Bultheel, Adhemar; Cruz-Barroso, Ruymán; Díaz Mendoza, Carlos Zeros of quasi-paraorthogonal polynomials and positive quadrature. (English) Zbl 1500.33006 J. Comput. Appl. Math. 407, Article ID 114039, 22 p. (2022). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 33C47 65D30 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 407, Article ID 114039, 22 p. (2022; Zbl 1500.33006) Full Text: DOI arXiv
Bultheel, Adhemar; Santos-León, Juan Carlos Properties of interpolatory quadrature with equidistant nodes on the unit circle. (English) Zbl 1384.41021 Numer. Algorithms 77, No. 2, 327-359 (2018). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A55 65D30 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{J. C. Santos-León}, Numer. Algorithms 77, No. 2, 327--359 (2018; Zbl 1384.41021) Full Text: DOI Link
Bultheel, Adhemar; Cantero, María José; Cruz-Barroso, Ruymán Matrix methods for quadrature formulas on the unit circle. A survey. (English) Zbl 1312.65033 J. Comput. Appl. Math. 284, 78-100 (2015). MSC: 65D32 41A55 30E20 65E05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 284, 78--100 (2015; Zbl 1312.65033) Full Text: DOI
Bultheel, Adhemar; Cruz-Barroso, Ruymán; Van Barel, Marc Erratum to: “On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line”. (English) Zbl 1270.65016 Calcolo 50, No. 2, 163-164 (2013). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Calcolo 50, No. 2, 163--164 (2013; Zbl 1270.65016) Full Text: DOI
Deckers, Karl; Bultheel, Adhemar Rational interpolation. II: Quadrature and convergence. (English) Zbl 1254.41003 J. Math. Anal. Appl. 397, No. 1, 124-141 (2013). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A20 65D32 PDFBibTeX XMLCite \textit{K. Deckers} and \textit{A. Bultheel}, J. Math. Anal. Appl. 397, No. 1, 124--141 (2013; Zbl 1254.41003) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Quadratures associated with pseudo-orthogonal rational functions on the real half line with poles in \([-\infty,0]\). (English) Zbl 1262.65041 J. Comput. Appl. Math. 237, 589-602 (2013). Reviewer: Ana-Maria Acu (Sibiu) MSC: 65D32 42C10 41A55 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 237, 589--602 (2013; Zbl 1262.65041) Full Text: DOI
Deckers, Karl; Bultheel, Adhemar Rational interpolation. I: Least square convergence. (English) Zbl 1254.41002 J. Math. Anal. Appl. 395, No. 2, 455-464 (2012). MSC: 41A05 93E24 65D32 PDFBibTeX XMLCite \textit{K. Deckers} and \textit{A. Bultheel}, J. Math. Anal. Appl. 395, No. 2, 455--464 (2012; Zbl 1254.41002) Full Text: DOI
Deckers, Karl; Bultheel, Adhemar; Perdomo-Pío, Francisco Rational Gauss-Radau and rational Szegő-Lobatto quadrature on the interval and the unit circle respectively. (English) Zbl 1264.41027 Jaen J. Approx. 3, No. 1, 15-66 (2011). Reviewer: Dumitru Acu (Sibiu) MSC: 41A55 42C05 65D32 PDFBibTeX XMLCite \textit{K. Deckers} et al., Jaen J. Approx. 3, No. 1, 15--66 (2011; Zbl 1264.41027)
Deckers, K.; Bultheel, A.; Van Deun, J. A generalized eigenvalue problem for quasi-orthogonal rational functions. (English) Zbl 1213.65044 Numer. Math. 117, No. 3, 463-506 (2011). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 42C05 65F15 41A55 PDFBibTeX XMLCite \textit{K. Deckers} et al., Numer. Math. 117, No. 3, 463--506 (2011; Zbl 1213.65044) Full Text: DOI Link
