Adhemar Bultheel
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Why Is Adhemar Bultheel Influential?
(Suggest an Edit or Addition)According to Wikipedia, Adhemar François Bultheel is a Belgian mathematician and computer scientist, the former president of the Belgian Mathematical Society. He is a prolific book reviewer for the Bulletin of the Belgian Mathematical Society and for the European Mathematical Society. His research concerns approximation theory.
Adhemar Bultheel'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
- Generalized cross validation for wavelet thresholding (1997) (216)
- Pade´ techniques for model reduction in linear system theory: a survey (1986) (181)
- Orthogonal Rational Functions (1999) (149)
- Computation of the fractional Fourier transform (2004) (138)
- Multiple wavelet threshold estimation by generalized cross validation for images with correlated noise (1999) (117)
- Empirical Bayes Approach to Improve Wavelet Thresholding for Image Noise Reduction (2001) (87)
- Recent developments in the theory of the fractional Fourier and linear canonical transforms (2007) (66)
- Linear Algebra, Rational Approximation and Orthogonal Polynomials (1997) (63)
- Encyclopaedia of Mathematics, Supplement III (2002) (59)
- Integer wavelet transforms using the lifting scheme (1999) (57)
- Laurent Series and their Padé Approximations (1987) (56)
- Stabilised wavelet transforms for non-equispaced data smoothing (2002) (54)
- Wavelets with applications in signal and image processing (2006) (49)
- The Red-Black Wavelet Transform (1997) (46)
- A general module theoretic framework for vector M-Padé and matrix rational interpolation (2005) (43)
- Rational approximation in linear systems and control (2000) (41)
- WAILI: Wavelets with integer lifting (1997) (38)
- Learning to swim in a sea of wavelets (1995) (38)
- Quadrature on the half line and two-point Padé approximants to Stieltjes functions. Part I: A (1995) (38)
- A Szeg˝o theory for rational functions (1990) (38)
- Vector Orthogonal Polynomials and Least Squares Approximation (1995) (38)
- A connection between quadrature formulas on the unit circle and the interval [ - 1,1] (2001) (37)
- On computing rational Gauss-Chebyshev quadrature formulas (2005) (37)
- Orthogonal functions related to the Nevanlinna-Pick problem (1979) (36)
- A shattered survey of the Fractional Fourier Transform (2002) (36)
- Numerically robust transfer function modeling from noisy frequency domain data (2005) (36)
- Asymptotic behavior of the minimum mean squared error threshold for noisy wavelet coefficients of piecewise smooth signals (2001) (35)
- Orthonormal polynomial vectors and least squares approximation for a discrete inner product. (1995) (34)
- A new approach to the rational interpolation problem: the vector case (1990) (34)
- Rational Gauss-Chebyshev quadrature formulas for complex poles outside [-1, 1] (2007) (34)
- Automatic construction of control triangles for subdivided Powell-Sabin splines (2004) (33)
- Orthogonal rational functions with poles on the unit circle (1994) (33)
- On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line (2008) (32)
- A new approach to the rational interpolation problem (1989) (31)
- Quadrature formulas on the unit circle based on rational functions (1994) (30)
- Orthogonal rational functions for system identification: numerical aspects (2003) (30)
- Book review 'Handbook of numerical analysis, volume I. (Finite difference methods - part 1; Solution of equations in R^n - part 1) P.G. Ciarlet and J.L. Lions (eds.)' (1990) (30)
- Orthogonal rational functions and quadrature on an interval (2003) (29)
- A parallel algorithm for discrete least squares rational approximation (1992) (29)
- Quadrature on the half-line and two-point Pade´ approximants to Stieltjes functions—II: convergence (1997) (29)
- The implicit application of a rational filter in the RKS method (1997) (28)
- Discrete linearized least-squares rational approximation on the unit circle (1993) (28)
- Moment problems and orthogonal functions (1993) (28)
- Recursive algorithms for the matrix Padé problem (1980) (27)
- Algorithm 882: Near-Best Fixed Pole Rational Interpolation with Applications in Spectral Methods (2008) (27)
- ORTHOGONAL RATIONAL FUNCTIONS AND INTERPOLATORY PRODUCT RULES ON THE UNIT CIRCLE (2000) (27)
- On the stability of normalized Powell-Sabin B-splines (2004) (27)
- Division algorithms for continued fractions and the Padé table (1980) (25)
- Polynomial and matrix computations. volume 1:Fundamental algorithms : Dario Bini and Victor Pan Progress in Theoretical Computer Science, Birkhäuser, 1994, xvi + 415 pages (1994) (25)
- Powell-Sabin spline Wavelets (2004) (25)
- A lookahead algorithm for the solution of block toeplitz systems (1997) (24)
- Orthogonal rational functions and interpolatory product rules on the unit circle. II. Quadrature and convergence (1998) (22)
- Orthogonal rational functions and tridiagonal matrices (2003) (22)
- Quadrature on the half line and two-point Pade´ approximants to Stieltjes functions: subtitle: Part III. The unbounded case (1997) (22)
- Image de-noising by integer wavelet transforms and generalized cross validation. (1999) (22)
- Quadrature and orthogonal rational functions (2001) (22)
- A new formal approach to the rational interpolation problem (1992) (21)
- Matrix padé approximation: definitions and properties (1990) (21)
- Orthogonal basis functions in discrete least-squares rational approximation (2004) (21)
- A canonical matrix continued fraction solution of the minimal (partial) realization problem (1989) (21)
- Rational Szego quadratures associated with Chebyshev weight functions (2008) (21)
- A relation between orthogonal rational functions on the unit circle and the interval [-1,1] (2000) (20)
