Nehari and Nehari-Takagi interpolation problems (1994) (53)
- Analytic matrix functions with prescribed local data (1981) (51)
- Constructive Methods of Wiener-Hopf Factorization (1986) (50)
- On minimality in the partial realization problem (1987) (50)
- Scattering problems for a canonical system with a pseudo-exponential potential (2002) (48)
- Minimal Divisors of Rational Matrix Functions with Prescribed Zero and Pole Structure (1984) (47)
- Matrix Generalizations of M. G. Krein Theorems on Orthogonal Polynomials (1988) (46)
- Realization and Interpolation of Rational Matrix Functions (1988) (46)
- Spectral analysis of matrix polynomials— II. The resolvent form and spectral divisors (1978) (42)
- A Fast Implicit QR Eigenvalue Algorithm for Companion Matrices (2010) (41)
- Review: A. S. Markus, Introduction to the spectral theory of polynomial operator pencils (1989) (41)
- Factorization of transfer functions (1980) (41)
- A State Space Approach to Canonical Factorization with Applications (2010) (41)
- Computations with quasiseparable polynomials and matrices (2008) (40)
- On an extension problem, generalized fourier analysis, and an entropy formula (1980) (40)
- Common multiples and common divisors of matrix polynomials, II. Vandermonde and resultant matrices (1982) (39)
- A maximum entropy principle in the general framework of the band method (1991) (39)
- Eigenvalues of completions of submatrices (1989) (39)
- The State Space Method Generalizations and Applications (2005) (39)
- Extensions of matrix valued functions with rational polynomial inverses (1979) (38)
- Convolution equations and linear systems (1982) (38)
- An inverse spectral problem for rational matrix functions and minimal divisibility (1987) (38)
- Block Toeplitz Operators with Rational Symbols (1988) (38)
- Factorization indices for matrix polynomials (1978) (36)
- A frequency response function for linear, time-varying systems (1995) (35)
- Dichotomy, discrete Bohl exponents, and spectrum of block weighted shifts (1991) (35)
- Banach Algebras Generated by N Idempotents and Applications (1996) (35)
- Linear complexity inversion algorithms for a class of structured matrices (1999) (34)
- Factorizations of and extensions to J-unitary rational matrix functions on the unit circle (1992) (34)
- Orthogonal systems and convolution operators (2003) (34)
- Extension theorems for Fredholm and invertibility symbols (1993) (34)
- Classes of Linear Operators, Vol.I, Operator Theory (1990) (34)
- On classification of normal matrices in an indefinite scalar product (1990) (34)
- Proper Contractions and their Unitary Minimal Completions (1988) (34)
- Unitary interpolants, factorization indices and infinite Hankel block matrices (1983) (33)
- On the local theory of regular analytic matrix functions (1993) (33)
- Fast preconditioned conjugate gradient algorithms for Wiener-Hopf integral equations (1994) (32)
- Efficient algorithm for Toeplitz plus Hankel matrices (1989) (32)
- Convolution equations on finite intervals and factorization of matrix functions (2000) (32)
- On spectral analysis of non-monic matrix and operator polynomials, I. Reduction to monic polynomials (1978) (32)
- Minimal Factorizations of Rational Matrix Functions (1979) (32)
- Wiener-Hopf Integral Equations, Toeplitz Matrices and Linear Systems (1982) (31)
- Extension and Interpolation of Linear Operators and Matrix Functions (1990) (31)
- Invariant Subspaces of Matrices with Applications (Classics in Applied Mathematics, 51) (2006) (30)
- Extensions of kernels of Fredholm operators (1982) (30)
- A commutant lifting theorem for triangular matrices with diverse applications (1985) (30)
- Eigenstructure of order-one-quasiseparable matrices. Three-term and two-term recurrence relations (2005) (30)
- Minimal factorization of meromorphic matrix functions in terms of local data (1987) (30)
- Regular Rational Matrix Functions with Prescribed Pole and Zero Structure (1988) (30)
- Resultants of matrix polynomials (1976) (30)
- Inverse spectral problems for difference operators with rational scattering matrix function (1994) (29)
- A New Class of Contractive Interpolants and Maximum Entropy Principles (1988) (28)
- On the distance between lattices of invariant subspaces of matrices (1986) (28)
- Unbounded Operators on Hilbert Space (2003) (28)
- Direct and Inverse Scattering Problem for Canonical Systems with a Strictly Pseudo – Exponential Potential (2000) (28)
- Banach algebras of singular integral operators with piecewise continuous coefficients. General contour and weight (1993) (28)
- On generators of quasiseparable finite block matrices (2005) (28)
- Topics in Interpolation Theory of Rational Matrix-valued Functions (2000) (27)
- 11. Factorization of Self-Adjoint Matrix Polynomials (2009) (27)
- Unsolved problems in matrix and operator theory, II. partial multiplicities for products (1979) (26)
- Krein Systems and Canonical Systems on a Finite Interval: Accelerants with a Jump Discontinuity at the Origin and Continuous Potentials (2009) (26)
- Sturm-Liouville systems with rational Weyl functions: Explicit formulas and applications (1998) (26)
- New results in operator theory and its applications: the Israel M. Glazman memorial volume (1997) (26)
