Edit Profile (opens in new tab) Bultheel, Adhemar François Co-Author Distance Author ID: bultheel.adhemar Published as: Bultheel, Adhemar; Bultheel, A. Homepage: https://people.cs.kuleuven.be/~adhemar.bultheel/ External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · IdRef Documents Indexed: 232 Publications since 1979, including 4 Books 7 Contributions as Editor Reviewing Activity: 722 Reviews Biographic References: 1 Publication Co-Authors: 55 Co-Authors with 198 Joint Publications 1,366 Co-Co-Authors all top 5 Co-Authors 40 single-authored 64 González-Vera, Pablo 51 Njåstad, Olav 50 Hendriksen, Erik 35 Van Barel, Marc 15 Van Deun, Joris 14 Deckers, Karl 13 Maes, Jan 9 Díaz-Mendoza, Carlos 8 Cruz-Barroso, Ruymán 8 Jansen, Maarten 8 Orive Rodríguez, Ramón Angel 7 Vanraes, Evelyne 6 Levrie, Paul 6 Van Gucht, Patrick 5 De Samblanx, Gorik 5 Kaatz, Forrest H. 5 Lasarow, Andreas 3 Daruis, Leyla 3 Dewilde, Patrick M. 3 Dierckx, Paul 3 Perdomo-Pío, Francisco 3 Xu, Guoliang 2 Cantero, María José 2 Cuyt, Annie A. M. 2 Martínez Sulbaran, Héctor E. 2 Van Aerschot, Ward 2 Van Assche, Walter 2 van Melkebeek, Dieter 2 Verdonk, Brigitte M. 2 Windmolders, Joris 1 Bastin, Françoise 1 Beckermann, Bernhard 1 Caenepeel, Stefaan 1 Carrette, P. 1 Cools, Ronald 1 De Moor, Bart L. R. 1 Dumortier, Freddy 1 Gonzáles-Vera, Pablo 1 Kuijlaars, Arno B. J. 1 Kunoth, Angela 1 Labahn, George 1 López Lagomasino, Guillermo Tomás 1 Malfait, Maurits 1 Marcellán Español, Francisco 1 Meerbergen, Karl 1 Müller, Karsten 1 Ori, Ottorino 1 Petković, Miodrag S. 1 Pintelon, Rik 1 Rolain, Yves 1 Romani, Lucia 1 Roose, Dirk 1 Santos-León, Juan-Carlos 1 Uytterhoeven, Geert 1 Wuytack, Luc all top 5 Serials 52 Journal of Computational and Applied Mathematics 16 Bulletin of the Belgian Mathematical Society - Simon Stevin 14 Numerical Algorithms 6 Journal of Mathematical Analysis and Applications 6 Linear Algebra and its Applications 5 Mathematics of Computation 5 Journal of Approximation Theory 5 Applied Numerical Mathematics 5 Journal of Mathematical Chemistry 5 Analysis (München) 4 IMA Journal of Numerical Analysis 4 European Mathematical Society Magazine 3 Numerische Mathematik 3 Signal Processing 3 ETNA. Electronic Transactions on Numerical Analysis 3 European Mathematical Society Newsletter 2 Rocky Mountain Journal of Mathematics 2 Applied Mathematics and Computation 2 Calcolo 2 IEEE Transactions on Automatic Control 2 SIAM Journal on Numerical Analysis 2 Acta Applicandae Mathematicae 2 Computer Aided Geometric Design 2 Revista de la Academia Canaria de Ciencias 2 International Journal of Wavelets, Multiresolution and Information Processing 2 Cambridge Monographs on Applied and Computational Mathematics 2 Jaen Journal on Approximation 1 Computers & Mathematics with Applications 1 BIT 1 Journal of the American Statistical Association 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Bulletin de la Société Matheḿatique de Belgique. Série B 1 Systems & Control Letters 1 SIAM Journal on Algebraic and Discrete Methods 1 Journal of Computational Mathematics 1 Journal of Complexity 1 Constructive Approximation 1 SIAM Journal on Matrix Analysis and Applications 1 IEEE Transactions on Signal Processing 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 Bulletin de la Société Mathématique de Belgique. Série A 1 Advances in Engineering Software 1 Applied and Computational Harmonic Analysis 1 Methods and Applications of Analysis 1 East Journal on Approximations 1 IEEE Transactions on Image Processing 1 ANACM. Applied Numerical Analysis and Computational Mathematics 1 Cubo 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Studies in Computational Mathematics 1 IAENG. International Journal of Applied Mathematics 1 Operator Theory: Advances and Applications all top 5 Fields 111 Numerical analysis (65-XX) 107 Approximations and expansions (41-XX) 80 Harmonic analysis on Euclidean spaces (42-XX) 58 Functions of a complex variable (30-XX) 24 General and overarching topics; collections (00-XX) 21 Special functions (33-XX) 20 Systems theory; control (93-XX) 14 History and biography (01-XX) 9 Information and communication theory, circuits (94-XX) 8 Integral transforms, operational calculus (44-XX) 8 Operator theory (47-XX) 8 Statistics (62-XX) 7 Sequences, series, summability (40-XX) 7 Computer science (68-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 4 Mathematical logic and foundations (03-XX) 4 Number theory (11-XX) 4 Partial differential equations (35-XX) 4 Functional analysis (46-XX) 3 Probability theory and stochastic processes (60-XX) 3 Biology and other natural sciences (92-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Geometry (51-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 191 Publications have been cited 1,439 times in 617 Documents Cited by ▼ Year ▼ Orthogonal rational functions and tridiagonal matrices. Zbl 1014.42017 Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. 