- On the convergence of certain Gauss-type quadrature formulas for unbounded intervals (2000) (20)
- Orthogonality and quadrature on the unit circle (1991) (19)
- Orthogonal rational functions and quadrature on the unit circle (2005) (19)
- Orthogonal matrix functions related to the multivariable Nevanlinna-Pick problem (1980) (18)
- Orthogonal rational functions on the real half line with poles in [-∞,0] (2005) (18)
- Recursive algorithms for nonnormal Padé-tables (1980) (18)
- Magic Mathematical Relationships for Nanoclusters (2019) (18)
- Rates of convergence of multipoint rational approximants and quadrature formulas on the unit circle (1997) (17)
- Recurrence and asymptotics for orthonormal rational functions on an interval (2008) (17)
- RATIONAL KRYLOV SEQUENCES AND ORTHOGONAL RATIONAL FUNCTIONS (2008) (17)
- An extended relation between orthogonal rational functions on the unit circle and the interval [−1,1]☆ (2007) (17)
- Computing rational Gauss-Chebyshev quadrature formulas with complex poles: The algorithm (2009) (16)
- Continued fractions and orthogonal rational functions (1998) (16)
- Algorithms to Compute the Reflection Coefficients of Digital Filters (1983) (16)
- Inequalities in Hilbert modules of matrix-valued functions (1982) (16)
- A generalized eigenvalue problem for quasi-orthogonal rational functions (2011) (16)
- Asymptotics for orthogonal rational functions (1994) (16)
- Algebraic and Spectral Properties of General Toeplitz Matrices (2002) (16)
- The Birth of Numerical Analysis (2009) (16)
- Computation of rational Szegő-Lobatto quadrature formulas (2009) (15)
- Orthogonal rational functions similar to Szegő polynomials (1991) (15)
- A rational Stieltjes moment problem (2002) (15)
- Error analysis of incoming and outgoing schemes for the trigonometric moment problem (1981) (15)
- Stable multiresolution analysis on triangles for surface compression (2006) (15)
- Recurrence Relations for Orthogonal Functions (2020) (15)
- Positive interpolatory quadrature formulas and para-orthogonal polynomials (2005) (15)
- A matricial computation of rational quadrature formulas on the unit circle (2009) (15)
- Quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity (2009) (15)
- On a Special Laurent-Hermite Interpolation Problem (1982) (14)
- BPX-type Preconditioners for Second and Fourth Order Elliptic Problems on the Sphere (2007) (14)
- A Hierarchical Basis Preconditioner for the Biharmonic Equation on the Sphere (2006) (14)
- Quadrature Formulas on the Unit Circle and Two-Point Padé Approximation (1994) (14)
- MATRIX CONTINUED FRACTIONS RELATED TO FIRST-ORDER LINEAR RECURRENCE SYSTEMS (1996) (13)
- Using orthogonal rational functions for system identification (2000) (13)
- Generalizations of orthogonal polynomials (2005) (13)
- Rational quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity (2010) (13)
- Positive rational interpolatory quadrature formulas on the unit circle and the interval (2009) (13)
- On the choice of the PS-triangles (2003) (13)
- A density problem for orthogonal rational functions (1999) (13)
- An interpolation algorithm for orthogonal rational functions (2004) (13)
- Uniform Powell--Sabin spline wavelets (2003) (13)
- On the ill conditioning of locating transmission zeros in least squares ARMA filtering (1984) (13)
- A two-phase implementation of the fractional Fourier transform (2011) (13)
- Matrix methods for quadrature formulas on the unit circle. A survey (2015) (12)
- The computation of orthogonal rational functions and their interpolating properties (2005) (12)
- Surface Compression with Hierarchical Powell-Sabin B-splines (2006) (12)
- The computation of non-perfect Padé-Hermite approximants (2005) (12)
- Orthogonal rational functions and interpolatory product rules on the unit circle. I. Recurrence and interpolation (1998) (12)
- Orthogonal Rational Functions and Nested Disks (1997) (12)
- Order parameters from image analysis: a honeycomb example (2008) (12)
- WAILI: a software library for image processing using integer wavelet transforms (1998) (12)
- Orthogonal rational functions and quadrature on the real half line (2003) (12)
- Statistical properties of carbon nanostructures (2013) (11)
- ORTHOGONAL RATIONAL FUNCTIONS AND CONTINUED FRACTIONS (2001) (11)
- Boundary Asymptotics for Orthogonal Rational Functions on the Unit Circle (2000) (11)
- Fourier analysis and the Takenaka-Malmquist basis (2003) (11)
- A Favard theorem for orthogonal rational functions on the unit circle (2005) (11)
- Topological modeling of 1-Pentagon carbon nanocones – topological efficiency and magic sizes (2018) (11)
- Orthogonality and boundary interpolation (1994) (11)
- Stabilized wavelet transforms for nonequispaced data smooting (2001) (11)
- Ratio asymptotics for orthogonal rational functions on an interval (2003) (11)
- A quadrature formula based on Chebyshev rational functions (2006) (11)
- Interpolation by Rational Functions with Nodes on the Unit Circle (1999) (11)
- Operator Theory in Function Spaces : Kehe Zhu (Vol. 139 in Pure and Applied Mathematics, A series of monographs and textbooks) Marcel Dekker, inc., New York - Basel, 1990, ix+258 pages. (1991) (11)
- An introduction to the Fractional Fourier Transform and friends (2004) (11)
- Book Review: 'This Idea Must Die: Scientific Theories That Are Blocking Progress (J. Brockman (ed.))' (2016) (11)
- Robust rational approximation for identification (2001) (11)
- Recursive algorithms for the Padé table : Two approaches (1979) (11)
- Recursive relations for block Hankel and Toeplitz systems part II: Dual recursions (1984) (10)
- Epsilon and QD algorithms for the matrix Padé and 2-D Padé problem (1982) (10)