- Inertia theorems for nonstationary discrete systems and dichotomy (1989) (26)
- Explicit Wiener-Hopf Factorization and Realization (1986) (25)
- Extension theorems for Invertibility Symbols in Banach algebras (1992) (25)
- Schur complements and state space realizations (2005) (24)
- Inverse problems associated to a canonical differential system (2001) (24)
- Stable factorizations of monic matrix polynomials and stable invariant subspaces (1978) (24)
- Topics in Operator Theory: Ernst d Hellinger Memorial Volume (1990) (24)
- Szegö-Kac-Achiezer formulas in terms of realizations of the symbol (1987) (24)
- Spectral analysis of families of operator polynomials and a generalized Vandermonde matrix II: The infinite dimensional case (1978) (23)
- On the fast reduction of a quasiseparable matrix to Hessenberg and tridiagonal forms (2007) (22)
- Shift invariant subspaces, factorization, and interpolation for matrices. I. the canonical case (1986) (22)
- Interpolation, Schur Functions and Moment Problems (2005) (22)
- Recent Developments in Operator Theory and Its Applications : International Conference in Winnipeg, October 2-6, 1994 (1996) (22)
- A Björck–Pereyra-type algorithm for Szegö–Vandermonde matrices based on properties of unitary Hessenberg matrices (2007) (22)
- Perturbations ofH-selfadjoint matrices, with applications to differential equations (1982) (22)
- Efficient eigenvalue computation for quasiseparable Hermitian matrices under low rank perturbations (2008) (22)
- Maximum Entropy and Bayesian Methods in Applied Statistics: Band Extensions, Maximum Entropy and the Permanence Principle (1986) (21)
- A New Book in Linear Algebra: Indefinite Linear Algebra and Applications (2005) (21)
- Stable factorization of operator polynomials, I. Spectral divisors simply behaved at infinity (1980) (21)
- Topics in Operator Theory Systems and Networks (1984) (21)
- Quadratic matrix polynomials with a parameter (1986) (21)
- Two-sided Nudelman interpolation for input-output operators of discrete time-varying systems (1995) (21)
- Wiener-Hopf Equations with Symbols Analytic in A Strip (1986) (21)
- Infinite analogues of block toeplitz matrices and related orthogonal functions (1995) (21)
- Perturbation of analytic hermitian matrix functions (1985) (20)
- Hilbert-Carleman and regularized determinants for linear operators (1997) (20)
- BAND MATRICES AND DICHOTOMY (1991) (20)
- A method of explicit factorization of matrix functions and applications (1994) (19)
- Problems and Methods in Mathematical Physics (2001) (19)
- Minimal representations of semiseparable kernels and systems with separable boundary conditions (1987) (19)
- A Fast Björck-Pereyra-Type Algorithm for Solving Hessenberg-Quasiseparable-Vandermonde Systems (2009) (19)
- On Bezoutians of nonsquare matrix polynomials and inversion of matrices with nonsquare blocks (1990) (19)
- Inverse problem for Sturm-Liouville operators with rational reflection coefficient (1998) (18)
- On h-unitary and block-toeplitz h-normal operators (1991) (18)
- On spectral analysis of non-monic matrix and operator polynomials, II. Dependence on the finite spectral data (1978) (18)
- Nevanlinna-Pick interpolation for time-varying input-output maps: the continuous time case (1992) (18)
- Operator theoretical methods and applications to mathematical physics : the Erhard Meister memorial volume (2012) (18)
- Simultaneous residue interpolation problems for rational matrix functions (1990) (18)
- A classification of upper equivalent matrices the generic case (1991) (18)
- An Explicit Factorization Algorithm (2004) (18)
- Recent advances in operator theory and related topics : the Béla Szökefalvi-Nagy memorial volume (2001) (18)
- On minimality and stable minimality of time-varying linear systems with well-posed boundary conditions (1986) (17)
- Implicit QR with Compression (2012) (17)
- Continuous and discrete Fourier transforms, extension problems and Wiener-Hopf equations (1992) (17)
- On two theorems of M. G. Krein concerning polynomials orthogonal on the unit circle (1988) (17)
- Orthogonal Matrix-valued Polynomials and Applications (1988) (17)
- Triangular factors of Cauchy and Vandermonde matrices (1996) (17)
- Orthogonal systems related to infinite Hankel matrices (1992) (17)
- Invertible selfadjoint extensions of band matrics and their entropy (1987) (17)
- Minimality and irreducibility of time-invariant linear boundary-value systems (1986) (17)
- The two-sided residue interpolation in the stieltjes class for matrix functions (1994) (16)
- Central intertwining lifting, maximum entropy and their permanence (1994) (16)
- Modern Analysis and Applications (2009) (16)
- A look-ahead block schur algorithm for diagonal plus semiseparable matrices☆ (1998) (16)
- Orthogonal Matrix Polynomials (1988) (16)
- Realization and Factorization for Rational Matrix Functions with Symmetries (1990) (15)
- On explicit factorization and applications (1995) (15)
- Fast inversion algorithms for a class of structured operator matrices (2003) (15)
- Rational contractive and unitary interpolants in realized form (1988) (15)
- Similarity of operator blocks and canonical forms. I. General results, feedback equivalence and kronecker indices (1980) (15)