74 2003 Orthogonal rational functions. Zbl 0923.42017 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 64 1999 Recent developments in the theory of the fractional Fourier and linear canonical transforms. Zbl 1143.42004 Bultheel, A.; Martínez-Sulbaran, H. 33 2006 A general module theoretic framework for vector M-Padé and matrix rational interpolation. Zbl 0780.41014 Van Barel, M.; Bultheel, A. 33 1992 Linear algebra, rational approximation and orthogonal polynomials. Zbl 0890.65024 Bultheel, Adhemar; Van Barel, Marc 27 1997 The computation of orthogonal rational functions and their interpolating properties. Zbl 0758.65009 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 26 1992 Laurent series and their Padé approximations. Zbl 0624.30005 Bultheel, Adhemar 25 1987 Quadrature on the half-line and two-point Padé approximants to Stieltjes functions. I. Algebraic aspects. Zbl 0847.41015 Bultheel, A.; González-Vera, P.; Orive, R. 23 1995 A connection between quadrature formulas on the unit circle and the interval \([-1,1]\). Zbl 0985.41021 Bultheel, Adhemar; Daruis, Leyla; González-Vera, Pablo 23 2001 Quadrature on the half-line and two-point Padé approximants to Stieltjes functions. II: Convergence. Zbl 0865.41017 Bultheel, A.; Díaz-Mendoza, C.; González-Vera, P.; Orive, R. 23 1997 On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line. Zbl 1186.65029 Bultheel, Adhemar; Cruz-Barroso, Ruymán; Van Barel, Marc 19 2010 Orthogonal rational functions and quadrature on the unit circle. Zbl 0786.42011 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 19 1992 Moment problems and orthogonal functions. Zbl 0795.33003 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 19 1993 Quadrature on the half line and two-point Padé approximants to Stieltjes functions. III: The unbounded case. Zbl 0891.41011 Bultheel, A.; Díaz-Mendoza, C.; González-Vera, P.; Orive, R. 18 1997 A new approach to the rational interpolation problem. Zbl 0715.41018 Van Barel, Marc; Bultheel, Adhemar 18 1990 On computing rational Gauss-Chebyshev quadrature formulas. Zbl 1077.42018 Van Deun, Joris; Bultheel, Adhemar; González Vera, Pablo 17 2006 A new approach to the rational interpolation problem: The vector case. Zbl 0729.41005 Van Barel, Marc; Bultheel, Adhemar 17 1990 Recurrence relations for orthogonal functions. Zbl 0813.30007 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 17 1994 Orthogonal rational functions with poles on the unit circle. Zbl 0796.33003 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 16 1994 Orthogonal rational functions and quadrature on an interval. Zbl 1016.41015 Van Deun, J.; Bultheel, A. 16 2003 An extended relation between orthogonal rational functions on the unit circle and the interval \([ - 1,1]\). Zbl 1117.30030 Deckers, Karl; Van Deun, Joris; Bultheel, Adhemar 15 2007 Rational Gauss-Chebyshev quadrature formulas for complex poles outside \([-1,1]\). Zbl 1136.42304 Deckers, Karl; Van Deun, Joris; Bultheel, Adhemar 15 2008 Orthogonal rational functions and interpolatory product rules on the unit circle. III: Convergence of general sequences. Zbl 0979.41019 Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. 15 2000 Orthogonal functions related to the Nevanlinna-Pick problem. Zbl 0503.42020 Bultheel, A.; Dewilde, Patrick 14 1979 On the convergence of certain Gauss-type quadrature formulas for unbounded intervals. Zbl 0941.41015 Bultheel, A.; Díaz-Mendoza, C.; González-Vera, P.; Orive, R. 14 2000 Orthogonality and quadrature on the unit circle. Zbl 0830.30022 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 14 1991 Automatic construction of control triangles for subdivided Powell — Sabin splines. Zbl 1069.41508 Vanraes, Evelyne; Windmolders, Joris; Bultheel, Adhemar; Dierckx, Paul 14 2004 Orthonormal polynomial vectors and least squares approximation for a discrete inner product. Zbl 0857.42013 Van Barel, M.; Bultheel, A. 14 1995 On the stability of normalized Powell–Sabin B-splines. Zbl 1045.41007 Maes, Jan; Vanraes, Evelyne; Dierckx, Paul; Bultheel, Adhemar 14 2004 Vector orthogonal polynomials and least squares approximation. Zbl 0824.41016 Bultheel, Adhemar; Van Barel, Marc 13 1995 Quadrature and orthogonal rational functions. Zbl 0970.41020 Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, Olav 13 2001 Orthogonal rational functions and interpolatory product rules on the unit circle. II: Quadrature and convergence. Zbl 0929.30027 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 13 