Bultheel, A.; Cruz-Barroso, R.; González-Vera, P.; Perdomo-Pío, F. Computation of Gauss-type quadrature formulas with some preassigned nodes. (English) Zbl 1231.41030 Jaen J. Approx. 2, No. 2, 163-191 (2010). Reviewer: Ana-Maria Acu (Sibiu) MSC: 41A55 42C05 65D30 65F15 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Jaen J. Approx. 2, No. 2, 163--191 (2010; Zbl 1231.41030)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Computation of rational Szegő-Lobatto quadrature formulas. (English) Zbl 1203.65055 Appl. Numer. Math. 60, No. 12, 1251-1263 (2010). MSC: 65D32 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Appl. Numer. Math. 60, No. 12, 1251--1263 (2010; Zbl 1203.65055) Full Text: DOI
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. Rational quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity. (English) Zbl 1203.65054 IMA J. Numer. Anal. 30, No. 4, 940-963 (2010). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{A. Bultheel} et al., IMA J. Numer. Anal. 30, No. 4, 940--963 (2010; Zbl 1203.65054) Full Text: DOI Link
Bultheel, Adhemar; Cruz-Barroso, Ruymán; Van Barel, Marc On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line. (English) Zbl 1186.65029 Calcolo 47, No. 1, 21-48 (2010); erratum ibid. 50, No. 2, 163-164 (2013). MSC: 65D32 65F15 41A55 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Calcolo 47, No. 1, 21--48 (2010; Zbl 1186.65029) Full Text: DOI Link
Bultheel, Adhemar; Cruz-Barroso, Ruymán; Deckers, Karl; González-Vera, Pablo Rational Szegő quadratures associated with Chebyshev weight functions. (English) Zbl 1204.42038 Math. Comput. 78, No. 266, 1031-1059 (2009). Reviewer: Leonid Golinskii (Kharkov) MSC: 42C05 65D32 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Math. Comput. 78, No. 266, 1031--1059 (2009; Zbl 1204.42038) Full Text: DOI
Bultheel, Adhemar; Cantero, Maria-José A matricial computation of rational quadrature formulas on the unit circle. (English) Zbl 1172.65015 Numer. Algorithms 52, No. 1, 47-68 (2009). MSC: 65D32 41A05 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{M.-J. Cantero}, Numer. Algorithms 52, No. 1, 47--68 (2009; Zbl 1172.65015) Full Text: DOI Link
Bultheel, Adhemar; Daruis, Leyla; González-Vera, Pablo Quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity. (English) Zbl 1184.41015 J. Comput. Appl. Math. 231, No. 2, 948-963 (2009). Reviewer: Jesus Illán González (Vigo) MSC: 41A55 42C05 65D32 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 231, No. 2, 948--963 (2009; Zbl 1184.41015) Full Text: DOI
Deckers, Karl; van Deun, Joris; Bultheel, Adhemar Computing rational Gauss-Chebyshev quadrature formulas with complex poles: The algorithm. (English) Zbl 1173.65018 Adv. Eng. Softw. 40, No. 8, 707-717 (2009). Reviewer: Dumitru Acu (Sibiu) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{K. Deckers} et al., Adv. Eng. Softw. 40, No. 8, 707--717 (2009; Zbl 1173.65018) Full Text: DOI
Deckers, Karl; Bultheel, Adhemar Recurrence and asymptotics for orthonormal rational functions on an interval. (English) Zbl 1159.65025 IMA J. Numer. Anal. 29, No. 1, 1-23 (2009). Reviewer: Jacek Gilewicz (Marseille) MSC: 65D20 30E10 33C47 33F05 65E05 PDFBibTeX XMLCite \textit{K. Deckers} and \textit{A. Bultheel}, IMA J. Numer. Anal. 29, No. 1, 1--23 (2009; Zbl 1159.65025) Full Text: DOI Link
Deckers, Karl; Van Deun, Joris; Bultheel, Adhemar Rational Gauss-Chebyshev quadrature formulas for complex poles outside \([-1,1]\). (English) Zbl 1136.42304 Math. Comput. 77, No. 262, 967-983 (2008). MSC: 42C05 65D32 PDFBibTeX XMLCite \textit{K. Deckers} et al., Math. Comput. 77, No. 262, 967--983 (2008; Zbl 1136.42304) Full Text: DOI
