Peter Lancaster

Q: What Schools Are Affiliated With Peter Lancaster

Peter Lancaster is affiliated with the following schools: University of Calgary, University of Liverpool, National University of Singapore

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Peter Lancaster

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Ring Theory

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Algebra

#55

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#96

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Measure Theory

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#456

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Mathematics

Why Is Peter Lancaster Influential?

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According to Wikipedia, Peter Lancaster is a British–Canadian mathematician. He is professor emeritus at the University of Calgary, where he has worked since 1962. His research focuses on matrix analysis and related fields, motivated by problems from vibration theory, numerical analysis, systems theory, and signal processing.

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Peter Lancaster's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

The theory of matrices (1969) (7952)
Surfaces generated by moving least squares methods (1981) (2493)
Algebraic Riccati equations (1995) (1439)
Curve and surface fitting - an introduction (1986) (822)
The theory of matrices : with applications (1985) (790)
Invariant subspaces of matrices with applications (1986) (577)
Factorization of selfadjoint matrix polynomials with constant signature (1982) (406)
Curve and surface fitting (1986) (385)
Lambda-matrices and vibrating systems (2002) (382)
Matrices and indefinite scalar products (1983) (320)
Indefinite Linear Algebra and Applications (2005) (299)
On eigenvalues of matrices dependent on a parameter (1964) (281)
Explicit Solutions of Linear Matrix Equations (1970) (252)
Iterative solution of two matrix equations (1999) (171)
Derivatives of eigenvalues and eigenvectors of matrix functions (1993) (165)
Canonical Forms for Hermitian Matrix Pairs under Strict Equivalence and Congruence (2005) (135)
Linearization of matrix polynomials expressed in polynomial bases (2008) (120)
Existence and uniqueness theorems for the algebraic Riccati equation (1980) (114)
Linear matrix equations from an inverse problem of vibration theory (1996) (111)
Spectral analysis of selfadjoint matrix polynomials (1980) (111)
Spectral analysis of matrix polynomials— I. canonical forms and divisors (1978) (83)
On hermitian solutions of the symmetric algebraic Riccati equation (1986) (83)
Inverse problems for damped vibrating systems (2005) (77)
General theory of regular matrix polynomials and band Toeplitz operators (1988) (76)
Factored forms for solutions of AX − XB = C and X − AXB = C in companion matrices (1984) (76)
Overdamped and Gyroscopic Vibrating Systems (1992) (72)
The Algebraic Riccati Equation (1995) (66)
Linear complexity parallel algorithms for linear systems of equations with recursive structure (1987) (66)
Canonical forms for symmetric/skew-symmetric real matrix pairs under strict equivalence and congruence (2005) (65)
Square roots of complex matrices (1974) (64)
Expressions for Damping Matrices in Linear Vibration Problems (1961) (59)
Complex interval arithmetic (1971) (59)
Linearization of regular matrix polynomials (2008) (55)
Inverse eigenvalue problems for damped vibrating systems (1987) (54)
Hermitian solutions of the discrete algebraic Riccati equation (1986) (54)
On the perturbation of analytic matrix functions (1999) (54)
Analysis and modificaton of Newton's method for algebraic Riccati equations (1998) (52)
A generalised rayleigh quotient iteration for lambda-matrices (1961) (52)
Stability of linear gyroscopic systems: A review (2013) (52)