1998 Recursive algorithms for the matrix Padé problem. Zbl 0442.41017 Bultheel, Adhemar 13 1980 Rational Szegő quadratures associated with Chebyshev weight functions. Zbl 1204.42038 Bultheel, Adhemar; Cruz-Barroso, Ruymán; Deckers, Karl; González-Vera, Pablo 13 2009 Orthogonal rational functions similar to Szegö polynomials. Zbl 0829.42020 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 12 1991 Boundary asymptotics for orthogonal rational functions on the unit circle. Zbl 0969.42012 Bultheel, Adhemar; Van Gucht, Patrick 12 2000 A rational moment problem on the unit circle. Zbl 0905.30030 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 12 1997 The computation of non-perfect Padé-Hermite approximants. Zbl 0753.65013 Van Barel, Marc; Bultheel, Adhemar 12 1991 A Favard theorem for orthogonal rational functions on the unit circle. Zbl 0786.42010 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 12 1992 Quadrature formulas on the unit circle based on rational functions. Zbl 0809.41027 Bultheel, Adhemar; Hendriksen, Erik; González-Vera, Pablo; Njåstad, Olav 12 1994 Generalized cross validation for wavelet thresholding. Zbl 0892.94002 Jansen, Maarten; Malfait, Maurits; Bultheel, Adhemar 11 1997 Orthogonal basis functions in discrete least-squares rational approximation. Zbl 1046.93010 Bultheel, A.; Van Barel, M.; Van gucht, P. 11 2004 Recurrence and asymptotics for orthonormal rational functions on an interval. Zbl 1159.65025 Deckers, Karl; Bultheel, Adhemar 11 2009 A matricial computation of rational quadrature formulas on the unit circle. Zbl 1172.65015 Bultheel, Adhemar; Cantero, Maria-José 10 2009 A parallel algorithm for discrete least squares rational approximation. Zbl 0762.41016 Van Barel, Marc; Bultheel, Adhemar 10 1992 Orthogonal matrix functions related to the multivariable Nevanlinna-Pick problem. Zbl 0458.42016 Bultheel, A. 10 1980 Orthogonal rational functions for system identification: numerical aspects. Zbl 1364.93171 Van Gucht, Patrick; Bultheel, Adhemar 10 2003 Orthogonal rational functions and quadrature on the real half line. Zbl 1049.42012 Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, Olav 10 2003 Computing rational Gauss-Chebyshev quadrature formulas with complex poles: The algorithm. Zbl 1173.65018 Deckers, Karl; van Deun, Joris; Bultheel, Adhemar 9 2009 Rational approximation in linear systems and control. Zbl 0967.30023 Bultheel, A.; De Moor, B. 9 2000 Computation of the fractional Fourier transform. Zbl 1049.65156 Bultheel, Adhemar; Martínez Sulbaran, Héctor E. 9 2004 Positive interpolatory quadrature formulas and para-orthogonal polynomials. Zbl 1068.41048 Bultheel, Adhemar; Daruis, Leyla; González-Vera, Pablo 9 2005 Matrix Padé approximation: Definitions and properties. Zbl 0704.41011 Xu, Guo-liang; Bultheel, Adhemar 9 1990 Matrix methods for quadrature formulas on the unit circle. A survey. Zbl 1312.65033 Bultheel, Adhemar; Cantero, María José; Cruz-Barroso, Ruymán 9 2015 Stable multiresolution analysis on triangles for surface compression. Zbl 1112.65135 Maes, Jan; Bultheel, Adhemar 8 2006 Inequalities in Hilbert modules of matrix-valued functions. Zbl 0493.46023 Bultheel, Adhemar 8 1982 Powell-Sabin spline wavelets. Zbl 1071.42027 Vanraes, Evelyne; Maes, Jan; Bultheel, Adhemar 8 2004 An interpolation algorithm for orthogonal rational functions. Zbl 1034.42026 Van Deun, J.; Bultheel, A. 8 2004 Asymptotics for orthogonal rational functions. Zbl 0814.42012 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 8 1994 Orthogonal rational functions on the real half line with poles in \([-\infty,0]\). Zbl 1068.42022 Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. 8 2005 Minimal vector Padé approximation. Zbl 0711.41003 Bultheel, Adhemar; Van Barel, Marc 8 1990 On the convergence of multipoint Padé-type approximants and quadrature formulas associated with the unit circle. Zbl 0864.41016 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 8 1996 Division algorithms for continued fractions and the Padé table. Zbl 0445.65012 Bultheel, A. 8 1980 Discrete linearized least-squares rational approximation on the unit circle. Zbl 0810.65011 Van Barel, Marc; Bultheel, Adhemar 8 1994 Quadrature formulas on the unit circle and two-point Padé approximation. Zbl 0803.41036 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 8 1994 Stabilised wavelet transforms for non-equispaced data smoothing. Zbl 1012.94513 Vanraes, Evelyne; Jansen, Maarten; Bultheel, Adhemar 8 2002 Multiple wavelet threshold estimation by generalized cross validation for images with correlated noise. Zbl 0952.65112 Jansen, Maarten; Bultheel, Adhemar 7 1999 Formal orthogonal polynomials and Hankel/Toeplitz duality. Zbl 0867.42012 