Maes, Jan; Bultheel, Adhemar Modeling sphere-like manifolds with spherical Powell-Sabin B-splines. (English) Zbl 1171.65320 Comput. Aided Geom. Des. 24, No. 2, 79-89 (2007). MSC: 65D07 65D17 68U05 PDFBibTeX XMLCite \textit{J. Maes} and \textit{A. Bultheel}, Comput. Aided Geom. Des. 24, No. 2, 79--89 (2007; Zbl 1171.65320) Full Text: DOI
Maes, Jan; Bultheel, Adhemar Smooth spline wavelets on the sphere. (English) Zbl 1130.65135 Cohen, Albert (ed.) et al., Curve and surface fitting. Avignon 2006. Proceedings 6th international conference on curves and surfaces, Avignon, France, June 29 – July 5, 2006. Brentwood: Nashboro Press (ISBN 978-0-9728482-8-2/hbk). Modern Methods in Mathematics, 200-209 (2007). MSC: 65T60 42C40 65D07 PDFBibTeX XMLCite \textit{J. Maes} and \textit{A. Bultheel}, in: Curve and surface fitting. Avignon 2006. Proceedings 6th international conference on curves and surfaces, Avignon, France, June 29 -- July 5, 2006. Brentwood: Nashboro Press. 200--209 (2007; Zbl 1130.65135)
Van Deun, J.; Bultheel, A.; González Vera, P. Computing orthogonal rational functions with poles near the boundary. (English) Zbl 1118.65018 Comput. Math. Appl. 53, No. 9, 1421-1428 (2007). MSC: 65D20 41A20 65D32 41A55 PDFBibTeX XMLCite \textit{J. Van Deun} et al., Comput. Math. Appl. 53, No. 9, 1421--1428 (2007; Zbl 1118.65018) Full Text: DOI
Maes, Jan; Bultheel, Adhemar Powell-Sabin spline prewavelets on the hexagonal lattice. (English) Zbl 1114.65165 Tao, Qian (ed.) et al., Wavelet analysis and applications. Selected papers based on the presentations at the conference (WAA 2005), Macau, China, 29th November – 2nd December 2005. With CD-ROM. Basel: Birkhäuser (ISBN 3-7643-7777-1/hbk). Applied and Numerical Harmonic Analysis, 273-283 (2007). MSC: 65T60 65D07 PDFBibTeX XMLCite \textit{J. Maes} and \textit{A. Bultheel}, in: Wavelet analysis and applications. Selected papers based on the presentations at the conference (WAA 2005), Macau, China, 29th November -- 2nd December 2005. With CD-ROM. Basel: Birkhäuser. 273--283 (2007; Zbl 1114.65165)
Maes, Jan; Bultheel, Adhemar Stable multiresolution analysis on triangles for surface compression. (English) Zbl 1112.65135 ETNA, Electron. Trans. Numer. Anal. 25, 224-258 (2006). MSC: 65T60 65D07 41A15 41A63 PDFBibTeX XMLCite \textit{J. Maes} and \textit{A. Bultheel}, ETNA, Electron. Trans. Numer. Anal. 25, 224--258 (2006; Zbl 1112.65135) Full Text: EuDML Link
van Deun, J.; Bultheel, A. A quadrature formula based on Chebyshev rational functions. (English) Zbl 1108.41020 IMA J. Numer. Anal. 26, No. 4, 641-656 (2006). Reviewer: Dumitru Acu (Sibiu) MSC: 41A55 65D32 65D30 PDFBibTeX XMLCite \textit{J. van Deun} and \textit{A. Bultheel}, IMA J. Numer. Anal. 26, No. 4, 641--656 (2006; Zbl 1108.41020) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions on the unit circle: from the scalar to the matrix case. (English) Zbl 1142.42010 Marcellán, Francisco (ed.) et al., Orthogonal polynomials and special functions. Computation and applications. Lecture notes of the 5th European summer school, Madrid, Laganés, Spain, July 8–18, 2004. Berlin: Springer (ISBN 3-540-31062-2/pbk). Lecture Notes in Mathematics 1883, 187-228 (2006). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 30E05 41A55 65D32 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Lect. Notes Math. 1883, 187--228 (2006; Zbl 1142.42010)
Maes, Jan; Bultheel, Adhemar \(C^{1}\) hierarchical Riesz bases of Lagrange type on Powell-Sabin triangulations. (English) Zbl 1097.65037 J. Comput. Appl. Math. 196, No. 1, 1-19 (2006). MSC: 65D18 35J40 65F35 65N30 65F10 PDFBibTeX XMLCite \textit{J. Maes} and \textit{A. Bultheel}, J. Comput. Appl. Math. 196, No. 1, 1--19 (2006; Zbl 1097.65037) Full Text: DOI