- The Resultant Matrix and its Generalizations. I. The Resultant Operator for Matrix Polynomials (2010) (15)
- Perturbation Theory for Divisors of Operator Polynomials (1979) (15)
- Partial pole and zero displacement by cascade connection (1989) (15)
- Matrix and Operator Valued Functions: The Vladimir Petrovich Potapov Memorial Volume (1994) (15)
- Similarity and reduction for time varying linear systems with well posed boundary conditions (1986) (15)
- Finite dimensional Wiener-Hopf equations and factorizations of matrices (1982) (14)
- Basics, completion problems, multiplication and inversion algorithms (2014) (14)
- Rational matrix and operator functions with prescribed singularities (1982) (14)
- Discrete time-variant interpolation as classical interpolation with an operator argument (1996) (14)
- Interpolation and local data for meromorphic matrix and operator functions (1986) (14)
- Interpolation Problems for Rational Matrix Functions with Incomplete Data and Wiener-Hopf Factorization (1988) (14)
- Common minimal multiples and divisors for rational matrix functions (1990) (13)
- Classification of block-toeplitz h-normal operators (1993) (13)
- Unsolved problems in matrix and operator theory, I. Partial multiplicities and additive perturbations (1978) (13)
- A sign characteristic for selfadjoint meromorphic matrix functions (1983) (13)
- Timing analysis of a parallel algorithm for Toeplitz matrices on a MIMD parallel machine (1991) (13)
- Fredholm theory of Wiener-Hopf equations in terms of realization of their symbols (1985) (13)
- Resultant operators of a pair of analytic functions (1978) (13)
- Factorization indices and kronecker indices of matrix polynomials (1979) (13)
- The resultant for regular matrix polynomials and quasi commutativity (2008) (13)
- Wiener-Hopf factorization and realization (1984) (13)
- The Band Method and Grassmannian Approach for Completion and Extension Problems (1996) (13)
- Bitangential interpolation for input-output maps of time-varying systems: The continuous time case (1994) (13)
- On Inversion of Convolution Integral Operators on a Finite Interval (2004) (12)
- Canonical Systems on the Line with Rational Spectral Densities: Explicit Formulas (2000) (12)
- Exponentially dichotomous operators and inverse Fourier transforms (1985) (12)
- Topics in Operator Theory and Interpolation (1988) (12)
- Regular rational matrix functions with prescribed null and pole data except at infinity (1990) (12)
- Inverse Scattering Problem for Continuous Transmission Lines with Rational Reflection Coefficient Function (1996) (12)
- The maximum distance problem and band sequences (1987) (12)
- On inversion of square matrices partitioned into non-square blocks (1989) (12)
- Projection Method for Block Toeplitz Operators With Operator-Valued Symbols (1994) (12)
- Commutative Banach Algebras (1993) (12)
- State space theory of automorphisms of rational matrix functions (1992) (11)
- Orthogonal polynomials over Hilbert modules (1994) (11)
- Invariants for Wiener-Hopf Equivalence of Analytic Operator Functions (1986) (11)
- Potentials associated to rational weights (1997) (11)
- Operator Theory and Complex Analysis (1992) (11)
- Hankel integral operators and isometric interpolants on the line (1983) (11)
- Reconstruction of a rational nonsquare matrix function from local data (1994) (11)
- Matrix and Operator Valued Functions (1994) (11)
- Interpolation Theory, Systems Theory and Related Topics : The Harry Dym Anniversary Volume (2002) (11)
- Stability of Minimal Fractional Decompositions of Rational Matrix Functions (1986) (11)
- Classification of Linear Periodic Difference Equations under Periodic or Kinematic Similarity (1999) (10)
- Distribution of Zeros of Matrix-Valued Continuous Analogues of Orthogonal Polynomials (1992) (10)
- On the spectral structure of monic matrix polynomials and the extension problem (1979) (10)
- On negative eigenvalues of selfadjoint eztensions of band matrices (1988) (10)
- Asymptotic formulas of Szegö–Kac–Achiezer type (1992) (10)
- Singular Integral Operators and Related Topics (1996) (10)
- On pseudo-canonical factorization of rational matrix functions (1993) (10)
- On maximum entropy interpolants and maximum determinant completions of associated Pick matrices (1995) (10)
- Cascade decompositions of rational matrix functions and their stability (1987) (10)
- Spectral classification of operators and operator functions (1976) (10)
- Bitangential Interpolation for Input-Out Operators of Time-Varying Systems: The Discrete Time Case (1993) (10)
- Contributions to Operator Theory and Its Applications (1988) (10)
- Krein systems (2009) (10)
- A Traub-like algorithm for Hessenberg-quasiseparable-Vandermonde matrices of arbitrary order (2010) (10)
- Operator polynomials as inverses of characteristic functions (1978) (10)
- Two-sided tangential interpolation of real rational matrix functions (1994) (10)
- On the spectral structure of monic matrix polynomials and the extension problem (1979) (10)
- State Space Method for Inverse Spectral Problems (1997) (10)
- Nodes and Realization of Rational Matrix Functions: Minimality Theory and Applications (1988) (9)
- The Spectrum of Singular Integral Operators in L p Spaces (2010) (9)