Bultheel, Adhemar; Van Barel, Marc 7 1995 The implicit application of a rational filter in the RKS method. Zbl 0890.65035 de Samblanx, G.; Meerbergen, K.; Bultheel, A. 7 1997 Algebraic and spectral properties of general Toeplitz matrices. Zbl 1042.42014 Bultheel, A.; Carrette, P. 7 2003 Orthogonal Laurent polynomials and quadrature formulas for unbounded intervals. I: Gauss-type formulas. Zbl 1040.41012 Bultheel, A.; Díaz-Mendoza, C.; González-Vera, P.; Orive, R. 7 2003 State space representation for arbitrary orthogonal rational functions. Zbl 1157.93359 Van Gucht, Patrick; Bultheel, Adhemar 7 2003 A new formal approach to the rational interpolation problem. Zbl 0765.65016 Van Barel, Marc; Bultheel, Adhemar 7 1992 Ratio asymptotics for orthogonal rational functions on an interval. Zbl 1027.42018 Van Deun, J.; Bultheel, A. 7 2003 Rational quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity. Zbl 1203.65054 Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. 7 2010 Computation of rational Szegő-Lobatto quadrature formulas. Zbl 1203.65055 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 7 2010 An algebraic method to solve the minimal partial realization problem for scalar sequences. Zbl 0651.15011 van Barel, M.; Bultheel, A. 6 1988 BPX-type preconditioners for second and fourth order elliptic problems on the sphere. Zbl 1144.65076 Maes, Jan; Kunoth, Angela; Bultheel, Adhemar 6 2007 A Favard theorem for rational functions with poles on the unit circle. Zbl 0893.33004 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 6 1997 Matrix continued fractions related to first-order linear recurrence systems. Zbl 0860.65128 Levrie, P.; Bultheel, A. 6 1996 Orthogonal rational functions and continued fractions. Zbl 0995.42017 Bultheel, Adhemar; Gonzalez-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 6 2001 Quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity. Zbl 1184.41015 Bultheel, Adhemar; Daruis, Leyla; González-Vera, Pablo 6 2009 Orthogonal rational functions and rational modifications of a measure on the unit circle. Zbl 1173.30025 Deckers, Karl; Bultheel, Adhemar 6 2009 Orthogonal rational functions and nested disks. Zbl 0878.42012 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 6 1997 A moment problem associated to rational Szegö functions. Zbl 0781.30030 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 6 1992 Numerically robust transfer function modeling from noisy frequency domain data. Zbl 1365.93156 Bultheel, A.; Van Barel, M.; Rolain, Y.; Pintelon, R. 6 2005 Uniform Powell-Sabin spline wavelets. Zbl 1018.65155 Windmolders, Joris; Vanraes, Evelyne; Dierckx, Paul; Bultheel, Adhemar 6 2003 An indeterminate rational moment problem and Carathéodory functions. Zbl 1149.30001 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 6 2008 A density problem for orthogonal rational functions. Zbl 0944.30021 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 5 1999 Wavelets by orthogonal rational kernels. Zbl 0944.42025 Bultheel, Adhemar; González-Vera, Pablo 5 1999 Orthogonal rational functions and modified approximants. Zbl 0845.30025 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 5 1996 Determinacy of a rational moment problem. Zbl 0997.44005 Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. 5 2001 The computation of orthogonal rational functions on an interval. Zbl 1089.65017 Van Deun, J.; Bultheel, A. 5 2005 Rates of convergence of multipoint rational approximants and quadrature formulas on the unit circle. Zbl 0867.41012 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 5 1997 A lookahead algorithm for the solution of block Toeplitz systems. Zbl 0885.65028 Van Barel, Marc; Bultheel, Adhemar 5 1997 Recursive algorithms for nonnormal Padé tables. Zbl 0445.65011 Bultheel, A. 5 1980 The “look-ahead” philosophy applied to matrix rational interpolation problems. Zbl 1126.41300 Van Barel, Marc; Bultheel, Adhemar 5 1994 Computing orthogonal rational functions with poles near the boundary. Zbl 1118.65018 Van Deun, J.; Bultheel, A.; González Vera, P. 4 2007 Schur-Nevanlinna sequences of rational functions. Zbl 1152.30037 Bultheel, Adhemar; Lasarow, Andreas 4 2007 Recursive relations for block Hankel and Toeplitz systems. Part I: Direct recursions. Zbl 0539.65021 Bultheel, A. 4 1984 Two-point Padé approximation to Herglotz-Riesz transforms. Zbl 1528.41032 Bultheel, Adhemar; Mendoza, Carlos Díaz 1 2023 Zeros of quasi-paraorthogonal polynomials and positive quadrature. Zbl 1500.33006 Bultheel, Adhemar; Cruz-Barroso, Ruymán; Díaz Mendoza, Carlos 2 2022 Properties of interpolatory quadrature with equidistant nodes on the unit circle. Zbl 1384.41021 Bultheel, Adhemar; Santos-León, Juan Carlos 1 2018 