Maes, Jan; Bultheel, Adhemar A hierarchical basis preconditioner for the biharmonic equation on the sphere. (English) Zbl 1099.65042 IMA J. Numer. Anal. 26, No. 3, 563-583 (2006). Reviewer: Georg Hebermehl (Berlin) MSC: 65F35 65N30 35J40 65D07 65T60 PDFBibTeX XMLCite \textit{J. Maes} and \textit{A. Bultheel}, IMA J. Numer. Anal. 26, No. 3, 563--583 (2006; Zbl 1099.65042) Full Text: DOI Link
Maes, Jan; Bultheel, Adhemar Surface compression with hierarchical Powell-Sabin B-splines. (English) Zbl 1092.41005 Int. J. Wavelets Multiresolut. Inf. Process. 4, No. 1, 177-196 (2006). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 65D15 65D17 PDFBibTeX XMLCite \textit{J. Maes} and \textit{A. Bultheel}, Int. J. Wavelets Multiresolut. Inf. Process. 4, No. 1, 177--196 (2006; Zbl 1092.41005) Full Text: DOI
Van Deun, Joris; Bultheel, Adhemar; González Vera, Pablo On computing rational Gauss-Chebyshev quadrature formulas. (English) Zbl 1077.42018 Math. Comput. 75, No. 253, 307-326 (2006). MSC: 42C05 65D32 41A55 PDFBibTeX XMLCite \textit{J. Van Deun} et al., Math. Comput. 75, No. 253, 307--326 (2006; Zbl 1077.42018) Full Text: DOI
van Deun, Joris; Bultheel, Adhemar Computing orthogonal rational functions on a halfline. (English) Zbl 1216.42005 Proceedings of the fifth international conference on functional analysis and approximation theory, Acquafredda di Maratea (Potenza), Italy, June 16–23, 2004. Palermo: Circolo Matemàtico di Palermo. Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 76, 621-634 (2005). MSC: 42C05 65D05 PDFBibTeX XMLCite \textit{J. van Deun} and \textit{A. Bultheel}, Suppl. Rend. Circ. Mat. Palermo (2) 76, 621--634 (2005; Zbl 1216.42005)
Vanraes, Evelyne; Bultheel, Adhemar Modeling sharp features with tangent subdivision. (English) Zbl 1079.65517 Dæhlen, Morten (ed.) et al., Mathematical methods for curves and surfaces: Tromsø2004. Sixth international conference on mathematical methods for curves and surfaces, celebrating the 60th birthday of Tom Lyche, Tromsø, Norway, July 1–6, 2004. Brentwood, TN: Nashboro Press (ISBN 0-9728482-4-X/hbk). Modern Methods in Mathematics, 363-372 (2005). MSC: 65D18 PDFBibTeX XMLCite \textit{E. Vanraes} and \textit{A. Bultheel}, in: Mathematical methods for curves and surfaces: Tromsø\ 2004. Sixth international conference on mathematical methods for curves and surfaces, celebrating the 60th birthday of Tom Lyche, Tromsø, Norway, July 1--6, 2004. Brentwood, TN: Nashboro Press. 363--372 (2005; Zbl 1079.65517)
Van Deun, J.; Bultheel, A. The computation of orthogonal rational functions on an interval. (English) Zbl 1089.65017 J. Comput. Appl. Math. 179, No. 1-2, 355-373 (2005). Reviewer: R. S. Dahiya (Ames) MSC: 65D20 33C47 33F05 PDFBibTeX XMLCite \textit{J. Van Deun} and \textit{A. Bultheel}, J. Comput. Appl. Math. 179, No. 1--2, 355--373 (2005; Zbl 1089.65017) Full Text: DOI
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. Orthogonal rational functions on the real half line with poles in \([-\infty,0]\). (English) Zbl 1068.42022 J. Comput. Appl. Math. 179, No. 1-2, 121-155 (2005). Reviewer: Alexei Lukashov (Saratov) MSC: 42C05 65D32 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 179, No. 1--2, 121--155 (2005; Zbl 1068.42022) Full Text: DOI