- Bounds for eigenvalues and singular values of matrix completions (1992) (9)
- On canonical factorization of operator polynomials, spectral divisors and toeplitz matrices (1978) (9)
- Fast inversion algorithms for a class of block structured matrices (2001) (9)
- The unitary completion and QR iterations for a class of structured matrices (2008) (9)
- Operator Theory and Boundary Eigenvalue Problems (1995) (9)
- A Simple Proof of the Jordan Decomposition Theorem for Matrices (1996) (9)
- Toeplitz Matrices and Singular Integral Equations (2002) (9)
- Generalization of the determinants for trace-potent linear operators (2001) (9)
- Discrete Analogs of Canonical Systems with Pseudo-exponential Potential. Definitions and Formulas for the Spectral Matrix Functions (2005) (9)
- Factorization and Integrable Systems (2003) (9)
- Topics in Operator Theory (1988) (9)
- The Resultant Matrix and its Generalizations. II. The Continual Analogue of the Resultant Operator (2010) (9)
- Time variant extension problems of Nehari type and the band method (1991) (8)
- The Bezout Integral Operator: Main Property and Underlying Abstract Scheme (2005) (8)
- Connections between the Carathéodory-Toepliz and the Nehari extension problems: The discrete scalar case (2000) (8)
- Nonselfadjoint Operators and Related Topics (1994) (8)
- The Continuous Analogue of the Resultant and Related Convolution Operators (2006) (8)
- Operator Theory and Analysis (2001) (8)
- Modern Operator Theory and Applications (2007) (8)
- Stable factorization of operator polynomials. II. Main results and applications to Toeplitz operators (1980) (8)
- Extensions with positive real part. A new version of the abstract band method with applications (1993) (8)
- Topics in functional analysis : essays dedicated to M. G. Krein on the occasion of his 70th birthday (1978) (8)
- Extension of a Theorem of M. G. Krein on Orthogonal Polynomials for the Nonstationary Case (1988) (8)
- Pairs of selfadjoint operators and their invariants (2005) (8)
- Discrete Nonstationary Bounded Real Lemma in Indefinite Metrics, the Strict Contractive Case (1995) (8)
- Matrix Polynomials with prescribed zero structure in the finite complex plane (1991) (8)
- J-unitary preserving automorphisms of rational matrix functions: state space theory, interpolation, and factorization (1994) (8)
- A trace formula for canonical differential expressions (2003) (8)
- Similarity of Operator Blocks and Canonical Forms. II. Infinite Dimensional Case and Wiener-Hopf Factorization (1981) (7)
- INPUT-OUTPUT OPERATORS OF J-UNITARY TIME-VARYING CONTINUOUS TIME SYSTEMS (1995) (7)
- A relationship between the Nehari and the Carathéodory-Toeplitz extension problems (1996) (7)
- Bound states of a canonical system with a pseudo-exponential potential (2001) (7)
- Parameterization of all solutions of the three chains completion problem (1997) (7)
- Recent advances in operator theory and its applications : the Israel Gohberg anniversary volume : International Workshop on Operator Theory and its Applications, IWOTA 2003, Cagliari, Italy (2005) (7)
- A time-variant version of the commutant lifting theorem and nonstationary interpolation problems (1997) (7)
- Structured Condition Numbers for Linear Matrix Structures (1995) (7)
- Differential operators and related topics (2000) (7)
- The decomposition of figures into smaller parts (1980) (7)
- Sensitivity minimization and bitangential Nevanlinna-pick interpolation in contour integral form (1990) (7)
- Exponentially dominated infinite block matrices of finite Kronecker rank (1994) (7)
- A note on diagonal innovation matrices (1987) (7)
- On a class of block toeplitz matrices (1996) (7)
- On unitary interpolants and Fredholm infinite block Toeplitz matrices (1983) (7)
- Nudelman interpolation and the band method (1997) (7)
- Extensions of Matrix-valued Inner Products on Modules and the Inversion Formula for Block Toeplitz Matrices (2001) (7)
- One-dimensional Singular Integral Operators with Shift (2010) (7)
- Inertia theorems for block weighted shifts and applications (1992) (7)
- Fredholm Properties of Band Matrices and Dichotomy (1988) (7)
- A state space approach to canonical factorization: convolution equations and mathematical systems. (2010) (6)
- Wiener-Hopf factorization of placewise matrix polynomials (1983) (6)
- Semi-separable operators along chains of projections and systems (1987) (6)
- New aspects in interpolation and completion theories (1993) (6)
- The Band Method for Bordered Algebras (1993) (6)
- Factorization of block matrices (1985) (6)
- Nehari interpolation problem for rational matrix functions: The generic case (1991) (6)
- Topics in Matrix and Operator Theory (2000) (6)
- Singular integral operators as a generalization of the resultant matrix (1978) (6)
- On the spectra of finite-dimensional perturbations of matrix multiplication operators (1979) (6)
- Recent advances in operator theory and applications (2005) (5)
- Solution of the Yule-Walker equations (1991) (5)
- The band method for extension problems and maximum entropy (1990) (5)
- Inertia theorems for operator pencils and applications (1995) (5)
- Minimal Factorization of Integral Operators and Cascade Decompositions of Systems (1986) (5)
- Localization of singular integral operators (1979) (5)