Orthogonal rational functions on the unit circle with prescribed poles not on the unit circle. Zbl 1402.30027 Bultheel, Adhemar; Cruz-Barroso, Ruyman; Lasarow, Andreas 2 2017 Dimensionality of hypercube clusters. Zbl 1349.05212 Kaatz, Forrest H.; Bultheel, Adhemar 4 2016 Matrix methods for quadrature formulas on the unit circle. A survey. Zbl 1312.65033 Bultheel, Adhemar; Cantero, María José; Cruz-Barroso, Ruymán 9 2015 Informational thermodynamic model for nanostructures. Zbl 1303.82039 Kaatz, Forrest H.; Bultheel, Adhemar 2 2014 Erratum to: “On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line”. Zbl 1270.65016 Bultheel, Adhemar; Cruz-Barroso, Ruymán; Van Barel, Marc 3 2013 Quadratures associated with pseudo-orthogonal rational functions on the real half line with poles in \([-\infty,0]\). Zbl 1262.65041 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 2 2013 Statistical properties of carbon nanostructures. Zbl 1320.92080 Kaatz, Forrest H.; Bultheel, Adhemar 2 2013 Power law statistics of rippled graphene nanoflakes. Zbl 1320.92081 Kaatz, Forrest H.; Bultheel, Adhemar 1 2013 The existence and construction of rational Gauss-type quadrature rules. Zbl 1266.41019 Deckers, Karl; Bultheel, Adhemar 4 2012 Rational interpolation. I: Least square convergence. Zbl 1254.41002 Deckers, Karl; Bultheel, Adhemar 1 2012 A generalized eigenvalue problem for quasi-orthogonal rational functions. Zbl 1213.65044 Deckers, K.; Bultheel, A.; Van Deun, J. 4 2011 Rational Gauss-Radau and rational Szegő-Lobatto quadrature on the interval and the unit circle respectively. Zbl 1264.41027 Deckers, Karl; Bultheel, Adhemar; Perdomo-Pío, Francisco 3 2011 Natural solutions of rational Stieltjes moment problems. Zbl 1211.44006 Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. 1 2011 On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line. Zbl 1186.65029 Bultheel, Adhemar; Cruz-Barroso, Ruymán; Van Barel, Marc 19 2010 Rational quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity. Zbl 1203.65054 Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. 7 2010 Computation of rational Szegő-Lobatto quadrature formulas. Zbl 1203.65055 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 7 2010 Computation of Gauss-type quadrature formulas with some preassigned nodes. Zbl 1231.41030 Bultheel, A.; Cruz-Barroso, R.; González-Vera, P.; Perdomo-Pío, F. 3 2010 Positive rational interpolatory quadrature formulas on the unit circle and the interval. Zbl 1204.41022 Deckers, Karl; Bultheel, Adhemar; Cruz-Barroso, Ruymán; Perdomo-Pío, Francisco 3 2010 Growth properties of Nevanlinna matrices for rational moment problems. Zbl 1210.44003 Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. 2 2010 Orthogonal rational functions with real coefficients and semiseparable matrices. Zbl 1178.93065 Bultheel, A.; van Gucht, P.; van Barel, M. 2 2010 On the existence of para-orthogonal rational functions on the unit circle. Zbl 1257.42036 Bultheel, Adhemar; Lasarow, Andreas 2 2010 Rational Szegő quadratures associated with Chebyshev weight functions. Zbl 1204.42038 Bultheel, Adhemar; Cruz-Barroso, Ruymán; Deckers, Karl; González-Vera, Pablo 13 2009 Recurrence and asymptotics for orthonormal rational functions on an interval. Zbl 1159.65025 Deckers, Karl; Bultheel, Adhemar 11 2009 A matricial computation of rational quadrature formulas on the unit circle. Zbl 1172.65015 Bultheel, Adhemar; Cantero, Maria-José 10 2009 Computing rational Gauss-Chebyshev quadrature formulas with complex poles: The algorithm. Zbl 1173.65018 Deckers, Karl; van Deun, Joris; Bultheel, Adhemar 9 2009 Quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity. Zbl 1184.41015 Bultheel, Adhemar; Daruis, Leyla; González-Vera, Pablo 6 2009 Orthogonal rational functions and rational modifications of a measure on the unit circle. Zbl 1173.30025 Deckers, Karl; Bultheel, Adhemar 6 2009 Orthogonal rational functions with complex poles: The Favard theorem. Zbl 1165.30002 Deckers, Karl; Bultheel, Adhemar 4 2009 Orthogonal rational functions. Reprint of the 1999 hardback ed. Zbl 1205.42024 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 1 2009 Rational Gauss-Chebyshev quadrature formulas for complex poles outside \([-1,1]\). Zbl 1136.42304 Deckers, Karl; Van Deun, Joris; Bultheel, Adhemar 15 2008 An indeterminate rational moment problem and Carathéodory functions. Zbl 1149.30001 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 6 2008 Stability analysis of biorthogonal multiwavelets whose duals are not in \(L_2\) and its application to local semiorthogonal lifting. Zbl 1147.65113 Maes, Jan; Bultheel, Adhemar 4 2008 Associated rational functions based on a three-term recurrence relation for orthogonal rational