Bultheel, A.; Cuyt, A.; Van Assche, W.; Van Barel, M.; Verdonk, B. Generalizations of orthogonal polynomials. (English) Zbl 1068.42021 J. Comput. Appl. Math. 179, No. 1-2, 57-95 (2005). Reviewer: Alexei Lukashov (Saratov) MSC: 42C05 11J83 15B52 65D32 41A21 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 179, No. 1--2, 57--95 (2005; Zbl 1068.42021) Full Text: DOI
Van Deun, J.; Bultheel, A. A weak-star convergence result for orthogonal rational functions. (English) Zbl 1079.42019 J. Comput. Appl. Math. 178, No. 1-2, 453-464 (2005). Reviewer: Alexei Lukashov (Saratov) MSC: 42C05 65D30 PDFBibTeX XMLCite \textit{J. Van Deun} and \textit{A. Bultheel}, J. Comput. Appl. Math. 178, No. 1--2, 453--464 (2005; Zbl 1079.42019) Full Text: DOI
Vanraes, Evelyne; Maes, Jan; Bultheel, Adhemar Powell-Sabin spline wavelets. (English) Zbl 1071.42027 Int. J. Wavelets Multiresolut. Inf. Process. 2, No. 1, 23-42 (2004). MSC: 42C40 41A30 65D07 65D17 65T60 68U07 41A15 PDFBibTeX XMLCite \textit{E. Vanraes} et al., Int. J. Wavelets Multiresolut. Inf. Process. 2, No. 1, 23--42 (2004; Zbl 1071.42027) Full Text: DOI
Vanraes, Evelyne; Windmolders, Joris; Bultheel, Adhemar; Dierckx, Paul Automatic construction of control triangles for subdivided Powell — Sabin splines. (English) Zbl 1069.41508 Comput. Aided Geom. Des. 21, No. 7, 671-682 (2004). MSC: 41A15 41A63 65D17 PDFBibTeX XMLCite \textit{E. Vanraes} et al., Comput. Aided Geom. Des. 21, No. 7, 671--682 (2004; Zbl 1069.41508) Full Text: DOI
Van Deun, J.; Bultheel, A. Moment-based algorithms for computing orthogonal rational functions. (English) Zbl 1060.65571 Simos, T. E. (ed.) et al., ICNAAM 2004. International conference on numerical analysis and applied mathematics 2004, Chalkis, Greece, September 10–14, 2004. Official conference of the European Society of Computational Methods in Science and Engineering (ESCMSE). Weinheim: Wiley-VCH (ISBN 3-527-40563-1/hbk). 432-435 (2004). MSC: 65D20 33C47 33F05 PDFBibTeX XMLCite \textit{J. Van Deun} and \textit{A. Bultheel}, in: ICNAAM 2004. International conference on numerical analysis and applied mathematics 2004, Chalkis, Greece, September 10--14, 2004. Official conference of the European Society of Computational Methods in Science and Engineering (ESCMSE). Weinheim: Wiley-VCH. 432--435 (2004; Zbl 1060.65571)
Van Deun, J.; Bultheel, A. Modified moments and orthogonal rational functions. (English) Zbl 1067.65024 ANACM, Appl. Numer. Anal. Comput. Math. 1, No. 3, 455-468 (2004). Reviewer: Luigi Gatteschi (Torino) MSC: 65D20 33C47 33F05 PDFBibTeX XMLCite \textit{J. Van Deun} and \textit{A. Bultheel}, ANACM, Appl. Numer. Anal. Comput. Math. 1, No. 3, 455--468 (2004; Zbl 1067.65024) Full Text: DOI Link
Maes, Jan; Vanraes, Evelyne; Dierckx, Paul; Bultheel, Adhemar On the stability of normalized Powell–Sabin B-splines. (English) Zbl 1045.41007 J. Comput. Appl. Math. 170, No. 1, 181-196 (2004). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 65D07 PDFBibTeX XMLCite \textit{J. Maes} et al., J. Comput. Appl. Math. 170, No. 1, 181--196 (2004; Zbl 1045.41007) Full Text: DOI
Van Deun, J.; Bultheel, A. An interpolation algorithm for orthogonal rational functions. (English) Zbl 1034.42026 J. Comput. Appl. Math. 164-165, 749-762 (2004). MSC: 42C05 65D05 PDFBibTeX XMLCite \textit{J. Van Deun} and \textit{A. Bultheel}, J. Comput. Appl. Math. 164--165, 749--762 (2004; Zbl 1034.42026) Full Text: DOI
Windmolders, Joris; Vanraes, Evelyne; Dierckx, Paul; Bultheel, Adhemar Uniform Powell-Sabin spline wavelets. (English) Zbl 1018.65155 J. Comput. Appl. Math. 154, No. 1, 125-142 (2003). MSC: 65T60 42C40 65D07 65D17 PDFBibTeX XMLCite \textit{J. Windmolders} et al., J. Comput. Appl. Math. 154, No. 1, 125--142 (2003; Zbl 1018.65155) Full Text: DOI