- Taylor coefficients of a pseudo‐exponential potential and the reflection coefficient of the corresponding canonical system (2005) (5)
- Boundary Nevanlinna-Pick Interpolation (1990) (5)
- Matrix Integral Operators on a Finite Interval with Kernels Depending on the Difference of the Arguments (2010) (5)
- A time-varying generalization of the canonical factorization theorem for Toeplitz operators (1993) (5)
- Distribution of Zeros of Orthogonal Functions Related to the Nehari Problem (1996) (5)
- Multiplication by Diagonals and Reduction to Canonical Factorization (1986) (5)
- Toeplitz Operators and Related Topics (1994) (5)
- A note on extensions of band matrices with maximal and submaximal invertible blocks (1991) (5)
- Algorithms for inversion of diagonal plus semiseparable operator matrices (2002) (5)
- The State Space Method for Solving Singular Integral Equations (1991) (5)
- Discrete Analogs of Canonical Systems with Pseudo-exponential Potential. Inverse Problems (2005) (5)
- On canonical factorization of rational matrix functions (1996) (5)
- Wiener-Hopf Integral Operators (1990) (5)
- The structure of flat gain rational matrices that satisfy two-sided interpolation requirements (1993) (4)
- Pairs of shift invariant subspaces of matrices and noncanonical factorization (1986) (4)
- The State Space Method in the Study of Interpolation by Rational Matrix Functions (1991) (4)
- Condition and accuracy of algorithms for computing Schur coefficients of Toeplitz matrices (1994) (4)
- Finite section method for linear ordinary differential equations. (2000) (4)
- On inversion of finite Toeplitz matrices with elements in an algebraic ring (2004) (4)
- On a Pair Integral Equation and its Transpose (1983) (4)
- The inverse problem for Krein orthogonal matrix functions (2007) (4)
- A directional partial realization problem (1991) (4)
- On invertibility of finite sections of toeplitz matrices (1982) (4)
- Operator algebras, operator theory and applications (2008) (4)
- Reduction of the Abstract Four Block Problem to a Nehari Problem (1992) (4)
- Out-of-band quasiseparable matrices (2008) (4)
- ON HERMITIAN SOLUTIONS OF THE SYMMETRIC (1986) (4)
- Nonstationary Szegö theorem, band sequences and maximum entropy (1988) (4)
- Algebras of Singular Integral Operators with Shift (2010) (4)
- Holomorphic operator functions (1994) (4)
- Local and global factorizations of matrix-valued functions (1977) (4)
- Prediction and the inverse of Toeplitz matrices (1994) (4)
- Inversion of Finite Toeplitz Matrices (2010) (3)
- The asymptotic behavior of the singular values of matrix powers and applications (1996) (3)
- On a class of entire matrix function equations (2007) (3)
- Discrete Systems and their Characteristic Spectral Functions (2007) (3)
- New Inequalities for the Characteristic Numbers of Integral Equations with Smooth Kernels (1983) (3)
- A sign characteristic for selfadjoint rational matrix functions (1984) (3)
- Interpolation Theory, Systems Theory and Related Topics (2012) (3)
- Factorization of Real Matrix Functions (1979) (3)
- Interpolation Problems for Matrix Polynomials and Rational Matrix-Functions (1990) (3)
- On an open problem for block-toeplitz matrices (1979) (3)
- On selfadjoint matrix polynomials (1979) (3)
- Inversion of Finite ToeplitzMatrices Consisting of Elements of a Noncommutative Algebra (2010) (3)
- Finite Section Method for Difference Equations (2002) (3)
- Left and right factorizations of rational matrix functions (1994) (3)
- Wiener-Hopf equations and linear systems (1997) (3)
- Quasi-commutativity of Entire Matrix Functions and the Continuous Analogue of the Resultant (2006) (3)
- Exact constants in theorems on the boundedness of singular operators (1992) (3)
- Prediction for two processes and the nehari problem (1997) (3)
- Fast inversion of Hessenberg-quasiseparable-Vandermonde matrices and resulting recurrence relations and characterizations (3)
- Condition numbers for functions of matrices (1993) (3)
- Nehari Interpolation Problem (1990) (3)
- The band extension on the real line as a limit of discrete band extensions. II : The entropy principle (1992) (2)
- On contractions in spaces with an indefinite metric: G-norms and spectral radii (1996) (2)
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- Inversion formulas for infinite generalized Toeplitz matrices (1998) (2)
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- Block Toeplitz Operators (1993) (2)
- A Fast QR Eigenvalue Method for a Class of Structured Matrices (2008) (2)
- Singular Integral Equations with Continuous Coefficients on a Composed Contour (2010) (2)
- Trace Class and Hilbert-Schmidt Operators in Hilbert Space (2000) (2)
- Toeplitz matrices and singular integral equations : the Bernd Silbermann anniversary volume (2002) (2)
- Laurent and Toeplitz Operators (2003) (2)
- Asymptotic properties of Toeplitz matrix factorization (1978) (2)
- Singular numbers of contractions in spaces with an indefinite metric and Yamamoto's theorem (1999) (2)
- On Toeplitz and Wiener-Hopf Operators with Contourwise Rational Matrix and Operator Symbols (1986) (2)
- Convolution Equations on a Finite Interval (2003) (2)
- Orthogonal matrix-valued polynomials and applications/Seminar on Operator theory, Tel-Aviv (1988) (2)