functions. Zbl 1229.42027 Deckers, Karl; Bultheel, Adhemar 3 2008 An extended relation between orthogonal rational functions on the unit circle and the interval \([ - 1,1]\). Zbl 1117.30030 Deckers, Karl; Van Deun, Joris; Bultheel, Adhemar 15 2007 BPX-type preconditioners for second and fourth order elliptic problems on the sphere. Zbl 1144.65076 Maes, Jan; Kunoth, Angela; Bultheel, Adhemar 6 2007 Computing orthogonal rational functions with poles near the boundary. Zbl 1118.65018 Van Deun, J.; Bultheel, A.; González Vera, P. 4 2007 Schur-Nevanlinna sequences of rational functions. Zbl 1152.30037 Bultheel, Adhemar; Lasarow, Andreas 4 2007 Modeling sphere-like manifolds with spherical Powell-Sabin B-splines. Zbl 1171.65320 Maes, Jan; Bultheel, Adhemar 2 2007 Smooth spline wavelets on the sphere. Zbl 1130.65135 Maes, Jan; Bultheel, Adhemar 2 2007 Recent developments in the theory of the fractional Fourier and linear canonical transforms. Zbl 1143.42004 Bultheel, A.; Martínez-Sulbaran, H. 33 2006 On computing rational Gauss-Chebyshev quadrature formulas. Zbl 1077.42018 Van Deun, Joris; Bultheel, Adhemar; González Vera, Pablo 17 2006 Stable multiresolution analysis on triangles for surface compression. Zbl 1112.65135 Maes, Jan; Bultheel, Adhemar 8 2006 A hierarchical basis preconditioner for the biharmonic equation on the sphere. Zbl 1099.65042 Maes, Jan; Bultheel, Adhemar 4 2006 \(C^{1}\) hierarchical Riesz bases of Lagrange type on Powell-Sabin triangulations. Zbl 1097.65037 Maes, Jan; Bultheel, Adhemar 4 2006 Adaptive splitting for stabilizing 1-D wavelet decompositions on irregular grids. Zbl 1172.94526 van Aerschot, Ward; Jansen, Maarten; Bultheel, Adhemar 3 2006 Surface compression with hierarchical Powell-Sabin B-splines. Zbl 1092.41005 Maes, Jan; Bultheel, Adhemar 3 2006 Orthogonal rational functions on the unit circle: from the scalar to the matrix case. Zbl 1142.42010 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 3 2006 A quadrature formula based on Chebyshev rational functions. Zbl 1108.41020 van Deun, J.; Bultheel, A. 3 2006 Positive interpolatory quadrature formulas and para-orthogonal polynomials. Zbl 1068.41048 Bultheel, Adhemar; Daruis, Leyla; González-Vera, Pablo 9 2005 Orthogonal rational functions on the real half line with poles in \([-\infty,0]\). Zbl 1068.42022 Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. 8 2005 Numerically robust transfer function modeling from noisy frequency domain data. Zbl 1365.93156 Bultheel, A.; Van Barel, M.; Rolain, Y.; Pintelon, R. 6 2005 The computation of orthogonal rational functions on an interval. Zbl 1089.65017 Van Deun, J.; Bultheel, A. 5 2005 A weak-star convergence result for orthogonal rational functions. Zbl 1079.42019 Van Deun, J.; Bultheel, A. 4 2005 Orthogonal Laurent polynomials and quadrature formulas for unbounded intervals. II: interpolatory rules. Zbl 1072.41016 Bultheel, A.; Díaz-Mendoza, C.; González-Vera, P.; Orive, R. 4 2005 An introduction to the fractional Fourier transform and friends. Zbl 1099.42004 Bultheel, A.; Martínez, H. 3 2005 Generalizations of orthogonal polynomials. Zbl 1068.42021 Bultheel, A.; Cuyt, A.; Van Assche, W.; Van Barel, M.; Verdonk, B. 3 2005 Modeling sharp features with tangent subdivision. Zbl 1079.65517 Vanraes, Evelyne; Bultheel, Adhemar 2 2005 Computing orthogonal rational functions on a halfline. Zbl 1216.42005 van Deun, Joris; Bultheel, Adhemar 1 2005 Separation of zeros of para-orthogonal rational functions. Zbl 1129.42406 Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, Olav 1 2005 Automatic construction of control triangles for subdivided Powell — Sabin splines. Zbl 1069.41508 Vanraes, Evelyne; Windmolders, Joris; Bultheel, Adhemar; Dierckx, Paul 14 2004 On the stability of normalized Powell–Sabin B-splines. Zbl 1045.41007 Maes, Jan; Vanraes, Evelyne; Dierckx, Paul; Bultheel, Adhemar 14 2004 Orthogonal basis functions in discrete least-squares rational approximation. Zbl 1046.93010 Bultheel, A.; Van Barel, M.; Van gucht, P. 11 2004 Computation of the fractional Fourier transform. Zbl 1049.65156 Bultheel, Adhemar; Martínez Sulbaran, Héctor E. 9 2004 Powell-Sabin spline wavelets. Zbl 1071.42027 Vanraes, Evelyne; Maes, Jan; Bultheel, Adhemar 8 2004 An interpolation algorithm for orthogonal rational functions. Zbl 1034.42026 Van Deun, J.; Bultheel, A. 8 2004 Modified moments and orthogonal rational functions. Zbl 1067.65024 Van Deun, J.; Bultheel, A. 4 2004 Orthogonal rational functions and tridiagonal matrices. Zbl 1014.42017 Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. 