Strongly definitizable linear pencils in Hilbert space (1993) (51)
Norms on direct sums and tensor products (1972) (50)
On the Pseudospectra of Matrix Polynomials (2005) (50)
Inverse Spectral Problems for Semisimple Damped Vibrating Systems (2007) (49)
Error analysis for the Newton-Raphson method (1966) (49)
ORDINARY DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS (1966) (48)
Perturbation Theory for Analytic Matrix Functions: The Semisimple Case (2003) (47)
Solutions of the Continuous and Discrete Time Algebraic Riccati Equations: A Review (1991) (46)
Algorithms for hyperbolic quadratic eigenvalue problems (2005) (46)
Strongly stable gyroscopic systems (1999) (45)
A Note on Weak and Strong Linearizations of Regular Matrix Polynomials (2005) (44)
Spectral analysis of matrix polynomials— II. The resolvent form and spectral divisors (1978) (42)
Consistency adjustments for pairwise comparison matrices (2003) (42)
Free Vibration and Hysteretic Damping (1960) (42)
Gyroscopically Stabilized Systems: A Class Of Quadratic Eigenvalue Problems With Real Spectrum (1991) (41)
Definitizable Operators and Quasihyperbolic Operator Polynomials (1995) (40)
Damped vibrations of beams and related spectral problems (1994) (39)
Problems of control and information theory (Hungary) (1980) (38)
DIAGONALIZABLE QUADRATIC EIGENVALUE PROBLEMS (2009) (37)
Algorithms for lambda-matrices (1964) (36)
Newton's Method for a Generalized Inverse Eigenvalue Problem (1997) (32)
Representations and Divisibility of Operator Polynomials (1978) (32)
Variational Properties and Rayleigh Quotient Algorithms for Symmetric Matrix Pencils (1989) (31)
Invariant Subspaces of Matrices with Applications (Classics in Applied Mathematics, 51) (2006) (30)
Inversion of lambda-matrices and application to the theory of linear vibrations (1960) (29)
On the Optimal Value of the Spectral Abscissa for a System of Linear Oscillators (1999) (29)
11. Factorization of Self-Adjoint Matrix Polynomials (2009) (27)
Contraining Strategies for Linear Iterative Processes (1990) (27)
On pseudospectra of matrix polynomials and their boundaries (2006) (26)
A Fundamental Theorem on Lambda-Matrices with Applications -I. Ordinary Differential Equations with Constant Coefficients (1977) (26)
Moving Weighted Least-Squares Methods (1979) (25)
Model-updating for self-adjoint quadratic eigenvalue problems (2008) (25)
Isospectral vibrating systems. Part 1. The spectral method (2005) (24)
Isospectral families of high‐order systems (2007) (23)
The Gohberg Anniversary Collection (1989) (23)
CHAPTER 4 – LAMBDA-MATRICES, II (1966) (22)
Perturbations ofH-selfadjoint matrices, with applications to differential equations (1982) (22)
On the numerical solution of nonlinear eigenvalue problems (1995) (22)
Recent Developments in Operator Theory and Its Applications : International Conference in Winnipeg, October 2-6, 1994 (1996) (22)
Some recent results on MDGKN‐systems (2015) (21)
Eigenvectors of H‐Selfadjoint Matrices (1984) (21)
A New Book in Linear Algebra: Indefinite Linear Algebra and Applications (2005) (21)
Quadratic matrix polynomials with a parameter (1986) (21)
Perturbation of analytic hermitian matrix functions (1985) (20)
Symmetric, positive semidefinite, and positive definite real solutions of AX = XAT and AX = YB (1992) (20)
Isospectral Vibrating Systems, Part 2: Structure Preserving Transformations (2005) (19)
Inverse spectral problems for linear and quadratic matrix pencils (1988) (18)
On the Matrix Equation $AX + X^ * A^ * = C$ (1983) (18)
Low rank perturbations of strongly definitizable transformations and matrix polynomials (1994) (18)
On the Stability of Gyroscopic Systems (1998) (18)
Convergence properties of ART and SOR algorithms (1991) (17)
Variational and numerical methods for symmetric matrix pencils (1991) (17)