- The Wiener-Hopf Method for the Transport Equation: a Finite Dimensional Version (1991) (2)
- State Space Methods for Analysis Problems Involving Rational Matrix Functions (1999) (2)
- Problems and methods in mathematical physics : the Siegfried Prössdorf memorial volume : proceedings of the 11th TMP, Chemnitz (Germany), March 25-28, 1999 (2001) (2)
- Time-Variant Systems and Interpolation (2012) (2)
- Twelve Papers on Functional Analysis and Geometry (1969) (2)
- Cascade decompositions of linear systems in terms of realizations (1989) (2)
- Linear operators and matrices : the Peter Lancaster anniversary volume (2002) (2)
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- Vladimir Maz’ya: Friend and mathematician. Recollections (1999) (2)
- 11. Algebras of Matrices and Invariant Subspaces (2006) (2)
- On Singular Integral Equations with Unbounded Coefficients (2010) (2)
- On a Completion Problem for Matrices (1993) (2)
- Direct approach to the band completion problem (2004) (2)
- Finite Section Method for Linear Ordinary Differential Equations on the Full Line (2002) (2)
- On an Algebra Generated by the Toeplitz Matrices in the Spaces h p (2010) (2)
- Singular values of positive pencils and applications (1998) (2)
- On line integrals of rational functions of two complex variables (1982) (1)
- Singular Points of Families of Fredholm Integral Operators (1982) (1)
- Banach Algebras Generated by Toeplitz Operators (1993) (1)
- Monotone power method in indefinite metric and inertia theorem for matrices (1996) (1)
- General theorems on singular integral operators (1992) (1)
- The Band Extension on the Real Line as a Limit of Discrete Band Extensions, I. The Main Limit Theorem (1992) (1)
- Time Invariant Systems (1998) (1)
- 2. Representation of Monic Matrix Polynomials (2009) (1)
- Rational Matrix Functions (1990) (1)
- Inverse Problems for First-Order Discrete Systems (2007) (1)
- Topics in operator theory systems and networks : Workshop on Applications of Linear Operator Theory to Systems and Networks, Rehovot (Israel), June 13-16, 1983 (1984) (1)
- Application to Transport Equation (1979) (1)
- Singular Values of Compact Operators (1990) (1)
- Factorization of banded lower triangular infinite matrices (1996) (1)
- Bibliography of Mark Grigor’Evich Krein (1988) (1)
- Computations with quasiseparable polynomials and matrices T (2018) (1)
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- Operator Theory and Boundary Eigenvalue Problems : International Workshop in Vienna, July 27-30, 1993 (1995) (1)
- Discrete time-variant interpolation as classical interpolation with an operator argument (1996) (1)
- Applications to Control Systems (1998) (1)
- Perturbations and Stability (1981) (1)
- Fast inversion of Chebyshev { Vandermonde matrices 1 (1994) (1)
- Counting negative eigenvalues of a Hilbert-Schmidt operator via sign changes of a determinant (1991) (1)
- Orthogonal Matrix-valued Polynomials and Applications: Seminar on Operator Theory at the School of Mathematical Sciences, Tel Aviv University (2000) (1)
- Finite Section Method for Linear Ordinary Differential Equations Revisited (2002) (1)
- Partial Realization as an Interpolation Problem (1990) (1)
- Topics in Operator Theory: Constantin Apostol Memorial Issue (1999) (1)
- Multiplication of Matrices (2014) (1)
- Eleven Papers on Logic, Algebra, Analysis and Topology (1971) (1)
- Null Structure and Interpolation Problems for Matrix Polynomials (1990) (1)
- The First Inversion Algorithms (2014) (1)
- Modern analysis and applications: the mark krein centenary conference, volume 1: operator theory and related topics. (2009) (1)
- Reminiscences on Ciprian Foias, my good friend and close colleague, on the occasion of his 75th birthday (2008) (1)
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- Modern operator theory and applications : the Igor Borisovich Simonenko anniversary volume (2007) (1)
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- The Factorization of Rational Matrix Functions (1981) (1)
- In commemoration of the one hundredth anniversary of the birth of Otto Toeplitz (1981) (1)
- Linear Operators and Matrices (2002) (1)
- Toeplitz Lectures 1983 (1984) (1)
- Operator Theory and Complex Analysis: Workshop on Operator Theory and Complex Analysis Sapporo (Japan) June 1991 (2012) (1)
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- Block Shift Operators (1993) (1)
- The maximum principle for the three chains completion problem (1998) (1)
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- Canonical Factorizations of Continuous Matrix Functions (1981) (0)
- Titles previously published in the series operator theory: Advances and applications (1996) (0)
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- Factorization of Analytic Operator Functions (1995) (0)
- Differential and Integral Operators (1998) (0)
- 9. Commuting Matrices and Hyperinvariant Subspaces (2006) (0)
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- Extensions of triangular Hilbert-Schmidt operators (1984) (0)
- David Milman (1912–1982) (1986) (0)
- Editorial introduction (1985) (0)
- Applications of the Band Method (1993) (0)
- Spectral Theory for Bounded Selfadjoint Operators (1990) (0)