74 2003 Orthogonal rational functions and quadrature on an interval. Zbl 1016.41015 Van Deun, J.; Bultheel, A. 16 2003 Orthogonal rational functions for system identification: numerical aspects. Zbl 1364.93171 Van Gucht, Patrick; Bultheel, Adhemar 10 2003 Orthogonal rational functions and quadrature on the real half line. Zbl 1049.42012 Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, Olav 10 2003 Algebraic and spectral properties of general Toeplitz matrices. Zbl 1042.42014 Bultheel, A.; Carrette, P. 7 2003 Orthogonal Laurent polynomials and quadrature formulas for unbounded intervals. I: Gauss-type formulas. Zbl 1040.41012 Bultheel, A.; Díaz-Mendoza, C.; González-Vera, P.; Orive, R. 7 2003 State space representation for arbitrary orthogonal rational functions. Zbl 1157.93359 Van Gucht, Patrick; Bultheel, Adhemar 7 2003 Ratio asymptotics for orthogonal rational functions on an interval. Zbl 1027.42018 Van Deun, J.; Bultheel, A. 7 2003 Uniform Powell-Sabin spline wavelets. Zbl 1018.65155 Windmolders, Joris; Vanraes, Evelyne; Dierckx, Paul; Bultheel, Adhemar 6 2003 Positivity of continued fractions associated with rational Stieltjes moment problems. Zbl 1053.30005 Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, Olav 2 2003 Stabilised wavelet transforms for non-equispaced data smoothing. Zbl 1012.94513 Vanraes, Evelyne; Jansen, Maarten; Bultheel, Adhemar 8 2002 A rational Stieltjes moment problem. Zbl 1055.30031 Bultheel, A.; Gonzalez-Vera, P.; Hendriksen, E.; Njåstad, Olav 4 2002 A connection between quadrature formulas on the unit circle and the interval \([-1,1]\). Zbl 0985.41021 Bultheel, Adhemar; Daruis, Leyla; González-Vera, Pablo 23 2001 Quadrature and orthogonal rational functions. Zbl 0970.41020 Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, Olav 13 2001 Orthogonal rational functions and continued fractions. Zbl 0995.42017 Bultheel, Adhemar; Gonzalez-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 6 2001 Determinacy of a rational moment problem. Zbl 0997.44005 Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. 5 2001 Asymptotic behavior of the minimum mean squared error threshold for noisy wavelet coefficients of piecewise smooth signals. Zbl 1369.94408 Jansen, Maarten; Bultheel, Adhemar 4 2001 Updating and downdating of orthonormal polynomial vectors and some applications. Zbl 1017.42015 Van Barel, Marc; Bultheel, Adhemar 3 2001 Bernstein equiconvergence and Fejér-type theorems for general rational Fourier series. Zbl 0993.42011 Van Gucht, P.; Bultheel, A. 1 2001 Empirical Bayes approach to improve wavelet thresholding for image noise reduction. Zbl 1018.62007 Jansen, Maarten; Bultheel, Adhemar 1 2001 Orthogonal rational functions and interpolatory product rules on the unit circle. III: Convergence of general sequences. Zbl 0979.41019 Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. 15 2000 On the convergence of certain Gauss-type quadrature formulas for unbounded intervals. Zbl 0941.41015 Bultheel, A.; Díaz-Mendoza, C.; González-Vera, P.; Orive, R. 14 2000 Boundary asymptotics for orthogonal rational functions on the unit circle. Zbl 0969.42012 Bultheel, Adhemar; Van Gucht, Patrick 12 2000 Rational approximation in linear systems and control. Zbl 0967.30023 Bultheel, A.; De Moor, B. 9 2000 Rational wavelets on the real line. Zbl 0965.42023 Bultheel, A.; González-Vera, P. 4 2000 Interpolation by rational functions with nodes on the unit circle. Zbl 0966.30031 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 4 2000 Orthogonal rational functions. Zbl 0923.42017 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 64 1999 Multiple wavelet threshold estimation by generalized cross validation for images with correlated noise. Zbl 0952.65112 Jansen, Maarten; Bultheel, Adhemar 7 1999 A density problem for orthogonal rational functions. Zbl 0944.30021 Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav 5 1999 Wavelets by orthogonal rational kernels. Zbl 0944.42025 Bultheel, Adhemar; González-Vera, Pablo 5 1999 Estimates of the rate of convergence for certain quadrature formulas on the half-line. Zbl 0939.65033 Bultheel, Adhemar; Díaz-Mendoza, Carlos; González-Vera, Pablo; Orive, Ramon 4 1999 ...and 91 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 651 Authors 108 Bultheel, Adhemar François 62 González-Vera, Pablo 38 Njåstad, Olav 33 Van Barel, Marc 26 Hendriksen, Erik 21 Lasarow, Andreas 19 Díaz-Mendoza, Carlos 18 Cruz-Barroso, Ruymán 16 Deckers, Karl 14 Van Deun, Joris 12 Orive Rodríguez, Ramón Angel 12 Qian, Tao 11 Reichel, Lothar 11 Speleers, Hendrik 10 Beckermann, Bernhard 10 Heinig, Georg 9 Sri Ranga, Alagacone 8 Perdomo-Pío, Francisco 7 Daruis, Leyla 7 Dierckx, Paul 7 Fritzsche, Bernd 7 Kirstein, Bernd 7 Maes, Jan 7 Neiger, Vincent 6 Cantero, María José 6 Grošelj, Jan 6 Jansen, Maarten 6 Jiménez Paiz, Mateo M. 