Stabilization of Gyroscopic Systems (2001) (17)
A fundamental theorem on lambda-matrices with applications —II. Difference equations with constant coefficients (1977) (16)
Numerical methods for finding multiple eigenvalues of matrices depending on parameters (1997) (16)
Definitizable hermitian matrix pencils (1992) (16)
Threshold algorithms for the prediction of reflection coefficients in a layered medium (1988) (16)
The Numerical Range of Self-Adjoint Quadratic Matrix Polynomials (2001) (16)
Normal and seminormal eigenvalues of matrix functions (2001) (16)
Inertia characteristics of self-adjoint matrix polynomials (1983) (16)
An existence and monotonicity theorem for the discrete algebraic matrix Riccati equation (1987) (15)
Perturbation Theory for Divisors of Operator Polynomials (1979) (15)
LAMBDA-MATRICES, II (1966) (15)
CANONICAL STRUCTURES FOR PALINDROMIC MATRIX POLYNOMIALS (2007) (15)
Jordan chains for lambda matrices (1968) (15)
Condition Numbers of Toeplitz and Block Toeplitz Matrices (1986) (14)
On the Inverse Symmetric Quadratic Eigenvalue Problem (2014) (14)
FREE VIBRATIONS OF LIGHTLY DAMPED SYSTEMS BY PERTURBATION METHODS (1960) (14)
Filters connecting isospectral quadratic systems (2013) (14)
Perturbation of spectral inverses applied to a boundary layer phenomenon arising in chemical networks (1993) (14)
Spectral properties of diagonally dominant infinite matrices, part I (1989) (14)
A Precise Bound For Gyroscopic Stabilization (2000) (14)
The structure of some matrices arising in tomography (1990) (14)
Spectral properties of diagonally dominant infinite matrices. II (1991) (13)
Minimal symmetric factorizations of symmetric real and complex rational matrix functions (1995) (13)
A sign characteristic for selfadjoint meromorphic matrix functions (1983) (13)
Some Families of Finite Elements (1977) (12)
A Review of Numerical Methods for Eigenvalue Problems Nonlinear in the Parameter (1977) (12)
A Stability Criterion for Parameter-Dependent Gyroscopic Systems (1999) (12)
Rayleigh quotient algorithms for nonsymmetric matrix pencils (2009) (12)
Solutions of Nonlinear Operator Equations (1977) (12)
Hermitian Quadratic Matrix Polynomials: Solvents and Inverse Problems (2012) (11)
Testing the independent effects of population and shelter density on behavioural and corticosterone responses of tree skinks (2010) (11)
Mathematics: Models of the real world (1976) (10)
The kernel of the bezoutian for operator Polynomials (1985) (10)
Invariant Neutral Subspaces for Symmetric and Skew Real Matrix Pairs (1994) (10)
A Review of Canonical Forms for Selfadjoint Matrix Polynomials (2012) (10)
Spectral properties of a polynomial operator (1969) (9)
Some extensions and modifications of classical stability tests for polynomials (1983) (9)
Model-Updating for Symmetric Quadratic Eigenvalue Problems (2006) (9)
Selective perturbation of spectral properties of vibrating systems using feedback (1988) (9)
Perturbations of G-Selfadjoint Operators and Operator Polynomials with Real Spectrum (1996) (8)
Some applications of the Newton—Raphson method to non-linear matrix problems (1963) (8)
Common eigenvalues, divisors, and multiples of matrix polynomials: A review (1986) (8)
Convergence of the Newton-Raphson Method For Arbitary Polynomials (1964) (7)
The spectrum and stability of a vibrating rail supported by sleepers (1996) (7)
The order of neutrality for linear operators on inner product spaces (1997) (7)
Rayleigh-Ritz and Lanczos methods for symmetric matrix pencils (1993) (7)
Parametrizing Structure Preserving Transformations of Matrix Polynomials (2012) (7)
Implementation of a Markov model for phylogenetic trees. (2006) (7)
Bases of Splines Associated with Constant Coefficient Differential Operators (1975) (7)
A Note on Factorization of Analytic Matrix Functions (2001) (6)
