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Bultheel, Adhemar François

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Author ID: bultheel.adhemar Recent zbMATH articles by "Bultheel, Adhemar François"
Published as: Bultheel, A.; Bultheel, Adhemar
Homepage: https://people.cs.kuleuven.be/~adhemar.bultheel/
External Links: MGP · Math-Net.Ru · Wikidata · ORCID · dblp
Documents Indexed: 231 Publications since 1979, including 9 Books
Reviewing Activity: 668 Reviews
Biographic References: 1 Publication
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Serials

49 Journal of Computational and Applied Mathematics
16 Bulletin of the Belgian Mathematical Society - Simon Stevin
13 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
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

Publications by Year

Citations contained in zbMATH Open

188 Publications have been cited 1,393 times in 547 Documents Cited by Year
Orthogonal rational functions. Zbl 0923.42017
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav
98
1999
Orthogonal rational functions and tridiagonal matrices. Zbl 1014.42017
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O.
61
2003
A general module theoretic framework for vector M-Padé and matrix rational interpolation. Zbl 0780.41014
Van Barel, M.; Bultheel, A.
29
1992
Linear algebra, rational approximation and orthogonal polynomials. Zbl 0890.65024
Bultheel, Adhemar; Van Barel, Marc
26
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
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.
22
1997
Laurent series and their Padé approximations. Zbl 0624.30005
Bultheel, Adhemar
22
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.
21
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
19
2001
Moment problems and orthogonal functions. Zbl 0795.33003
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav
18
1993
Orthogonal rational functions and quadrature on the unit circle. Zbl 0786.42011
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Eric; Njåstad, Olav
18
1992
A new approach to the rational interpolation problem: The vector case. Zbl 0729.41005
Van Barel, Marc; Bultheel, Adhemar
18
1990
Boundary asymptotics for orthogonal rational functions on the unit circle. Zbl 0969.42012
Bultheel, Adhemar; Van Gucht, Patrick
17
2000
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.
17
1997
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
17
1994
On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line. Zbl 1186.65029
Bultheel, Adhemar; Cruz-Barroso, Ruymán; Van Barel, Marc
16
2010
On computing rational Gauss-Chebyshev quadrature formulas. Zbl 1077.42018
Van Deun, Joris; Bultheel, Adhemar; González Vera, Pablo
16
2006
Orthogonal rational functions and quadrature on an interval. Zbl 1016.41015
Van Deun, J.; Bultheel, A.
16
2003
A new approach to the rational interpolation problem. Zbl 0715.41018
Van Barel, Marc; Bultheel, Adhemar
16
1990
Recent developments in the theory of the fractional Fourier and linear canonical transforms. Zbl 1143.42004
Bultheel, A.; Martínez-Sulbaran, H.
15
2006
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
Rational Gauss-Chebyshev quadrature formulas for complex poles outside \([-1,1]\). Zbl 1136.42304
Deckers, Karl; Van Deun, Joris; Bultheel, Adhemar
14
2008
Quadrature and orthogonal rational functions. Zbl 0970.41020
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, Olav
14
2001
Orthonormal polynomial vectors and least squares approximation for a discrete inner product. Zbl 0857.42013
Van Barel, M.; Bultheel, A.
14
1995
Orthogonality and quadrature on the unit circle. Zbl 0830.30022
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav
14
1991
Orthogonal functions related to the Nevanlinna-Pick problem. Zbl 0503.42020
Bultheel, A.; Dewilde, Patrick
14
1979
Automatic construction of control triangles for subdivided Powell — Sabin splines. Zbl 1069.41508
Vanraes, Evelyne; Windmolders, Joris; Bultheel, Adhemar; Dierckx, Paul
13
2004
On the stability of normalized Powell–Sabin B-splines. Zbl 1045.41007
Maes, Jan; Vanraes, Evelyne; Dierckx, Paul; Bultheel, Adhemar
13
2004
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.