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. Orthogonal rational functions and tridiagonal matrices. (English) Zbl 1014.42017 J. Comput. Appl. Math. 153, No. 1-2, 89-97 (2003). MSC: 42C05 30B70 65D32 30E05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 153, No. 1--2, 89--97 (2003; Zbl 1014.42017) Full Text: DOI
Van Barel, Marc; Bultheel, Adhemar Updating and downdating of orthonormal polynomial vectors and some applications. (English) Zbl 1017.42015 Olshevsky, V. (ed.), Structured matrices in mathematics, computer science, and engineering II. Proceedings of an AMS-IMS-SIAM joint summer research conference, University of Colorado, Boulder, CO, USA, June 27-July 1, 1999. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 281, 145-162 (2001). Reviewer: Luigi Gatteschi (Torino) MSC: 42C05 41A28 41A20 30E10 65D10 PDFBibTeX XMLCite \textit{M. Van Barel} and \textit{A. Bultheel}, Contemp. Math. 281, 145--162 (2001; Zbl 1017.42015)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Interpolation by rational functions with nodes on the unit circle. (English) Zbl 0966.30031 Acta Appl. Math. 61, No. 1-3, 101-118 (2000). Reviewer: Vladimir Bolotnikov (Williamsburg) MSC: 30E05 41A25 41A05 65D30 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Acta Appl. Math. 61, No. 1--3, 101--118 (2000; Zbl 0966.30031) Full Text: DOI
Bultheel, Adhemar; Díaz-Mendoza, Carlos; González-Vera, Pablo; Orive, Ramon Estimates of the rate of convergence for certain quadrature formulas on the half-line. (English) Zbl 0939.65033 Berndt, Bruce C. (ed.) et al., Continued fractions: from analytic number theory to constructive approximation. A volume in honor of L. J. Lange. Proceedings of the conference, University of Missouri–Columbia, Columbia, MO, USA, May 20-23, 1998. Providence, RI: American Mathematical Society. Contemp. Math. 236, 85-100 (1999). MSC: 65D32 60E05 41A55 65C50 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Contemp. Math. 236, 85--100 (1999; Zbl 0939.65033)
Van Barel, Marc; Bultheel, Adhemar A lookahead algorithm for the solution of block Toeplitz systems. (English) Zbl 0885.65028 Linear Algebra Appl. 266, 291-335 (1997). Reviewer: R.P.Tewarson (Stony Brook) MSC: 65F05 65D05 PDFBibTeX XMLCite \textit{M. Van Barel} and \textit{A. Bultheel}, Linear Algebra Appl. 266, 291--335 (1997; Zbl 0885.65028) Full Text: DOI
Van Barel, Marc; Bultheel, Adhemar A generalized minimal partial realization problem. (English) Zbl 0877.93025 Linear Algebra Appl. 254, 527-551 (1997). Reviewer: M.Tibaldi (Bologna) MSC: 93B20 93B11 41A05 41A20 65D05 PDFBibTeX XMLCite \textit{M. Van Barel} and \textit{A. Bultheel}, Linear Algebra Appl. 254, 527--551 (1997; Zbl 0877.93025) Full Text: DOI
Van Barel, M.; Bultheel, A. Orthonormal polynomial vectors and least squares approximation for a discrete inner product. (English) Zbl 0857.42013 ETNA, Electron. Trans. Numer. Anal. 3, 1-23 (1995). MSC: 42C05 65D10 30E10 41A28 41A20 PDFBibTeX XMLCite \textit{M. Van Barel} and \textit{A. Bultheel}, ETNA, Electron. Trans. Numer. Anal. 3, 1--23 (1995; Zbl 0857.42013) Full Text: EuDML EMIS
Bultheel, Adhemar; Van Barel, Marc Vector orthogonal polynomials and least squares approximation. (English) Zbl 0824.41016 SIAM J. Matrix Anal. Appl. 16, No. 3, 863-885 (1995). MSC: 41A20 65F25 65D05 65D15 30E10 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{M. Van Barel}, SIAM J. Matrix Anal. Appl. 16, No. 3, 863--885 (1995; Zbl 0824.41016) Full Text: DOI