- On the Adamjan-Arov-Krein approximation, identification and balanced realization of a system (1980) (10)
- Wavelets by orthogonal rational kernels (1998) (10)
- The look-ahead philosophy applied to matrix rational interpolation problems (1994) (10)
- Geometrical Priors for Noisefree Wavelet Coefficients in Image Denoising (1999) (10)
- Cooperative topological accumulation of vacancies in honeycomb lattices (2016) (10)
- Numerically robust frequency domain identification of multivariable systems (2002) (10)
- Linear prediction: mathematics and engineering (1994) (9)
- Real and reciprocal space order parameters for porous arrays from image analysis (2009) (9)
- Orthogonal rational functions with complex poles: The Favard theorem☆ (2009) (9)
- C 1 hierarchical Riesz bases of Lagrange type on Powell-Sabin triangulations (2006) (9)
- Orthogonal rational functions and rational modifications of a measure on the unit circle (2008) (9)
- Dimensionality of hypercube clusters (2015) (9)
- A matrix Euclidean algorithm and matrix Padé approximation (1988) (9)
- On the convergence of multipoint Padé-type approximants and quadrature formulas associated with the unit circle (2005) (9)
- State space representation for arbitrary orthogonal rational functions (2003) (9)
- Frequency domain identification of multivariable systems using vector orthogonal polynomials (2004) (9)
- A weak-star convergence result for orthogonal rational functions (2005) (9)
- Orthogonal rational functions on the unit circle: from the scalar to the matrix case (2006) (8)
- Orthogonal Laurent polynomials and quadrature formulas for unbounded intervals: I. Gauss-type formulas (2003) (8)
- On several aspects of {$J$}-inner functions in Schur analysis (1998) (8)
- Minimal vector Pade´ approximation (1989) (8)
- Digital watermarking of images in the fractional Fourier domain (2007) (8)
- Formal orthogonal polynomials and rational approximation for arbitrary bilinear forms (1991) (8)
- Normal mesh based geometrical image compression (2009) (8)
- A matrix Euclidean algorithm and the matrix minimal Padé approximation problem (1990) (8)
- Rational Gauss-Radau and rational Szegý o-Lobatto quadrature on the interval and the unit circle respectively (2011) (8)
- Adaptive splitting for stabilizing 1-D wavelet decompositions on irregular grids (2006) (8)
- Size, shape, and compositional effects on the order–disorder phase transitions in Au–Cu and Pt–M (M = Fe, Co, and Ni) nanocluster alloys (2018) (8)
- Orthogonal Laurent polynomials and quadrature formulas for unbounded intervals: II. interpolatory rules (2005) (8)
- Determinacy of a rational moment problem (2001) (8)
- The existence and construction of rational Gauss-type quadrature rules (2012) (8)
- Translation of the Russian paper: Orthogonal systems of rational functions on the unit circle, by M.M. Dzrbasian (1997) (8)
- Stability analysis of biorthogonal multiwavelets whose duals are not in L2 and its application to local semiorthogonal lifting (2008) (7)
- The red-black wavelet transform and the lifting scheme (2000) (7)
- Modeling genus zero closed manifolds with spherical Powell{Sabin B-splines (2006) (7)
- Informational thermodynamic model for nanostructures (2014) (7)
- Towards an error analysis of fast Toeplitz factorization (1979) (7)
- A RATIONAL MOMENT PROBLEM ON THE UNIT CIRCLE (1997) (7)
- The computation of orthogonal rational functions on an interval (2005) (7)
- Convergence of Schur parameters and transmission zeros of a meromorphic spectrum (1986) (7)
- Modified Moments and Orthogonal Rational Functions (2004) (7)
- Rational Wavelets on the Real Line (2000) (7)
- An indeterminate rational moment problem and Carathéodory functions (2008) (7)
- A generalized minimal partial realization problem (1997) (7)
- A note on Thielen-fractions (2005) (6)
- Rosenbrock Function Minimization (Remark on Algorithm 450) (1974) (6)
- Compactly supported Powell-Sabin spline multiwavelets in Sobolev spaces (2005) (6)
- Computing orthogonal rational functions analytic outside the unit disc (2000) (6)
- On the computation of symmetric Szeg˝o-type quadrature formulas (2010) (6)
- Numerical quadratures on the unit circle: a survey with some new results (1994) (6)
- Computing orthogonal rational functions on a halfline (2002) (6)
- Convergence of orthogonal rational functions (1995) (6)
- Convergence of modified approximants associated with orthogonal rational functions (1995) (6)
- Using implicitly filtered RKS for generalised eigenvalue problems (1999) (6)
- Erratum to: On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line (2013) (6)
- Computation of Gauss-type quadrature formulas with some preassigned nodes (2010) (6)
- Computing orthogonal rational functions with poles near the boundary (2007) (5)
- Orthogonal rational functions on an interval (2001) (5)
- Orthogonal rational functions on the unit circle: theory, applications and generalizations (1994) (5)
- On the existence of para-orthogonal rational functions on the unit circle (2010) (5)
- Special issue on rational approximations for systems (1982) (5)
- Updating and downdating of orthonormal polynomial vectors and some applications (2001) (5)
- Geometrical Priors for Noisefree Wavelet Coefficient Configurations in Image De-noising (1999) (5)
- A minimal partial realization algorithm for MIMO systems. III: a parametrization of all solutions (1986) (5)
- Quadratures associated with pseudo-orthogonal rational functions on the real half line with poles in [-∞, 0] (2013) (5)
- On the relation between Padé approximation algorithms and Levinson/Schur recursive methods (1980) (5)
- An algebraic method to solve the minimal partial realization problem for matrix sequences (1988) (5)
- Formal orthogonal polynomials and Hankel/Toeplitz duality (2005) (5)