13
2000
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
Asymptotics for orthogonal rational functions. Zbl 0814.42012
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav
13
1994
Orthogonal rational functions similar to Szegö polynomials. Zbl 0829.42020
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav
13
1991
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
12
2009
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
12
2007
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
The computation of non-perfect Padé-Hermite approximants. Zbl 0753.65013
Van Barel, Marc; Bultheel, Adhemar
12
1991
A rational moment problem on the unit circle. Zbl 0905.30030
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav
11
1997
Vector orthogonal polynomials and least squares approximation. Zbl 0824.41016
Bultheel, Adhemar; Van Barel, Marc
11
1995
Quadrature formulas on the unit circle based on rational functions. Zbl 0809.41027
Bultheel, Adhemar; Hendriksen, Erik; González-Vera, Pablo; Njåstad, Olav
11
1994
Recurrence and asymptotics for orthonormal rational functions on an interval. Zbl 1159.65025
Deckers, Karl; Bultheel, Adhemar
10
2009
Orthogonal basis functions in discrete least-squares rational approximation. Zbl 1046.93010
Bultheel, A.; Van Barel, M.; Van gucht, P.
10
2004
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
Generalized cross validation for wavelet thresholding. Zbl 0892.94002
Jansen, Maarten; Malfait, Maurits; Bultheel, Adhemar
10
1997
A parallel algorithm for discrete least squares rational approximation. Zbl 0762.41016
Van Barel, Marc; Bultheel, Adhemar
10
1992
A matricial computation of rational quadrature formulas on the unit circle. Zbl 1172.65015
Bultheel, Adhemar; Cantero, Maria-José
9
2009
Positive interpolatory quadrature formulas and para-orthogonal polynomials. Zbl 1068.41048
Bultheel, Adhemar; Daruis, Leyla; González-Vera, Pablo
9
2005
State space representation for arbitrary orthogonal rational functions. Zbl 1157.93359
Van Gucht, Patrick; Bultheel, Adhemar
9
2003
A moment problem associated to rational Szegö functions. Zbl 0781.30030
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav
9
1992
Matrix Padé approximation: Definitions and properties. Zbl 0704.41011
Xu, Guo-liang; Bultheel, Adhemar
9
1990
Orthogonal matrix functions related to the multivariable Nevanlinna-Pick problem. Zbl 0458.42016
Bultheel, A.
9
1980
Computing rational Gauss-Chebyshev quadrature formulas with complex poles: The algorithm. Zbl 1173.65018
Deckers, Karl; van Deun, Joris; Bultheel, Adhemar
8
2009
Stable multiresolution analysis on triangles for surface compression. Zbl 1112.65135
Maes, Jan; Bultheel, Adhemar
8
2006
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
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
Stabilised wavelet transforms for non-equispaced data smoothing. Zbl 1012.94513
Vanraes, Evelyne; Jansen, Maarten; Bultheel, Adhemar
8
2002
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
Discrete linearized least-squares rational approximation on the unit circle. Zbl 0810.65011
Van Barel, Marc; Bultheel, Adhemar
8
1994
Minimal vector Padé approximation. Zbl 0711.41003
Bultheel, Adhemar; Van Barel, Marc
8
1990
Division algorithms for continued fractions and the Padé table. Zbl 0445.65012
Bultheel, A.
8
1980
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 the fractional Fourier transform. Zbl 1049.65156
Bultheel, Adhemar; Martínez Sulbaran, Héctor E.
7
2004
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
Algebraic and spectral properties of general Toeplitz matrices. Zbl 1042.42014
Bultheel, A.; Carrette, P.
7
2003
Ratio asymptotics for orthogonal rational functions on an interval. Zbl 1027.42018
Van Deun, J.; Bultheel, A.
7
2003
Rational approximation in linear systems and control. Zbl 0967.30023
Bultheel, A.; De Moor, B.
7
2000
The implicit application of a rational filter in the RKS method. Zbl 0890.65035
de Samblanx, G.; Meerbergen, K.; Bultheel, A.
7
1997
Formal orthogonal polynomials and Hankel/Toeplitz duality. Zbl 0867.42012
Bultheel, Adhemar; Van Barel, Marc
7
1995
Quadrature formulas on the unit circle and two-point Padé approximation. Zbl 0803.41036
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav
7
1994
A new formal approach to the rational interpolation problem. Zbl 0765.65016
Van Barel, Marc; Bultheel, Adhemar
7
1992
Inequalities in Hilbert modules of matrix-valued functions. Zbl 0493.46023
Bultheel, Adhemar
7
1982
Computation of rational Szegő-Lobatto quadrature formulas. Zbl 1203.65055
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav
6
2010
Orthogonal rational functions and rational modifications of a measure on the unit circle. Zbl 1173.30025
Deckers, Karl; Bultheel, Adhemar
6
2009
An indeterminate rational moment problem and Carathéodory functions. Zbl 1149.30001
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav
6
2008
BPX-type preconditioners for second and fourth order elliptic problems on the sphere. Zbl 1144.65076
Maes, Jan; Kunoth, Angela; Bultheel, Adhemar
6
2007
Uniform Powell-Sabin spline wavelets. Zbl 1018.65155
Windmolders, Joris; Vanraes, Evelyne; Dierckx, Paul; Bultheel, Adhemar
6
2003
Multiple wavelet threshold estimation by generalized cross validation for images with correlated noise. Zbl 0952.65112
Jansen, Maarten; Bultheel, Adhemar
6
1999
Wavelets by orthogonal rational kernels. Zbl 0944.42025
Bultheel, Adhemar; González-Vera, Pablo
6
1999
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
Orthogonal rational functions and nested disks. Zbl 0878.42012
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav
6
1997
An algebraic method to solve the minimal partial realization problem for scalar sequences. Zbl 0651.15011
van Barel, M.; Bultheel, A.