6 Labahn, George 6 Prasad, Akhilesh 6 Sbibih, Driss 5 Delvaux, Steven 5 González-Concepción, Concepción 5 Gutknecht, Martin H. 5 Hagler, Brian A. 5 Jagels, Carl F. 5 Lubinsky, Doron S. 5 Santos-León, Juan-Carlos 5 Vandebril, Raf 5 Vandewalle, Stefan G. 4 Balasubramanian, Krishnan 4 Baumann, Hendrik 4 Brezinski, Claude 4 Freund, Roland W. 4 Fuentes, Edinson 4 Garza, Luis E. 4 Hanschke, Thomas 4 Krajnc, Marjeta 4 Kravanja, Peter 4 Kumar, Tanuj 4 Levrie, Paul 4 Meerbergen, Karl 4 Mi, Wen 4 Pestano-Gabino, Celina 4 Pozza, Stefano 4 Pranic, Miroslav S. 4 Rost, Karla 4 Schost, Éric 4 Serghini, Abdelhafid 4 Simoncini, Valeria 4 Tijini, Ahmed 4 Van Gucht, Patrick 4 Velázquez, Luis 4 Villard, Gilles 4 Zhedanov, Alexei S. 3 Achuthan, P. 3 Bracciali, Cleonice Fátima 3 Chen, Gongning 3 Chen, Qiuhui 3 Chesnokov, Andrey A. 3 Choque Rivero, Abdon Eddy 3 de la Calle Ysern, Bernardo 3 De Samblanx, Gorik 3 Dem’yanovich, Yuriĭ Kazimirovich 3 Derevyagin, Maxim S. 3 Driver, Kathy A. 3 Emsiz, Erdal 3 Gemignani, Luca 3 Gil-Fariña, María Candelaria 3 Jankowski, Peter 3 Jeannerod, Claude-Pierre 3 Jones, William Branham 3 Jooste, Alta S. 3 López Lagomasino, Guillermo Tomás 3 Mai, Weixiong 3 Mañas, Manuel 3 Marcellán Español, Francisco 3 McCabe, John H. 3 Milovanović, Gradimir V. 3 Oomen, Tom 3 Pernet, Clément 3 Sahbani, Jihed 3 Sang, Yan-Fang 3 Tan, Lihui 3 Tao, Ran 3 Tokarzewski, Stanisław 3 Van Assche, Walter 3 van Diejen, Jan Felipe 3 Vanraes, Evelyne 3 Vavřín, Zdeněk ...and 551 more Authors all top 5 Cited in 143 Serials 132 Journal of Computational and Applied Mathematics 45 Linear Algebra and its Applications 33 Numerical Algorithms 28 Journal of Approximation Theory 23 Applied Numerical Mathematics 20 Numerische Mathematik 17 Mathematics of Computation 14 Journal of Mathematical Analysis and Applications 11 Computers & Mathematics with Applications 11 Applied Mathematics and Computation 10 Computer Aided Geometric Design 10 International Journal of Wavelets, Multiresolution and Information Processing 9 Rocky Mountain Journal of Mathematics 8 Automatica 8 Journal of Mathematical Chemistry 7 SIAM Journal on Matrix Analysis and Applications 6 Advances in Computational Mathematics 6 The Journal of Fourier Analysis and Applications 5 Computer Methods in Applied Mechanics and Engineering 5 Calcolo 5 Mathematische Nachrichten 5 Proceedings of the American Mathematical Society 5 Journal of Symbolic Computation 5 Journal of Complexity 4 Transactions of the American Mathematical Society 4 Systems & Control Letters 4 Circuits, Systems, and Signal Processing 4 Constructive Approximation 4 Journal of Mathematical Sciences (New York) 4 Integral Transforms and Special Functions 3 International Journal of Control 3 Advances in Mathematics 3 BIT 3 Numerical Functional Analysis and Optimization 3 Results in Mathematics 3 Applied and Computational Harmonic Analysis 3 Mathematical Problems in Engineering 3 Analysis (München) 3 Entropy 3 SIGMA. 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Série VI 1 Russian Mathematics 1 Test 1 Communications in Numerical Methods in Engineering ...and 43 more Serials all top 5 Cited in 50 Fields 284 Numerical analysis (65-XX) 213 Approximations and expansions (41-XX) 174 Harmonic analysis on Euclidean spaces (42-XX) 102 Functions of a complex variable (30-XX) 73 Special functions (33-XX) 65 Linear and multilinear algebra; matrix theory (15-XX) 40 Systems theory; control (93-XX) 39 Operator theory (47-XX) 38 Integral transforms, operational calculus (44-XX) 34 Information and communication theory, circuits (94-XX) 25 Partial differential equations (35-XX) 25 Statistics (62-XX) 20 Functional analysis (46-XX) 17 Sequences, series, summability (40-XX) 17 Computer science (68-XX) 13 Biology and other natural sciences (92-XX) 11 Combinatorics (05-XX) 10 Number theory (11-XX) 10 Ordinary differential equations (34-XX) 9 Dynamical systems and ergodic theory (37-XX) 9 Quantum theory (81-XX) 7 Difference and functional equations (39-XX) 6 Abstract harmonic analysis (43-XX) 6 Probability theory and stochastic processes (60-XX) 6 Mechanics of deformable solids (74-XX) 5 Differential geometry (53-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Commutative algebra (13-XX) 4 Real functions (26-XX) 4 Potential theory (31-XX) 3 Algebraic geometry (14-XX) 3 Fluid mechanics (76-XX) 3 Optics, electromagnetic theory (78-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Field theory and polynomials (12-XX) 2 Associative rings and algebras (16-XX) 2 Measure and integration (28-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral equations (45-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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