Factorization of selfadjoint quadratic matrix polynomials with real spectrum (1995) (6)
A wider class of stable gyroscopic systems (2003) (6)
Analytic pertubation theory for matrices and operators (1987) (5)
Transform methods in applied mathematics - an introduction (1996) (5)
Approximation of positive matrices by transitive matrices (2005) (5)
Composite Methods for Generating Surfaces (1979) (5)
The Role of the Hamiltonian in the Solution of Algebraic Riccati Equations (1999) (5)
ON REGULAR PENCILS OF MATRICES ARISING IN THE THEORY OF VIBRATIONS (1963) (5)
Sensitivities of eigenvalues and eigenvectors of problems nonlinear in the eigenparameter (1992) (5)
Recent advances in operator theory and applications (2005) (5)
H -Selfadjoint and H -Unitary Matrix Pencils (1998) (5)
Interpolation in the Plane and Rectangular Finite Elements (1976) (4)
Linearizations, realization, and scalar products for regular matrix polynomials (1998) (4)
On the Sign Characteristics of Selfadjoint Matrix Polynomials (2013) (4)
Irreversible Markov processes for phylogenetic models (2003) (4)
The numerical range of selfadjoint matrix polynomials (1998) (4)
On the numerical calculation of eigenvalues and eigenvectors of operator polynomials (1977) (4)
ON HERMITIAN SOLUTIONS OF THE SYMMETRIC (1986) (4)
Repeated eigenvectors and the numerical range of self-adjoint quadratic operator polynomials (2002) (3)
Bounds for Latent Roots in Damped Vibration Problems (1964) (3)
On selfadjoint matrix polynomials (1979) (3)
THE THEORY OF VIBRATING SYSTEMS (1966) (3)
An orthogonality property for real symmetric matrix polynomials with application to the inverse problem (2013) (3)
A sign characteristic for selfadjoint rational matrix functions (1984) (3)
Second order parallel algorithms for Fredholm integral equations with continuous displacement kernels (1987) (3)
Comments on Stability Properties of Conservative Gyroscopic Systems (1999) (3)
The Gohberg Anniversary Collection : Volume I: The Calgary Conference and Matrix Theory Papers (1989) (3)
Automatic errorbounds for the approximate solution of equations (1969) (2)
Generalized hermitian matrices: A new frontier for numerical analysis? (1982) (2)
Minimal Factorization of Matrix and Operator Functions (H. Bart, I. Gohberg, and M. A. Kaashoek) (1981) (2)
Spectral theory for self-adjoint quadratic eigenvalue problems - a review (2021) (2)
Generalized Schur parameters and the effects of perturbations (1988) (2)
11. Algebras of Matrices and Invariant Subspaces (2006) (2)
Schur Decompositions of a Matrix and the Boundary of Its Pseudospectrum (2010) (2)
Factorization of selfadjoint matrix polynomials with reas Spectrum (1996) (2)
The local determination of Jordan bases for H-self-adjoint operators (1982) (2)
Minimal Pencil Realizations of Rational Matrix Functions with Symmetries (1998) (2)
Linear operators and matrices : the Peter Lancaster anniversary volume (2002) (2)
Jordan chains for lambda matrices, II) (1970) (2)
On the reconstruction of layered media from reflection data (1991) (2)
On the numerical solution of integral equations with piecewise continuous displacement kernels (1989) (2)
Second order parallel algorithms for piecewise smooth displacement kernels (1992) (2)
A Boundary Value Problem from the Study of Heat Transfer (1975) (2)
Interpolation in a Rectangle and Finite Elements of High Degree (1976) (2)
A stabilization criterion for matrices (2007) (2)
Inverse problems for Hermitian quadratic matrix polynomials (2012) (1)
INTERPOLATION OF MATRIX-VALUED FUNCTIONS USING POLYNOMIAL BASES (2006) (1)
A note on sub-multiplicative norms (1972) (1)
Jordan chains for lambda matrices, II (1970) (1)
Alexander M. Ostrowski, 1893–1986 (1987) (1)
A definiteness test for Hankel matrices and their lower submatrices (1987) (1)
Review of minimal factorization of matrix and operator functions by H. Bart, I. Gohberg, and M.A. Kaashoek☆ (1981) (1)