- Favard theorem for reproducing kernels (1995) (5)
- Monotonicity of multi-point Padé approximants (2000) (5)
- Interpolation of Nevanlinna functions by rationals with poles on the real line (1998) (5)
- Image compression using normal mesh techniques (2007) (5)
- SCHUR–NEVANLINNA SEQUENCES OF RATIONAL FUNCTIONS (2007) (5)
- Estimates of the rate of convergence for certain quadrature formulas on the half line (1999) (5)
- Statistical mechanics of two dimensional tilings (2012) (5)
- A look-ahead method for computing vector Padé-Hermite approximants (1995) (5)
- Matrix Rational Interpolation with Poles as Interpolation Points (1994) (4)
- Nested Lanczos: implicitly restarting a Lanczos algorithm (1997) (4)
- Discrete least squares approximation with polynomial vectors (1993) (4)
- Minimal Pade-Sense Matrix Approximations Around s = 0 and s = ∞ (1988) (4)
- Quotient-difference relations in connection with AR filtering (1983) (4)
- A Wavelet Toolbox for Large Scale Image Processing (1999) (4)
- State-space realization and orthogonal rational functions (1999) (4)
- Look-ahead methods for block Hankel systems (1997) (4)
- Wavelet-based image denoising using generalized cross validation (1997) (4)
- Dyadic and /spl radic/3-subdivision for uniform Powell-Sabin splines (2002) (4)
- Rational interpolation: I. Least square convergence☆ (2012) (4)
- Catalytic thermodynamic model for nanocluster adsorbates (2021) (4)
- Positivity of continued fractions associated with rational Stieltjes moment problems (2003) (4)
- Modeling sphere-like manifolds with spherical Powell-Sabin B-splines (2007) (4)
- Coordination-Dependent Kinetics in the Catalysis of Gold Nanoclusters (2021) (4)
- Stabilized lifting steps in noise reduction for nonequispaced samples (2001) (4)
- On the block structure of the Laurent-Padé table (1984) (4)
- Nested Lanczos: implicitly restarting an unsymmetric Lanczos algorithm (2004) (4)
- THE ASYMPTOTIC BEHAVIOR OF TOEPLITZ DETERMINANTS GENERATED BY THE LAURENT COEFFICIENTS OF A MEROMORPHIC FUNCTION (1985) (4)
- Topological indices for nanoclusters (2015) (4)
- Orthogonal rational functions on the unit circle and the real line (1992) (4)
- Orthogonal Rational Functions with real coefficients and semiseparable matrices (2010) (4)
- A Matrix Euclidean Algorithm for minimal partial realization (1989) (4)
- Stable Lifting construction of non-uniform biorthogonal spline wavelets with compact support (2005) (3)
- Normal offsets for digital image compression (2005) (3)
- Applications of Pade approximants and continued fractions in systems theory (1984) (3)
- Fast algorithms for the factorization of Hankel and Toeplitz matrices and the Padé approximation problem (1978) (3)
- Kinetic Monte Carlo approach to Schottky defects in noble metal nanoclusters (2016) (3)
- Growth properties of Nevanlinna matrices for rational moment problems (2010) (3)
- Digital normal meshes in image compression (2006) (3)
- Convergence acceleration for the numerical solution of second-order linear recurrence relations (1990) (3)
- A note on two convergence acceleration methods for ordinary continued fractions (1988) (3)
- Natural solutions of rational Stieltjes moment problems (2011) (3)
- Zeros of a rational function defined by its Laurent expansion (1984) (3)
- Orthogonal rational functions, associated rational functions and functions of the second kind (2008) (3)
- Euclid, Padé and Lanczos, another golden braid (1993) (3)
- Ratio Asymptotics for Orthogonal Rational Functions on the Interval [ − 1 , 1 ] (2001) (3)
- Stability of numerical methods for computing Padé approximants (1980) (3)
- Matrix Padé-approximation - recursive computations (1992) (3)
- The structure of the minimal Padé approximation table (1988) (3)
- Formal orthogonal polynomials for an arbitrary moment matrix and Lanczos type methods (1994) (3)
- Geometrical priors in a Bayesian approach to improve wavelet threshold procedures (1999) (3)
- Orthogonal rational functions and modified approximants (2005) (3)
- Subdivision for Powell-Sabin spline surfaces (2002) (3)
- BPX-TYPE PRECONDITIONERS FOR 2ND AND 4TH ORDER ELLIPTIC PROBLEMS ON THE SPHERE (3)
- Rational interpolation and quadrature on the interval and on the unit circle (2010) (3)
- Elements of a theory of orthogonal rational functions (1999) (3)
- Smooth spline wavelets on the sphere (2007) (3)
- Implicitly restarting Lanczos (1998) (2)
- Rational interpolation: II. Quadrature and convergence (2013) (2)
- Low displacement rank problems in 2-D Padé approximation (1982) (2)
- Wavelet tresholding using generalized cross validation (1997) (2)
- Preprocessing for the decomposition of images with normal offsets (2006) (2)
- Remark on “a new look at the Padé table and different methods for computing its elements” [2] (1979) (2)
- Triangular decomposition of Toeplitz and related matrices: a guided tour in the algorithmic aspects (1985) (2)
- Orthogonal rational functions on the unit circle with prescribed poles not on the unit circle (2016) (2)
- Associated rational functions based on a three-term recurrence relation for orthogonal rational functions 1 (2008) (2)
- A note on the relation between two convergence acceleration methods for ordinary continued fractions (1999) (2)
- Orthogonal rational functions on the unit circle (2004) (2)
- On the convergence of Schur parameters for a Toeplitz matrix with a meromorphic symbol (1986) (2)
- A Favard theorem for rational functions with complex poles (2008) (2)
- Duality in vector Pade´-Hermite approximation problems (1996) (2)
- First-Order Linear Recurrence Systems and General N-Fractions (1994) (2)
- General Toeplitz matrices and the Takenaka-Malmquist basis (2003) (2)
- Separation of zeros of para-orthogonal rational functions (2004) (2)
