Adhemar Bultheel

Adhemar Bultheel's AcademicInfluence.com Rankings

Adhemar Bultheel

Computer Science

#7738

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#8143

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Numerical Analysis

#46

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#49

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#6261

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computer-science Degrees

Adhemar Bultheel

Mathematics

#6209

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#8643

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Applied Mathematics

#323

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#350

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Measure Theory

#2043

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#2476

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mathematics Degrees

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Why Is Adhemar Bultheel Influential?

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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.

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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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