- Nuclear Operators in Banach Spaces (2000) (0)
- 16. Perturbations of Lattices of Invariant Subspaces with Restrictions on the Jordan Structure (2006) (0)
- A General Scheme for Completion and Extension Problems (1993) (0)
- Families of subspaces (2009) (0)
- Rational Matrix Functions with J-Unitary Values on the Unit Circle (1990) (0)
- Trace and Determinant (1990) (0)
- One—sided invertible operators (1991) (0)
- Lower upper factorizations of operators with middle terms (1988) (0)
- Constantin Apostol — List of Publications (1988) (0)
- 14. The Metric Spaces of Invariant Subspaces (2006) (0)
- Special Class of Block Toeplitz Matrices (2003) (0)
- 3. Coinvariant and Semiinvariant Subspaces (2006) (0)
- Factorizations of semi-separable operators along continuous chains of projections (1988) (0)
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- 7. Spectral Properties and Representations (2009) (0)
- About the Mark Krein International Conference (2000) (0)
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- Toeplitz lectures 1987 (1987) (0)
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- 7. Rational Matrix Functions (2006) (0)
- Unitary Systems and Characteristic Operator Functions (1993) (0)
- Completion of Mutually Inverse Matrices (2014) (0)
- A Class of Ordinary Differential Operators on a Half Line (1990) (0)
- Supervision of PhD Dissertations (2004) (0)
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- Poincaré Operators: Determinant and trace (2003) (0)
- David Milman (1912-1982) (1986) (0)
- Continuous Infinite Analogue of Krein’s Theorem (2003) (0)
- Elementary Operations on Blocks (1995) (0)
- Opening Address Toeplitz Memorial Conference (2008) (0)
- Discrete Infinite Analogue of Krein’s Theorem (2003) (0)
- Proofs Using the Commutant Lifting Theorem (1998) (0)
- The Calgary conference and matrix theory papers (1989) (0)
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- Matrices with Separable Representation and Low Complexity Algorithms (2014) (0)
- Mark Grigorievich Krein: Recollections (1998) (0)
- Recent trends in Toeplitz and pseudodifferential operators : the Nikolai Vasilevskii anniversary volume (2010) (0)
- Unbounded Fredholm Operators and Perturbation Theorems (1990) (0)
- Rational Matrix Functions with J-Unitary Values on the Imaginary Line (1990) (0)
- Peter Lancaster, my Friend and Co-author (2002) (0)
- A Generalization of the One-Step Theorem for Matrix Polynomials (2003) (0)
- Recent progress in operator theory : International Workshop on Operator Theory and Applications, IWOTA 95, in Regensburg, July 31-August 4, 1995 (1998) (0)
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- The Fredholm Determinant (2000) (0)
- The Minimal Rank Completion Problem (2014) (0)
- The Rouché theorem for operator functions (2009) (0)
- Mark Grigorevich Krein (A Short Biography) (2000) (0)
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- The QR-Factorization Based Method (2014) (0)
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- Implicit Methods with Compression (2014) (0)
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- Polynomial Interpolation Problems Based on Divisibility (1990) (0)
- Local Principles and their first applications (1991) (0)
- The QR Iteration Method for Eigenvalues (2014) (0)
- Miscellaneous Results on Factorization Relative to a Contour (1981) (0)
- Interpolation Problems with Null and Pole Pairs (1990) (0)
- 9. Least Common Multiples and Greatest Common Divisors of Matrix Polynomials (2009) (0)
- On a Local Principle and Algebras Generated by Toeplitz Matrices (2010) (0)
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- 4. Jordan Forms for Extensions and Completions (2006) (0)
- Singular integral operators with piecewise continuous coefficients and their applications (1992) (0)
- The Reduction to Hessenberg Form (2014) (0)
- Conquer Step and Eigenproblem for Rational Matrix Functions (2014) (0)
- Ten Papers on Functional Analysis and Measure Theory (1966) (0)
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- 10. General Theory (2009) (0)
- Null Structure for Analytic Matrix Functions (1990) (0)
- 8. Applications to Differential and Difference Equations (2009) (0)
- Local Data for Meromorphic Matrix Functions (1990) (0)
- A connection between the determinant and characteristic numbers of an operator pencil (2001) (0)
- Main Problems and Motivation (1995) (0)
- Publications of Bernd Silbermann (2002) (0)
- Reverse, Left and Right Orthogonalization (2003) (0)
- Kernels of Quasiseparable of Order One Matrices (2014) (0)
- Nonselfadjoint Operators and Related Topics : Workshop on Operator Theory and Its Applications, Beersheva, February 24-28, 1992 (1994) (0)
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- 2. The Jordan Form and Invariant Subspaces (2006) (0)
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- Central Commutant Lifting (1998) (0)
- Completion to Green Matrices (2014) (0)
- 3. Multiplication and Divisibility (2009) (0)
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- Quasiseparable Representations and Descriptor Systems with Boundary Conditions (2014) (0)
- On non-square sections of Wiener-Hopf operators (1982) (0)
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- 8. Linear Systems (2006) (0)