- A moment problem associated to rational Szegő functions (2005) (2)
- Some applications of the Euclidean algorithm (1994) (2)
- The mathematics of ranking (2008) (1)
- Catalytic Thermodynamics of Nanocluster Adsorbates from Informational Statistical Mechanics (2018) (1)
- A minimal partial realization algorithm for MIMO systems. IV: a matrix Euclidean algorithm (1987) (1)
- A minimal partial realization algorithm for MIMO systems. II: a matrix continued fraction (1987) (1)
- Restrictions on implicit filtering techniques for orthogonal projection methods (1999) (1)
- Orthogonal Rational Functions: Favard theorems (1999) (1)
- Powell--Sabin spline based multilevel preconditioners for the biharmonic equation (2010) (1)
- Magic Mathematical Relationships for Nanoclusters—Errata and Addendum (2019) (1)
- Book review 'Numerical methods for roots of polynomials, Part I (J.M. McNamee)' (2009) (1)
- Piecewise smooth image compression using normal displacement maps (2007) (1)
- Determination of poles (1987) (1)
- Book review ' Stefan Banach: remarkable life, brilliant mathematics (E. Jakimowicz and A. Miranowicz eds.)' (2012) (1)
- The problem of matrix Padé approximation (1988) (1)
- Easy construction of non-uniform biorthogonal spline wavelets with compact support (2005) (1)
- Correction to "Robust D-Stability for Linear Uncertain Discrete Time-Delay Systems" (2003) (1)
- Zeros of quasi-paraorthogonal polynomials and positive quadrature (2021) (1)
- Orthogonal Rational Functions: The kernel functions (1999) (1)
- Book review: 'Puzzles 101, A puzzlemaster's challenge (N. Yoshigahara)' and 'Mathematical puzzles, A connoisseur's collection (P. Winkler)' (2004) (1)
- Triadic Subdivision of Non Uniform Powell‐Sabin Splines (2005) (1)
- On the construction of a rational Fejér rule (2005) (1)
- On the optimal location of transmission zeros in least squares ARMA filtering (1980) (1)
- Curvature plots of Powell--Sabin spline surfaces (2003) (1)
- The implicit application of a rational lter in the RKS methodGorik (2010) (1)
- A Genetic Approach to Detect Boundaries for Meshless Parameterization and Surface Reconstruction (2004) (1)
- Smooting irregularly sampled signals using wavelets and cross validation (1999) (1)
- An algebraic method to solve the minimal partial realization problem for scalar sequences (1988) (1)
- Foreword to the proceedings of the OrthoQuad 2014 conference (2015) (1)
- Look-ahead schemes for block Toeplitz systems and formal orthogonal matrix polynomials (1997) (1)
- Power law statistics of rippled graphene nanoflakes (2013) (1)
- On the relation between iterated function systems and partitioned iterated function systems (1996) (1)
- A Nonlinear Contour Preserving Transform for Geometrical Image Compression (2007) (1)
- A minimal partial realization algorithm for data with relative errors (1988) (1)
- A minimal partial realization algorithm for MIMO systems.VII. An Ada program (1988) (1)
- Powell-Sabin spline based multilevel preconditioners for 4th order elliptic equations on the sphere (2006) (1)
- Rational Krylov and orthogonal rational functions (2008) (1)
- Bernstein equiconvergence and Fejér-type theorems for general rational Fourier series (2001) (1)
- Remark on algorithm 450[E4]:Rosenbrock function minimization (1974) (1)
- Numerical analysis turns sixty: birthday celebration held at K.U.Leuven (2008) (0)
- Book review: 'The mathematics of Oz. Mental gymnastics from beyond the edge (C.A. Pickover)' (2004) (0)
- WAILI : Wavelets with Integer LiftingGeert (1997) (0)
- Book review 'The Simpsons and Their Mathematical Secrets (Simon Singh)' (2014) (0)
- Orthogonal Rational Functions: Para-orthogonality and quadrature (1999) (0)
- Book Reviews: 'Love and Math (E. Frenkel); The Mathematics of Love (H. Fry)' (2016) (0)
- Book review: 'Piano-hinged dissections: Time to fold (G.N. Frederickson)' (2007) (0)
- Google's eigenvector: the secret of PageRank (2007) (0)
- Numerically robust frequency domqin identification of systems (2002) (0)
- Moment-based algorithms for computing orthogonal rational functions (2004) (0)
- Normal multilevel triangulations for geometric image compression (2008) (0)
- Some notes about signals, orthogonal polynomials and linear algebra (1992) (0)
- Measuring order and the Debye-Waller factor for porous arrays (2007) (0)
- Book reviewIdentifiability, recursive identification and spaces of linear dynamical systems (2 volumes): B. Hanzon CWI Tracts 63 and 64, Centre for Mathematics and Computer Science, Stichting Mathematisch Centrum, Amsterdam, 1989, 413 pages (1991) (0)
- Book review 'In the dark. On the sunny side (Larry Garrett)' (2014) (0)
- Structural physics of bee honeycomb (2008) (0)
- Alan Turing, Google's Doodle, and the Diamond Age (2012) (0)
- Book review 'Chain-scattering approach to H^∞-control: Hidenori Kimura' (1996) (0)
- Holomorphic functions associated with indeterminate rational moment problems (2015) (0)
- Book review 'Brilliant Blunders (M. Livio)' (2014) (0)
- Determinant expressions and matrix interpretations (1987) (0)
- Book review: 'The curious incident of the dog in the nighttime (M. Haddon)' (2004) (0)
- Recent developments in the theory of fractional transforms (2003) (0)
- A new method for rational approximation and implementation on the IBM3090 supercomputer (1990) (0)
- Rational bases for system identication (2001) (0)
- Mathematical Methods in Cluster Science (2015) (0)
- Book review: 'The Measure of the World (D. Guedj)' (2004) (0)
- Book review 'Visions of infinity (I. Stewart)' (2015) (0)
- On Gausstype Gausstype Gausstype quadrature formulas with prescribed nodes anywhere on the real line (2008) (0)
- Book review: 'Pythagorean crimes (T. Michaelides)' (2010) (0)