6
1988
Matrix methods for quadrature formulas on the unit circle. A survey. Zbl 1312.65033
Bultheel, Adhemar; Cantero, María José; Cruz-Barroso, Ruymán
5
2015
Quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity. Zbl 1184.41015
Bultheel, Adhemar; Daruis, Leyla; González-Vera, Pablo
5
2009
Numerically robust transfer function modeling from noisy frequency domain data. Zbl 1365.93156
Bultheel, A.; Van Barel, M.; Rolain, Y.; Pintelon, R.
5
2005
The computation of orthogonal rational functions on an interval. Zbl 1089.65017
Van Deun, J.; Bultheel, A.
5
2005
Orthogonal rational functions and continued fractions. Zbl 0995.42017
Bultheel, Adhemar; Gonzalez-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav
5
2001
Determinacy of a rational moment problem. Zbl 0997.44005
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O.
5
2001
A density problem for orthogonal rational functions. Zbl 0944.30021
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav
5
1999
A lookahead algorithm for the solution of block Toeplitz systems. Zbl 0885.65028
Van Barel, Marc; Bultheel, Adhemar
5
1997
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
Orthogonal rational functions and modified approximants. Zbl 0845.30025
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav
5
1996
The “look-ahead” philosophy applied to matrix rational interpolation problems. Zbl 1126.41300
Van Barel, Marc; Bultheel, Adhemar
5
1994
Recursive algorithms for nonnormal Padé tables. Zbl 0445.65011
Bultheel, A.
5
1980
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
4
2013
A generalized eigenvalue problem for quasi-orthogonal rational functions. Zbl 1213.65044
Deckers, K.; Bultheel, A.; Van Deun, J.
4
2011
Orthogonal rational functions with complex poles: The Favard theorem. Zbl 1165.30002
Deckers, Karl; Bultheel, Adhemar
4
2009
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
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
1
2017
Dimensionality of hypercube clusters. Zbl 1349.05212
Kaatz, Forrest H.; Bultheel, Adhemar
3
2016
Matrix methods for quadrature formulas on the unit circle. A survey. Zbl 1312.65033
Bultheel, Adhemar; Cantero, María José; Cruz-Barroso, Ruymán
5
2015
Informational thermodynamic model for nanostructures. Zbl 1303.82039
Kaatz, Forrest H.; Bultheel, Adhemar
1
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
4
2013
Statistical properties of carbon nanostructures. Zbl 1320.92080
Kaatz, Forrest H.; Bultheel, Adhemar
2
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
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
1
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
16
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
6
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
On the existence of para-orthogonal rational functions on the unit circle. Zbl 1257.42036
Bultheel, Adhemar; Lasarow, Andreas
2
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
Rational Szegő quadratures associated with Chebyshev weight functions. Zbl 1204.42038
Bultheel, Adhemar; Cruz-Barroso, Ruymán; Deckers, Karl; González-Vera, Pablo
12
2009
Recurrence and asymptotics for orthonormal rational functions on an interval. Zbl 1159.65025
Deckers, Karl; Bultheel, Adhemar
10
2009
A matricial computation of rational quadrature formulas on the unit circle. Zbl 1172.65015
Bultheel, Adhemar; Cantero, Maria-José
9
2009
Computing rational Gauss-Chebyshev quadrature formulas with complex poles: The algorithm. Zbl 1173.65018
Deckers, Karl; van Deun, Joris; Bultheel, Adhemar
8
2009
Orthogonal rational functions and rational modifications of a measure on the unit circle. Zbl 1173.30025
Deckers, Karl; Bultheel, Adhemar
6
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
5
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
14
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
12
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
Schur-Nevanlinna sequences of rational functions. Zbl 1152.30037
Bultheel, Adhemar; Lasarow, Andreas
4
2007
Computing orthogonal rational functions with poles near the boundary. Zbl 1118.65018
Van Deun, J.; Bultheel, A.; González Vera, P.