Bultheel, Adhemar; Van Barel, Marc Some applications of the Euclidean algorithm. (English) Zbl 0847.65006 Bainov, D. (ed.) et al., Proceedings of the second international colloquium on numerical analysis, Plovdiv, Bulgaria, August 13-17, 1993. Utrecht: VSP. 45-54 (1994). MSC: 65D15 65F10 65F15 94A29 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{M. Van Barel}, in: Proceedings of the second international colloquium on numerical analysis, Plovdiv, Bulgaria, August 13-17, 1993. Utrecht: VSP. 45--54 (1994; Zbl 0847.65006)
Van Barel, Marc; Bultheel, Adhemar Discrete linearized least-squares rational approximation on the unit circle. (English) Zbl 0810.65011 J. Comput. Appl. Math. 50, No. 1-3, 545-563 (1994). Reviewer: D.Braess (Bochum) MSC: 65D15 65D05 65Y05 41A20 PDFBibTeX XMLCite \textit{M. Van Barel} and \textit{A. Bultheel}, J. Comput. Appl. Math. 50, No. 1--3, 545--563 (1994; Zbl 0810.65011) Full Text: DOI
Levrie, Paul; Bultheel, Adhemar A note on Thiele \(n\)-fractions. (English) Zbl 0764.41011 Numer. Algorithms 4, No. 3, 225-239 (1993). MSC: 41A20 41A21 65D15 PDFBibTeX XMLCite \textit{P. Levrie} and \textit{A. Bultheel}, Numer. Algorithms 4, No. 3, 225--239 (1993; Zbl 0764.41011) Full Text: DOI
Van Barel, M.; Bultheel, A. A general module theoretic framework for vector M-Padé and matrix rational interpolation. (English) Zbl 0780.41014 Numer. Algorithms 3, No. 1-4, 451-461 (1992). MSC: 41A21 41A20 65D15 PDFBibTeX XMLCite \textit{M. Van Barel} and \textit{A. Bultheel}, Numer. Algorithms 3, No. 1--4, 451--461 (1992; Zbl 0780.41014) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions and quadrature on the unit circle. (English) Zbl 0786.42011 Numer. Algorithms 3, No. 1-4, 105-116 (1992). Reviewer: L.Lorentzen (Trondheim) MSC: 42C05 30C99 41A55 65D32 30E10 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Numer. Algorithms 3, No. 1--4, 105--116 (1992; Zbl 0786.42011) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav A Favard theorem for orthogonal rational functions on the unit circle. (English) Zbl 0786.42010 Numer. Algorithms 3, No. 1-4, 81-89 (1992). Reviewer: L.Lorentzen (Trondheim) MSC: 42C05 30C99 65D99 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Numer. Algorithms 3, No. 1--4, 81--89 (1992; Zbl 0786.42010) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav The computation of orthogonal rational functions and their interpolating properties. (English) Zbl 0758.65009 Numer. Algorithms 2, No. 1, 85-114 (1992). Reviewer: R.S.Dahiya (Ames) MSC: 65D20 41A20 42C05 30D50 65Q05 33C45 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Numer. Algorithms 2, No. 1, 85--114 (1992; Zbl 0758.65009) Full Text: DOI
Van Barel, Marc; Bultheel, Adhemar A parallel algorithm for discrete least squares rational approximation. (English) Zbl 0762.41016 Numer. Math. 63, No. 1, 99-121 (1992). MSC: 41A20 65D15 65Y05 PDFBibTeX XMLCite \textit{M. Van Barel} and \textit{A. Bultheel}, Numer. Math. 63, No. 1, 99--121 (1992; Zbl 0762.41016) Full Text: DOI EuDML
Van Barel, Marc; Bultheel, Adhemar A new formal approach to the rational interpolation problem. (English) Zbl 0765.65016 Numer. Math. 62, No. 1, 87-122 (1992). Reviewer: L.Gatteschi (Torino) MSC: 65D15 41A20 41A05 41A21 PDFBibTeX XMLCite \textit{M. Van Barel} and \textit{A. Bultheel}, Numer. Math. 62, No. 1, 87--122 (1992; Zbl 0765.65016) Full Text: DOI EuDML