- The convergence of zero sequences in the indeterminate rational Stieltjes moment problem (2010) (0)
- All kinds of Padé Approximants (1987) (0)
- Two-point Padé approximation to Herglotz-Riesz transforms (2022) (0)
- Modeling finite nano systems (2013) (0)
- Pop music goes 'mathematics' (2006) (0)
- A convergent finite element method with adaptive √3 refinement (2009) (0)
- Orthogonal Rational Functions: Preliminaries (1999) (0)
- Book review: 'Leaning towards infinity: how my mother's apron unfolds into my life (S. Woolfe)' (2003) (0)
- Matrix and operator valued functions (1996) (0)
- Book review: From `summetria' to symmetry: The making of a revolutionary scientific concept (G. Hon and B.R. Goldstein) (2009) (0)
- Block orthogonal systems for symmetric P -forms (1993) (0)
- More tales about tails (2000) (0)
- The computation of rational Szegő quadrature formulas (2008) (0)
- The Leonard Euler Tercentenary 2007 (2007) (0)
- Book review 'Voltaire's Riddle. Micromégas and the measure of all things' by A.J. Simoson (2011) (0)
- Book review 'Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics & Slicing Pizzas, Racing Turtles, and Further Adventures in Applied Mathematics (Robert B. Banks) ' (2013) (0)
- Pablo González-Vera, a quadrature of his work (2014) (0)
- Review 'M.C. Escher's legacy, a centenial celebration (with DVD) (D. Schattschneider, M. Emmer (eds.))' and 'The Fantastic World of M.C. Escher (M. Emmer), Video tape' (2006) (0)
- Book review: Pythagoras’ revenge by Arturo Sangalli (2010) (0)
- Identification in the frequency domain (2008) (0)
- Polyhedral Effects on the Mass Activity of Platinum Nanoclusters (2020) (0)
- Bases for C¹ quadratic splines on Powell-Sabin triangle splits (2003) (0)
- Fast Approximation and Fair Interpolation of Scattered Data with Normalized Powell – Sabin B-splines (0)
- A minimal partial realization algorithm for MIMO systems. V: A canonical matrix continued fraction (1988) (0)
- Mathematics and genomics (2005) (0)
- Quadrature rules based on rational interpolation (2012) (0)
- K. B. Datta and B. M. Mohan,Orthogonal Functions in Systems and Control (1996) (0)
- Book Review: 'Magnificent Mistakes in Mathematics (A. Posamentier and I. Lehmann)' (2015) (0)
- Solution of a multiple Nevanlinna–Pick problem for Schur functions via orthogonal rational functions (2008) (0)
- On orthogonal polynomials related to arithmetic and harmonic sequences (2018) (0)
- Rational Approximation in Systems Engineering (1983) (0)
- Geometric image approximation (2010) (0)
- Orthogonal Rational Functions: Some applications (1999) (0)
- Book Review: 'Reflections (R. Smullyan)' (2017) (0)
- Book review 'The intrinsic nature of things (B. Gellai)' (2011) (0)
- Applying integer wavelet transforms (1996) (0)
- MATMAN: An interactive environment for using and testing linear algebra software (1994) (0)
- Book review: 'Newton and the origin of civilization (J.Z. Buchwald & M. Feingold)' (2013) (0)
- The Belgian Mathematical Society (2011) (0)
- Applications of orthogonal rational functions (2007) (0)
- Review: 'Art and Math exhibit, Paris 2005' (2005) (0)
- Orthogonal bases in system identification (2002) (0)
- Digitale filter : Hamming R.W. Informationstechnologie VCH Verlagsgesellschaft, Weinheim, F.R. Germany, 1987, 275 pp., Price : DM 64, ISBN 3-527-26463-9 (1988) (0)
- Moebius transforms, continued fractions and Padé approximants (1987) (0)
- Time-varying discrete linear systems (1996) (0)
- Book review: 'Flexagons inside out (L. Pook)' (2004) (0)
- General block bi-orthogonal polynomials (1997) (0)
- Book review: 'Dissections: Plane & fancy (G.N. Frederickson)' and 'Hinged dissections: Swinging & twisting (G.N. Frederickson)' (2003) (0)
- Book review 'An abundance of Katherines (J. Green)' (2015) (0)
- Book review: 'The adventure of numbers (G. Godefroy)' (2013) (0)
- Meromorphic functions and asymptotic behaviour (1987) (0)
- Properties of interpolatory quadrature with equidistant nodes on the unit circle (2018) (0)
- Order Parameters for Two-Dimensional Networks (2007) (0)
- Biorthogonal polynomials, quadrature and reproducing kernels (1987) (0)
- Why is there no simple analogon of Szegő polynomials on the unit circle for orthogonal polynomials on Julia sets (1991) (0)
- Book review 'Mathematics and culture II: Visual Perfection: Mathematics And Creativity (M. Emmer)' (2006) (0)
- Vector orthogonal polynomials and discrete least squares approximation with polynomial tuples (1993) (0)
- Powell-Sabin spline prewavelets on the hexagonal lattice (2006) (0)
- Orthogonal Rational Functions: Interpolation (1999) (0)
- Magical Mathematical Formulas for Nanoboxes (2021) (0)
- Book review 'What's happening in the mathematical sciences, vol. 8 (D. Mackenzie)' (2012) (0)
- Book Review: 'The Wild Numbers (P. Schogt)' (2017) (0)
- Book review 'Figuring it out - Entertaining encounters with everyday math (N. Crato)' (2014) (0)
- Numerical quadrature and orthogonal rational functions (2012) (0)
- Progress report: Scientific presentation of subgroup 1 (2004) (0)
- Montessus de Ballore theorem for Laurent-Padé approximants (1987) (0)
- Orthogonality Measures and Applications in Systems Theory in One and More Variables (2009) (0)
- Book review 'A Friendly Approach To Functional Analysis (A. Sasane)' (2018) (0)
- Book review 'Our mathematical universe (M. Tegmark)' (2014) (0)
- Book Reviews: 'Enlightening Symbols (J. Mazur); The Nothing That Is (R. Kaplan); Finding Zero (A.D. Aczel)' (2016) (0)
- Book review 'Undeluted Hocus-Pocus (M. Gardner)' (2014) (0)
- Book review: `Magic is no magic' The wonderful world of Simon Stevin (J.T. Devreese and G. Vanden Berghe) (2008) (0)
- Ph. Th. STOL, “Nonlinear parameter optimization”: H. Veenman en Zonen B.V., Centre for Agricultural Publishing and Documentation, Wageningen 1975, 24 cm × 17 cm, 197 pages (1976) (0)