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
On computing rational Gauss-Chebyshev quadrature formulas. Zbl 1077.42018
Van Deun, Joris; Bultheel, Adhemar; González Vera, Pablo
16
2006
Recent developments in the theory of the fractional Fourier and linear canonical transforms. Zbl 1143.42004
Bultheel, A.; Martínez-Sulbaran, H.
15
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
Adaptive splitting for stabilizing 1-D wavelet decompositions on irregular grids. Zbl 1172.94526
van Aerschot, Ward; Jansen, Maarten; Bultheel, Adhemar
3
2006
A quadrature formula based on Chebyshev rational functions. Zbl 1108.41020
van Deun, J.; Bultheel, A.
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
Surface compression with hierarchical Powell-Sabin B-splines. Zbl 1092.41005
Maes, Jan; Bultheel, Adhemar
3
2006
\(C^{1}\) hierarchical Riesz bases of Lagrange type on Powell-Sabin triangulations. Zbl 1097.65037
Maes, Jan; Bultheel, Adhemar
2
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.
5
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.
3
2005
Modeling sharp features with tangent subdivision. Zbl 1079.65517
Vanraes, Evelyne; Bultheel, Adhemar
2
2005
Generalizations of orthogonal polynomials. Zbl 1068.42021
Bultheel, A.; Cuyt, A.; Van Assche, W.; Van Barel, M.; Verdonk, B.
2
2005
Computing orthogonal rational functions on a halfline. Zbl 1216.42005
van Deun, Joris; Bultheel, Adhemar
1
2005
An introduction to the fractional Fourier transform and friends. Zbl 1099.42004
Bultheel, A.; Martínez, H.
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
13
2004
On the stability of normalized Powell–Sabin B-splines. Zbl 1045.41007
Maes, Jan; Vanraes, Evelyne; Dierckx, Paul; Bultheel, Adhemar
13
2004
Orthogonal basis functions in discrete least-squares rational approximation. Zbl 1046.93010
Bultheel, A.; Van Barel, M.; Van gucht, P.
10
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
Computation of the fractional Fourier transform. Zbl 1049.65156
Bultheel, Adhemar; Martínez Sulbaran, Héctor E.
7
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.
61
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
State space representation for arbitrary orthogonal rational functions. Zbl 1157.93359
Van Gucht, Patrick; Bultheel, Adhemar
9
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
Algebraic and spectral properties of general Toeplitz matrices. Zbl 1042.42014
Bultheel, A.; Carrette, P.
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
19
2001
Quadrature and orthogonal rational functions. Zbl 0970.41020
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, Olav
14
2001
Orthogonal rational functions and continued fractions. Zbl 0995.42017
Bultheel, Adhemar; Gonzalez-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav
5
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
Empirical Bayes approach to improve wavelet thresholding for image noise reduction. Zbl 1018.62007
Jansen, Maarten; Bultheel, Adhemar
1
2001
Boundary asymptotics for orthogonal rational functions on the unit circle. Zbl 0969.42012
Bultheel, Adhemar; Van Gucht, Patrick
17
2000
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.
13
2000
Rational approximation in linear systems and control. Zbl 0967.30023
Bultheel, A.; De Moor, B.
7
2000
Interpolation by rational functions with nodes on the unit circle. Zbl 0966.30031
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav
3
2000
Rational wavelets on the real line. Zbl 0965.42023
Bultheel, A.; González-Vera, P.
3
2000
Orthogonal rational functions. Zbl 0923.42017
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav
98
1999
Multiple wavelet threshold estimation by generalized cross validation for images with correlated noise. Zbl 0952.65112
Jansen, Maarten; Bultheel, Adhemar
6
1999
Wavelets by orthogonal rational kernels. Zbl 0944.42025
Bultheel, Adhemar; González-Vera, Pablo
6
1999
A density problem for orthogonal rational functions. Zbl 0944.30021
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav
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
Using implicitly filtered RKS for generalised eigenvalue problems. Zbl 0944.65038
De Samblanx, Gorik; Bultheel, Adhemar
3
1999
Elements of a theory of orthogonal rational functions. Zbl 1029.42019
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav
2
1999
Integer wavelet transforms using the lifting scheme. Zbl 1061.42503
Uytterhoeven, Geert; Roose, Dirk; Bultheel, Adhemar
1
1999
Restrictions on implicit filtering techniques for orthogonal projection methods. Zbl 0942.65041
De Samblanx, G.; Bultheel, A.