- Elements of C*-Algebra Theory (1993) (0)
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- In Memoriam Georg Heinig (1947–2005) (2008) (0)
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- Riesz Projections and Functional Calculus (1990) (0)
- Multiplicative cocycles ( $$ \mathcal{O}^G $$ -cocycles) (2009) (0)
- Integral Operators with Semi-Separable Kernels (1990) (0)
- Einar Hille memorial issue (1981) (0)
- Philosophical-Mathematical Tales A Personal Account (2008) (0)
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- Applications to Matrix Polynomials (1995) (0)
- Strongly Continuous Semigroups (1990) (0)
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- Linear Operators on a Banach Space (2003) (0)
- 6. Invariant Subspaces for Transformations Between Different Spaces (2006) (0)
- Review of Minimal Factorization of Matrix and Operator Functions* by H. Bart, I. Gohberg, and M. A. Kaashoek Peter Lancaster Dcpurtnent of Muthernatics (2001) (0)
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- Topics in analysis and operator theory (1989) (0)
- Orthogonal Operator-Valued Polynomials (2003) (0)
- Rational Matrix Functions with Null and Pole Structure at Infinity (1990) (0)
- Twelve Papers on Topology, Algebra and Number Theory (1966) (0)
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- 5. Perturbation and Stability of Divisors (2009) (0)
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- Applications of the Three Chains Completion Theorem to Interpolation (1998) (0)
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- Recent Trends in Toeplitz and Pseudodifferential Operators (2010) (0)
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- 19. Jordan Form of Analytic Matrix Functions (2006) (0)
- In Memoriam Seymour Goldberg (1928–2004) (2008) (0)
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- 13. The Metric Space of Subspaces (2006) (0)
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- Elementary properties of holomorphic functions (2009) (0)
- Singular integral operators with continuous coefficients (1991) (0)
- Applications to Rational Matrix Functions (1995) (0)
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- 12. Further Analysis of the Sign Characteristic (2009) (0)
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- Book Review: (1990) (0)
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- Completions of Matrices (1993) (0)
- Reformulations of Krein’s Theorem (2003) (0)
- Factorization of Continuous Self-Adjoint Matrix Functions on the Unit Circle (1981) (0)
- A fast realization of preconditioned Conjugate Gradients for Wiener-Hopf integral equations (1995) (0)
- Interpolation Problems for Rational Matrix Functions Based on Divisibility (1990) (0)
- Factorization of Operator Polynomials (1995) (0)
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- Generalized interpolation problems (2009) (0)
- Multiplicative Lower-Upper Triangular Decompositions of Operators (1993) (0)
- Continuous Extension of Trace and Determinant (2000) (0)
- The Growth of the Resolvent Operator and Applications to Completeness (1990) (0)
- Differential Operators and Related Topics : Proceedings of the Mark Krein International Conference on Operator Theory and Applications, Odessa, Ukraine, August 18-22, 1997 Volume I (2000) (0)
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- Hilbert-Carleman Determinants (2000) (0)
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- Determinants of Integral Operators with Semi-separable Kernels (2000) (0)
- Topics in Operator Theory and Interpolation: Essays dedicated to M. S. Livsic on the occasion of his 70th birthday (1988) (0)
- 15. Continuity and Stability of Invariant Subspaces (2006) (0)
- Recent Progress in Operator Theory (1998) (0)
- The operator of singular integration (1991) (0)
- Wiener-Hopf operators, Toeplitz operators and factorization (2009) (0)
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- Possible Values of Traces and Determinants. Perelson Algebras (2000) (0)
- Full Length Blocks (1995) (0)
- Mark Grigorievich Krein (on his 100th birthday anniversary) (2009) (0)
- 13. Quadratic Self-Adjoint Polynomials (2009) (0)
- Null-Pole Subspaces: Elementary Properties (1990) (0)
- Nonstationary Systems and Point Evaluation (1998) (0)
- On Joint Work with Harry Dym (2002) (0)
- Singular Integral Operators and Related Topics : Joint German-Israeli Workshop, Tel Aviv, March 1-10, 1995 (1996) (0)
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- Ten Papers in Analysis (1973) (0)
- Modern Analysis and Applications : The Mark Krein Centenary Conference Volume 2: Differential Operators and Mechanics (2009) (0)
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- Fourteen Papers on Functional Analysis and Differential Equations (1967) (0)
- Operational Calculus with Applications (2001) (0)
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- The Eigenvalue Completion Problem for Full Length Blocks (1995) (0)
- The Symbol of Singular Integral Operators on a Composed Contour (2010) (0)
- 12. Real Linear Transformations (2006) (0)
- Implicit Algorithms Based on the QR Representation (2014) (0)
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