- Orthogonal rational functions: a survey (1998) (0)
- A numerical implementation of the algorithm of Kung and Lin for AAK model reduction (1986) (0)
- Books ans Film Review: 'Traveling to infinity: my life with Stephen (Jane Hawking); The theory of everything (James Marsh); My brief history (Stephen Hawking)' (2016) (0)
- Book Reviews: “The Raven’s Hat” by Jonas Peters and Nicolai Meinshausen & “Games for Your Mind” by Jason Rosenhouse (2021) (0)
- Invariant finite Borel measures for rational functions on the Riemann sphere (1994) (0)
- Powell-Sabin splines on the sphere with applications in CAGD (2006) (0)
- Book Reviews: 'Alex's adventures in numberland \& Alex through the looking glass (A. Bellos)' (2017) (0)
- Normal mesh techniques for contour approximation (2006) (0)
- Erratum to: On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line (2013) (0)
- Rational Szegő quadrature and rational analogs of orthogonal Laurent polynomial (2015) (0)
- Orthogonal Rational Functions: Bibliography (1999) (0)
- Book review 'Imagine Math, Between culture and mathematics' (M. Emmer (ed.)) (2013) (0)
- Wim Sweldens honorary professor (2016) (0)
- Convergence in a row of the Laurent-Padé table (1987) (0)
- Numerical experiments for approximation of linear systems using the method of AAK (1986) (0)
- Review of 'Famous puzzles of great mathematicians' by M.S. Petcović (2011) (0)
- Book Review: 'Coffee, love and matrix algebra (G.E. Davis)' (2015) (0)
- Editorial In Memoriam Luc Wuytack (2022) (0)
- Subdivide and conquer resolution (2006) (0)
- Book review 'Wizards, Aliens, and Starships (C.L. Adler)' (2015) (0)
- Orthogonal Rational Functions: Convergence (1999) (0)
- Powell-Sabin splines for geometric modelling (2006) (0)
- Book reviews: 'Leonhard Euler (E.A. Fellman)' and 'Leonhard Euler, A man to be reckoned with (A. Heyne and A.K. Heyne)' (2007) (0)
- Orthogonal Rational Functions: Recurrence and second kind functions (1999) (0)
- Book review 'What's happening in the mathematical sciences, vol. 7' (D. Mackenzie) (2010) (0)
- Book review: 'De stelling van de papegaai (D. Guedj)' (2002) (0)
- Topological effects in 1-pentagon carbon nanocones: migrating faces and magic sizes (2017) (0)
- Linear algebra aspects of the Christoffel transform for orthogonal polynomials on the unit circle (2010) (0)
- Orthogonal Rational Functions: Introduction (1999) (0)
- Overview of Powell-Sabin splines (2002) (0)
- Frequency domain identification : The taming of the condition number (2001) (0)
- Book review 'The algebraist (I.M. Banks)' (2008) (0)
- Calculations and visualization of orthogonal rational functions (1999) (0)
- Modification of generalized continued fractions associated with recurrence relations of Perron-Kreuser type (1986) (0)
- Rational approximation and matrix orthogonal polynomials (1998) (0)
- Oeuvres complètes; collected papers, volumes 1 & 2 T.J. Stieltjes : G. van Dijk (ed.), Springer Verlag, 1993, 566 + 766 pages, Price: DM 348 (HC), ISBN 3-540-55560-9. (1994) (0)
- Book review 'Numerical methods for special functions (A. Gil, J. Segura, N.M. Temme)' (2010) (0)
- Properties of interpolatory quadrature with equidistant nodes on the unit circle (2017) (0)
- Jacobi matrices and quadrature rules on the unit circle and the real line (2010) (0)
- Fourier analysis and Toeplitz matrices for the Takanaka-Malmquist basis (2004) (0)
- Rational Gauss-type quadrature formulas with a prescribed node anywhere on the real line (2010) (0)
- Bernstein equiconvergence and Fej ertype theorems for general rationalFourier seriesPatrick (2010) (0)
- ORTHOGONALRATIONAL FUNCTIONS ANDCONTINUED FRACTIONS (0)
- First-order linear recurrence systems and matrix continued fractions (1995) (0)
- Book review: 'The French mathematician (T. Petsinis)' (2002) (0)
- Book Review: 'A mathematician's shiva (S. Rojstaczer)' (2016) (0)
- Book Reviews: ' The Proof is in the Pudding (S. Krantz), A Mathematical Oddysey (S. Krantz & H. Parks)' (2015) (0)
- Rational basis functions in discrete least squares approximation on the unit circle (2001) (0)
- Book review ' The housekeeper and the professor (Y. Ogawa)' (2012) (0)
- Book review 'Flatland by E.A. Abbott, an edition with notes and commentary (W.F. Lindgren & T.F. Banchoff eds.)' (2011) (0)
- Integer Wavelet Transformsusing theLiftin g Scheme (1999) (0)
- Book review 'Pythagoras' revenge (A. Sangalli)' (2010) (0)
- Raymond Smullyan (1919 - 2017). Mathematician, Writer, Magician, Philosopher, Pianist (2017) (0)
- Book review 'Journey through Mathematics. Creative episodes in its history (E.A. González-Velasco)' (2013) (0)
- Book review 'Apocalyps when? Calculating how long the human race will survive (W. Wells)' (2011) (0)
- Book review: 'The structure of paintings (M. Leyton)' (2007) (0)
- Schur-Nevanlinna-Potapov sequences of rational matrix functions (2010) (0)
- The positive definite case and applications (1987) (0)
- Book and film reviews 'Alan Turing: the enigma (A. Hodges); The imitation game/ Enigma/ U-571 (3 films); The code book (Simon Singh)' (2015) (0)
- Recursive methods for non normal Padé tables (1978) (0)
- Book review 'Fourier transforms: an introduction for engineers: R.M. Gray and J.W. Goodman' (1996) (0)
- Order parameter for images of structured arrays (2016) (0)
- Zestig jaar numerieke wiskunde (2008) (0)
- Wavelets by Orthogonal Rational Kernels Wavelets by Orthogonal Rational Kernels Wavelets by Orthogonal Rational Kernels (2010) (0)
- Rational Gauss quadrature (2013) (0)
- ROLLS symposium - Preface (1997) (0)
- Identifiability, recursive identification and spaces of linear dynamical systems (2 volumes) (1991) (0)
- Orthogonal Rational Functions: Moment problems (1999) (0)