1
1999
...and 88 more Documents
all top 5

Cited by 587 Authors

106 Bultheel, Adhemar François
63 González-Vera, Pablo
39 Njåstad, Olav
32 Van Barel, Marc
26 Hendriksen, Erik
20 Lasarow, Andreas
17 Cruz-Barroso, Ruymán
17 Díaz-Mendoza, Carlos
16 Deckers, Karl
14 Van Deun, Joris
12 Orive Rodríguez, Ramón Angel
11 Heinig, Georg
11 Speleers, Hendrik
10 Beckermann, Bernhard
10 Pan, Kegang
10 Qian, Tao
8 Perdomo-Pío, Francisco
8 Reichel, Lothar
7 Daruis, Leyla
7 Dierckx, Paul
7 Jiménez Paiz, Mateo M.
7 Labahn, George
7 Maes, Jan
7 Ranga, A. Sri
6 Fritzsche, Bernd
6 Jansen, Maarten
6 Kirstein, Bernd
6 Neiger, Vincent
6 Sbibih, Driss
5 Cantero, María José
5 Delvaux, Steven
5 González-Concepción, Concepción
5 Grošelj, Jan
5 Gutknecht, Martin H.
5 Hagler, Brian A.
5 Lubinsky, Doron S.
5 Rost, Karla
5 Santos-León, Juan-Carlos
5 Vandewalle, Stefan G.
4 Brezinski, Claude
4 Freund, Roland W.
4 Jagels, Carl F.
4 Kravanja, Peter
4 Levrie, Paul
4 Meerbergen, Karl
4 Mi, Wen
4 Pestano-Gabino, Celina
4 Schost, Éric
4 Serghini, Abdelhafid
4 Tijini, Ahmed
4 Van Gucht, Patrick
4 Vandebril, Raf
4 Waadeland, Haakon
4 Zhedanov, Alexei S.
3 Achuthan, P.
3 Chen, Gongning
3 Chen, Qiuhui
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 Gemignani, Luca
3 Gil-Fariña, María Candelaria
3 Graves-Morris, Peter R.
3 Jankowski, Peter
3 Jeannerod, Claude-Pierre
3 Jones, William Branham
3 Jooste, Alta S.
3 Kumar, Tanuj
3 López Lagomasino, Guillermo Tomás
3 Mai, Weixiong
3 McCabe, John H.
3 Prasad, Akhilesh
3 Sang, Yan-Fang
3 Sundar, Sobers
3 Tao, Ran
3 Tokarzewski, Stanisław
3 Van Assche, Walter
3 Vanraes, Evelyne
3 Vavřín, Zdeněk
3 Velázquez, Luis
3 Villard, Gilles
3 Wang, Yue
3 Wu, Jichun
2 Akçay, Hüseyin
2 Al-Musallam, Fadhel A.
2 Annaby, Mahmoud H.
2 Balasubramanian, Krishnan
2 Baratchart, Laurent
2 Belhaj, Skander
2 Boley, Daniel L.
2 Bracciali, Cleonice F.
2 Buffa, Annalisa
2 Butzer, Paul Leo
2 Cabay, Stan
2 Cachafeiro, Alicia
2 Camps, Daan
2 Chesnokov, Andrey A.
...and 487 more Authors
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Cited in 118 Serials

127 Journal of Computational and Applied Mathematics
46 Linear Algebra and its Applications
29 Journal of Approximation Theory
29 Numerical Algorithms
24 Applied Numerical Mathematics
18 Numerische Mathematik
16 Mathematics of Computation
13 Journal of Mathematical Analysis and Applications
11 Computers & Mathematics with Applications
10 Applied Mathematics and Computation
10 Computer Aided Geometric Design
9 Rocky Mountain Journal of Mathematics
9 International Journal of Wavelets, Multiresolution and Information Processing
7 Automatica
7 SIAM Journal on Matrix Analysis and Applications
6 Journal of Symbolic Computation
6 Advances in Computational Mathematics
6 Journal of Mathematical Chemistry
5 Mathematische Nachrichten
5 Proceedings of the American Mathematical Society
4 Computer Methods in Applied Mechanics and Engineering
4 Calcolo
4 Transactions of the American Mathematical Society
4 Systems & Control Letters
4 Journal of Mathematical Sciences (New York)
4 The Journal of Fourier Analysis and Applications
3 International Journal of Control
3 BIT
3 Numerical Functional Analysis and Optimization
3 Results in Mathematics
3 Circuits, Systems, and Signal Processing
3 Journal of Complexity
3 Constructive Approximation
3 Mathematical Problems in Engineering
3 Analysis (München)
3 Entropy
3 Complex Analysis and Operator Theory
2 Applicable Analysis
2 Journal of the Franklin Institute
2 Advances in Mathematics
2 Journal of Functional Analysis
2 Acta Applicandae Mathematicae
2 Mathematical and Computer Modelling
2 Signal Processing
2 Integral Transforms and Special Functions
2 Science in China. Series F
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Analysis Mathematica