2. Representation of Monic Matrix Polynomials (2009) (1)
ON THE THEORY OF RESONANCE TESTING (1966) (1)
Definitizable G-Unitary Operators and their Applications to Operator Polynomials (1996) (1)
Model-Updating for Symmetric Quadratic Eigenvalue Problems Lancaster , Peter 2006 MIMS EPrint : 2006 (2017) (0)
INVERSE SPECTRAL PROBLEMS FOR LINKED VIBRATING (2018) (0)
Definitizable hermitian matrix pencils (1993) (0)
15. Continuity and Stability of Invariant Subspaces (2006) (0)
My Life and Mathematics (2002) (0)
IG and Me (2008) (0)
10. General Theory (2009) (0)
4. Jordan Forms for Extensions and Completions (2006) (0)
Inverse Spectral Problems for Linked Vibrating Systems and Structured Matrix Polynomials (2017) (0)
Methods in Analysis, by Jack Indritz. Macmillan Co. (New York), Collier-Macmillan Canada Ltd. (Toronto), 1963. x + 476 pages. (1965) (0)
4. Spectral Divisors and Canonical Factorization (2009) (0)
International Conference on Operator Theory: Advances & Applications A Conference to mark the 60th birthday of I. Gohberg (1989) (0)
FURTHER RESULTS FOR SYSTEMS WITH DAMPING (1966) (0)
8. Applications to Differential and Difference Equations (2009) (0)
3. Coinvariant and Semiinvariant Subspaces (2006) (0)
14. The Metric Spaces of Invariant Subspaces (2006) (0)
3. Multiplication and Divisibility (2009) (0)
19. Jordan Form of Analytic Matrix Functions (2006) (0)
2. The Jordan Form and Invariant Subspaces (2006) (0)
7. Spectral Properties and Representations (2009) (0)
Topics in analysis and operator theory (1989) (0)
7. Rational Matrix Functions (2006) (0)
6. Invariant Subspaces for Transformations Between Different Spaces (2006) (0)
13. The Metric Space of Subspaces (2006) (0)
Spectral Properties of Finite-dimensional Waveguide Systems (2015) (0)
Instability of Gyroscopic Systems (1997) (0)
1. Invariant Subspaces: Definition, Examples, and First Properties (2006) (0)
5. Perturbation and Stability of Divisors (2009) (0)
The Calgary conference and matrix theory papers (1989) (0)
Doll or stuffed animal. (1992) (0)
The Technological Hybrid of Geofencing Engineering (0)
REGULAR PENCILS OF MATRICES AND EIGENVALUE PROBLEMS (1966) (0)
1. Linearization and Standard Pairs (2009) (0)
In memoriam Israel Gohberg (2010) (0)
12. Further Analysis of the Sign Characteristic (2009) (0)
6. Extension Problems (2009) (0)
9. Least Common Multiples and Greatest Common Divisors of Matrix Polynomials (2009) (0)
10. Description of Invariant Subspaces and Linear Transformations with the Same Invariant Subspaces (2006) (0)
On the boundary of the pseudospectrum and its fault points (2007) (0)
18. Analytic Families of Subspaces (2006) (0)
A BOUNDARY VALUE PROBLEM FROH THE STUDY OF HUT TRANSFER. (1975) (0)
An inverse problem for gyroscopic systems (2015) (0)
8. Linear Systems (2006) (0)
Ela Strongly Stable Gyroscopic Systems * (2001) (0)
A SKETCH OF SOME MATRIX THEORY (1966) (0)
Phylogenetic Trees Predicted by an Irreversible Markov Process (2008) (0)
PHYLOGENETIC TREES FOR VERTEBRATE SPECIES PREDICTED BY AN IRREVERSIBLE MARKOV PROCESS (2006) (0)
SOME NUMERICAL METHODS FOR LAMBDA-MATRICES (1966) (0)
Alexander M. Ostrowski, 1893–1986 (1987) (0)
12. Real Linear Transformations (2006) (0)
Elementary Vector Algebra, by A.M. MacBeath. Oxford University Press, Toronto, 1966. 136 pages. $2.10. (Canadian). (1967) (0)
9. Commuting Matrices and Hyperinvariant Subspaces (2006) (0)
16. Perturbations of Lattices of Invariant Subspaces with Restrictions on the Jordan Structure (2006) (0)
13. Quadratic Self-Adjoint Polynomials (2009) (0)

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Published Works

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What Schools Are Affiliated With Peter Lancaster?

Peter Lancaster's AcademicInfluence.com Rankings