- Look-ahead methods for block Hankel systems 1 (2003) (0)
- Book review 'Riot at the calc exam and other mathematically bent stories' (C. Adams) (2010) (0)
- Book Review: 'Genius at Play: The Curious Mind of John Horton Conway (S. Roberts)' (2017) (0)
- A minimal partial realization algorithm for MIMO systems. VI. The time moment and mixed problemsrevisited (1988) (0)
- Orthogonal Rational Functions: Density of the rational functions (1999) (0)
- Book Review: 'The goddess of small victories (Y. Grannec)' (2016) (0)
- New results for 2D tilings: Wiener index & statistical mechanics of graphs (2010) (0)
- Normal Mesh Techniques For Image Contour Approximation (2007) (0)
- On the relation between iteratedfunction systems and partitionediterated function systemsDieter (1996) (0)
- Book review: 'Galileo Galilei - When the world stood still (A. Næss) (2005) (0)
- Book Review: 'The Classic Feynman: All the Adventures of a Curious Character (R. Feynman, R. Leighton)' (2017) (0)
- The para-meter of para-orthogonality (2013) (0)
- Book review 'Manifold Mirrors (Felipe Cucker)' (2014) (0)
- Book reviews: 'Mathematics and culture (M. Emmer (ed.))' and 'Mathematics, art, technology and cinema (M. Emmer, M. Manaresi (ed.))' (2004) (0)
- Notes on logic and set theory : P.T. Johnstone, Cambridge University press, Cambridge, 1987, pp., Price : $ 34.5 H/b (ISBN : 0-521-33502-7), $ 12.95 P/b (ISBN : 0-521-33692-9) (1988) (0)
- On the stability of Powell-Sabin wavelets (2004) (0)
- Book review 'Mathematical card magic: Fifty-two new effects (Colm Mulcahy)' (2014) (0)
- Orthogonal Rational Functions: Conclusion (1999) (0)
- Book review: 'The Indian clerk (D. Leavitt)' (2009) (0)
- Modelling special effects with the tangent scheme (2004) (0)
- Smoothing non-equidistantly sampled data using wavelets and cross validation (1998) (0)
- Book Review: 'Our mathematical universe. My quest for the ultimate nature of reality (M. Tegmark)' (2014) (0)
- Book reviews 'Mathematical wizardry for a Gardner (E. Pegg Jr., A.H. Schoen, T. Rodgers (eds.)), A lifetime of puzzles (E.D. Demaine, M.L. Demain, T. Rodgers (eds.)),The Mathematician and the Pied Puzzler (E.R. Berlekamp and T. Rodgers (eds.))' (2014) (0)
- Book and film review 'Hidden Figures (M.L. Shetterley)' (2018) (0)
- Book review 'Anathem (N. Stephenson), Iolet (D. Stutz), The Long Now Foundation, Quantum Physics, Philosophy, and more' (2012) (0)
- The convergence of Fourier-Takenaka-Malmquist series (2003) (0)
- Book review 'Numerical linear algebra L. Reichel, A. Ruttan, R.S. Varga (Eds.)' (1994) (0)
- Hierarchical domain partitioning for image compression based on normal offsets (2006) (0)
- Book review 'Advance topics in difference equations : R.P. Agarwal and P.J.Y. Wong' (1998) (0)
- Quadrature on the positive real line with quasi and pseudo orthogonal rational functions (2011) (0)
- Book review: 'Tribute to a mathemagician (B. Cipra et al)' (2005) (0)
- Book reviews 'Five-minute mathematics (E. Behrends)' and 'A mathematical medley, fifty easy pieces of mathematics (G.F. Szpiro)' (2011) (0)
- Book review: “The Polyhedrists” by Noam Andrews (2022) (0)
- On the JWKB expansion and Borel summability , with particular attention to modifications of the radial Schrödinger equation (2009) (0)
- Orthogonal Rational Functions: The boundary case (1999) (0)
- Book review 'Calculating catastrophe (G. Woo)' (2013) (0)
- Rational approximations of exp(x) for the calculation of rightmost eigenvalues (1995) (0)
- Book review: “The Story of Proof” by John Stillwell (2023) (0)
- Akram Aldroubi and Michael Unser, Eds.Wavelets in Medicine and biology (1997) (0)
- Some comments on the inexact partial realization problem (1986) (0)
- Book review 'Approximation, optimization and computing (theory and applications) A.G. Law and C.L. Wang (eds.)' (1990) (0)
- Book Reviews: 'Prime numbers and the Riemann hypothesis (B. Mazur, W. Stein), The Riemann Hypothesis. A Million Dollar Problem (R. vander Veen, J. van de Craats), Trolling Euclid (T.Wright)' (2017) (0)
- Book review 'Schur parameters, factorization and dilation problems: T. Constantinescu ' (1996) (0)
- Inequalities in Hilbert modules of operator valued functions, a tool for least squares ARMA filtering (1981) (0)
- Book Review: 'From Servant to Queen: A Journey through Victorian Mathematics (J. Heard)' (2019) (0)
- Representation of the unitary shift operator in factored form w.r.t. an orthogonal rational basis (2016) (0)
- Book Review: 'One hundred and Twenty One Days (M. Audin)' (2017) (0)
- Determination of zeros (1987) (0)
- Book review 'Matrix and operator valued functions : I. Gohberg and L.A. Sakhnovich (eds.)' (1996) (0)
- Book review 'A mathematician's apology (G.H. Hardy)' (2013) (0)
- Nonselfadjoint operator and related topics (1996) (0)
- Orthogonal Rational Functions: The fundamental spaces (1999) (0)
- Quasi and pseudo orthogonal rational functions for quadrature on the positive real line (2011) (0)
- Book reviews 'Henri Poincaré, impatient genius (F. Verhulst)' and 'Alan M. Turing, centenary edition (S. Turing)' (2012) (0)
- Book review 'Goldman's theorem (R.J. Stern)' (2009) (0)
- Book review 'Mathematics everywhere' edited by M. Aigner and E. Behrends (2011) (0)
- Filtering and restarting orthogonal projection methods (1996) (0)
- Book review 'Famous puzzles of great mathematicians (M.S. Petcović)' (2010) (0)
- Book review 'Cryptonomicon (Neal Stephenson)' (2016) (0)
- An algorithm for minimal partial realization with inaccurate data (1986) (0)
- Positive rational interpolatory quadrature rules on the interval and the complex unit circle with preassigned nodes (2010) (0)
- Topology of 1-pentagon carbon nanocones-Topological efficiency and magic sizes (2018) (0)
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