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonality and quadrature on the unit circle. (English) Zbl 0830.30022 Brezinski, Claude (ed.) et al., Orthogonal polynomials and their applications. Proceedings of the third international symposium held in Erice, Italy, June 1-8, 1990. Basel: J. C. Baltzer, IMACS Ann. Comput. Appl. Math. 9, 205-210 (1991). MSC: 30E05 41A55 33C45 42C05 41A21 65D32 PDFBibTeX XMLCite \textit{A. Bultheel} et al., IMACS Ann. Comput. Appl. Math. 9, 205--210 (1991; Zbl 0830.30022)
Van Barel, Marc; Bultheel, Adhemar The computation of non-perfect Padé-Hermite approximants. (English) Zbl 0753.65013 Numer. Algorithms 1, No. 3, 285-304 (1991). Reviewer: Sun Yongsheng (Beijing) MSC: 65D15 41A21 PDFBibTeX XMLCite \textit{M. Van Barel} and \textit{A. Bultheel}, Numer. Algorithms 1, No. 3, 285--304 (1991; Zbl 0753.65013) Full Text: DOI
Xu, Guo Liang; Bultheel, A. The problem of matrix Padé approximation. (English) Zbl 0939.41513 Law, A. G. (ed.) et al., Approximation, optimization and computing: theory and applications. Amsterdam: North-Holland. 217-220 (1990). MSC: 41A21 65D15 PDFBibTeX XMLCite \textit{G. L. Xu} and \textit{A. Bultheel}, in: Approximation, optimization and computing: theory and applications. Amsterdam: North-Holland. 217--220 (1990; Zbl 0939.41513)
Bultheel, Adhemar Zeros of a rational function defined by its Laurent expansion. (English) Zbl 0546.30023 Padé approximation and its applications, Proc. Conf., Bad Honnef/Ger. 1983, Lect. Notes Math. 1071, 34-48 (1984). MSC: 30D30 41A21 65D15 65F40 47B35 PDFBibTeX XML
Bultheel, Adhemar Algorithms to compute the reflection coefficients of digital filters. (English) Zbl 0534.65005 Numerical methods of approximation theory, Vol. 7, Workshop Oberwolfach 1983, ISNM 67, 33-50 (1984). MSC: 65D15 41A21 PDFBibTeX XML
Bultheel, Adhemar On a special Laurent-Hermite interpolation problem. (English) Zbl 0484.41021 Numerical methods of approximation theory, Vol. 6, Workshop Oberwolfach 1981, ISNM, Int. Ser. Numer. Math. 59, 63-79 (1982). MSC: 41A20 65D15 30E05 PDFBibTeX XML
Bultheel, A.; Wuytack, L. Stability of numerical methods for computing Padé approximants. (English) Zbl 0485.65014 Approximation theory III, Proc. Conf. Hon. G. G. Lorentz, Austin/Tex. 1980, 267-272 (1980). MSC: 65D15 41A21 65F35 PDFBibTeX XML
Bultheel, Adhemar; Dewilde, Patrick On the relation between Padé approximation algorithms and Levinson/Schur recursive methods. (English) Zbl 0461.65012 Signal processing: theories and applications, Proc. Conf., Lausanne 1980, 517-523 (1980). MSC: 65D15 62M20 41A21 93E10 PDFBibTeX XML
Bultheel, A. Division algorithms for continued fractions and the Padé table. (English) Zbl 0445.65012 J. Comput. Appl. Math. 6, 259-266 (1980). MSC: 65D15 30B70 40A15 41A21 65B10 PDFBibTeX XMLCite \textit{A. Bultheel}, J. Comput. Appl. Math. 6, 259--266 (1980; Zbl 0445.65012) Full Text: DOI
Bultheel, A. Recursive algorithms for nonnormal Padé tables. (English) Zbl 0445.65011 SIAM J. Appl. Math. 39, 106-118 (1980). MSC: 65D15 30B70 40A15 41A21 65B10 PDFBibTeX XMLCite \textit{A. Bultheel}, SIAM J. Appl. Math. 39, 106--118 (1980; Zbl 0445.65011) Full Text: DOI Link
Bultheel, Adhemar Recursive algorithms for the matrix Padé problem. (English) Zbl 0442.41017 Math. Comput. 35, 875-892 (1980). MSC: 41A21 65D30 PDFBibTeX XMLCite \textit{A. Bultheel}, Math. Comput. 35, 875--892 (1980; Zbl 0442.41017) Full Text: DOI
Bultheel, A. Remark on ”A new look at the Padé table and different methods for computing its elements”. (English) Zbl 0399.65009 J. Comput. Appl. Math. 5, 67 (1979). MSC: 65D15 41A21 PDFBibTeX XML