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 Journal of Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Wave Motion
1 Annals of the Institute of Statistical Mathematics
1 Computing
1 Functiones et Approximatio. Commentarii Mathematici
1 International Journal of Mathematics and Mathematical Sciences
1 Integral Equations and Operator Theory
1 Journal of Econometrics
1 Journal of Statistical Planning and Inference
1 Mathematics and Computers in Simulation
1 Quaestiones Mathematicae
1 Theoretical Computer Science
1 SIAM Journal on Algebraic and Discrete Methods
1 Acta Mathematica Hungarica
1 Computational Mechanics
1 Journal of Integral Equations and Applications
1 Neural Networks
1 Designs, Codes and Cryptography
1 Computational Statistics
1 Applied Mathematical Modelling
1 Pattern Recognition
1 SIAM Journal on Mathematical Analysis
1 Mathematical Programming. Series A. Series B
1 Indagationes Mathematicae. New Series
1 Advances in Engineering Software
1 Cybernetics and Systems Analysis
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Russian Mathematics
1 Test
1 SIAM Journal on Scientific Computing
1 Communications in Numerical Methods in Engineering
1 Numerical Linear Algebra with Applications
1 Computational and Applied Mathematics
1 Engineering Analysis with Boundary Elements
1 Journal of Difference Equations and Applications
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Matematychni Metody ta Fizyko-Mekhanichni Polya
1 ELA. The Electronic Journal of Linear Algebra
1 Nonlinear Dynamics
1 Mathematical Physics, Analysis and Geometry
1 Fractional Calculus & Applied Analysis
1 Journal of the Royal Statistical Society. Series B. Statistical Methodology
1 Journal of Applied Statistics
1 International Journal of Numerical Modelling
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Archives of Computational Methods in Engineering
1 Journal of Applied Mathematics
1 Statistical Modelling
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
...and 18 more Serials
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Cited in 45 Fields

265 Numerical analysis (65-XX)
205 Approximations and expansions (41-XX)
150 Harmonic analysis on Euclidean spaces (42-XX)
93 Functions of a complex variable (30-XX)
60 Linear and multilinear algebra; matrix theory (15-XX)
56 Special functions (33-XX)
39 Systems theory; control (93-XX)
33 Operator theory (47-XX)
26 Information and communication theory, circuits (94-XX)
25 Integral transforms, operational calculus (44-XX)
23 Statistics (62-XX)
18 Partial differential equations (35-XX)
15 Sequences, series, summability (40-XX)
15 Computer science (68-XX)
10 Functional analysis (46-XX)
10 Biology and other natural sciences (92-XX)
8 Combinatorics (05-XX)
8 Ordinary differential equations (34-XX)
6 Number theory (11-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Difference and functional equations (39-XX)
5 Probability theory and stochastic processes (60-XX)
5 Mechanics of deformable solids (74-XX)
4 Algebraic geometry (14-XX)
4 Abstract harmonic analysis (43-XX)
4 Fluid mechanics (76-XX)
4 Quantum theory (81-XX)
3 Commutative algebra (13-XX)
3 Real functions (26-XX)
3 Potential theory (31-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Optics, electromagnetic theory (78-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Operations research, mathematical programming (90-XX)
2 General and overarching topics; collections (00-XX)
2 Field theory and polynomials (12-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Differential geometry (53-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Measure and integration (28-XX)
1 Integral equations (45-XX)
1 Mechanics of particles and systems (70-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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