Bultheel, Adhemar; Díaz Mendoza, Carlos Extremal polynomials on the unit circle with preassigned zeros and two-point partial Padé approximation. (English) Zbl 07750651 J. Comput. Appl. Math. 437, Article ID 115480, 13 p. (2024). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A21 30E10 31A15 30C15 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{C. Díaz Mendoza}, J. Comput. Appl. Math. 437, Article ID 115480, 13 p. (2024; Zbl 07750651) Full Text: DOI
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; Cruz-Barroso, Ruyman; Lasarow, Andreas Orthogonal rational functions on the unit circle with prescribed poles not on the unit circle. (English) Zbl 1402.30027 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 090, 49 p. (2017). Reviewer: Vladimir V. Peller (East Lansing) MSC: 30D15 30E05 42C05 44A60 PDFBibTeX XMLCite \textit{A. Bultheel} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 090, 49 p. (2017; Zbl 1402.30027) Full Text: DOI arXiv
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 (ed.); López-Lagomasino, Guillermo (ed.); Marcellán, Francisco (ed.); Njåstad, Olav (ed.); Orive, Ramón (ed.) Foreword to the proceedings of the OrthoQuad 2014 conference. (English) Zbl 1310.00041 J. Comput. Appl. Math. 284, 1-9 (2015). MSC: 00B25 00B30 PDFBibTeX XMLCite \textit{A. Bultheel} (ed.) et al., J. Comput. Appl. Math. 284, 1--9 (2015; Zbl 1310.00041) 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; 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.; González-Vera, P.; Hendriksen, E.; Njåstad, O. Natural solutions of rational Stieltjes moment problems. (English) Zbl 1211.44006 J. Math. Anal. Appl. 377, No. 2, 571-583 (2011). Reviewer: Isabel Marrero (La Laguna) MSC: 44A60 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Math. Anal. Appl. 377, No. 2, 571--583 (2011; Zbl 1211.44006) Full Text: DOI
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; Lasarow, Andreas On the existence of para-orthogonal rational functions on the unit circle. (English) Zbl 1257.42036 Analysis, München 30, No. 3, 301-316 (2010). MSC: 42C05 33C99 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{A. Lasarow}, Analysis, München 30, No. 3, 301--316 (2010; Zbl 1257.42036) Full Text: DOI Link
Bultheel, Adhemar; Lasarow, Andreas Schur-Nevanlinna-Potapov sequences of rational matrix functions. (English) Zbl 1222.47017 J. Comput. Appl. Math. 235, No. 4, 927-949 (2010). Reviewer: Birgit Jacob (Wuppertal) MSC: 47A56 42C05 30E05 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{A. Lasarow}, J. Comput. Appl. Math. 235, No. 4, 927--949 (2010; Zbl 1222.47017) Full Text: DOI
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; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions. Reprint of the 1999 hardback ed. (English) Zbl 1205.42024 Cambridge Monographs on Applied and Computational Mathematics 5. Cambridge: Cambridge University Press (ISBN 978-0-521-11591-9/pbk). xiv, 407 p. (2009). MSC: 42C05 33C45 33-02 42-02 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Orthogonal rational functions. Reprint of the 1999 hardback ed. Cambridge: Cambridge University Press (2009; Zbl 1205.42024)
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; Bultheel, Adhemar Orthogonal rational functions with complex poles: The Favard theorem. (English) Zbl 1165.30002 J. Math. Anal. Appl. 356, No. 2, 764-768 (2009). MSC: 30C15 PDFBibTeX XMLCite \textit{K. Deckers} and \textit{A. Bultheel}, J. Math. Anal. Appl. 356, No. 2, 764--768 (2009; Zbl 1165.30002) 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; Bultheel, Adhemar Associated rational functions based on a three-term recurrence relation for orthogonal rational functions. (English) Zbl 1229.42027 IAENG, Int. J. Appl. Math. 38, No. 4, 214-222 (2008). MSC: 42C05 PDFBibTeX XMLCite \textit{K. Deckers} and \textit{A. Bultheel}, IAENG, Int. J. Appl. Math. 38, No. 4, 214--222 (2008; Zbl 1229.42027)
Bultheel, Adhemar; Lasarow, Andreas Solution of a multiple Nevanlinna-Pick problem for Schur functions via orthogonal rational functions. (English) Zbl 1132.30342 Analysis, München 28, No. 1, 95-123 (2008). MSC: 30E05 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{A. Lasarow}, Analysis, München 28, No. 1, 95--123 (2008; Zbl 1132.30342) Full Text: DOI
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
Bultheel, Adhemar; Lasarow, Andreas Schur-Nevanlinna sequences of rational functions. (English) Zbl 1152.30037 Proc. Edinb. Math. Soc., II. Ser. 50, No. 3, 571-596 (2007). Reviewer: H.-J. Glaeske (Jena) MSC: 30E05 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{A. Lasarow}, Proc. Edinb. Math. Soc., II. Ser. 50, No. 3, 571--596 (2007; Zbl 1152.30037) Full Text: DOI
Deckers, Karl; Van Deun, Joris; Bultheel, Adhemar An extended relation between orthogonal rational functions on the unit circle and the interval \([ - 1,1]\). (English) Zbl 1117.30030 J. Math. Anal. Appl. 334, No. 2, 1260-1275 (2007). Reviewer: Jacek Gilewicz (Marseille) MSC: 30E10 42C05 PDFBibTeX XMLCite \textit{K. Deckers} et al., J. Math. Anal. Appl. 334, No. 2, 1260--1275 (2007; Zbl 1117.30030) 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)
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)
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, Olav Separation of zeros of para-orthogonal rational functions. (English) Zbl 1129.42406 Rev. Acad. Canar. Cienc. 16(2004), No. 1-2, 9-14 (2005). MSC: 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Rev. Acad. Canar. Cienc. 16, No. 1--2, 9--14 (2005; Zbl 1129.42406)
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
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
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
Bultheel, A.; Díaz-Mendoza, C.; González-Vera, P.; Orive, R. Orthogonal Laurent polynomials and quadrature formulas for unbounded intervals. I: Gauss-type formulas. (English) Zbl 1040.41012 Rocky Mt. J. Math. 33, No. 2, 585-608 (2003). MSC: 41A55 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Rocky Mt. J. Math. 33, No. 2, 585--608 (2003; Zbl 1040.41012) Full Text: DOI
Bultheel, A.; Carrette, P. Algebraic and spectral properties of general Toeplitz matrices. (English) Zbl 1042.42014 SIAM J. Control Optimization 41, No. 5, 1413-1439 (2003). Reviewer: Alexei Lukashov (Saratov) MSC: 42C05 42C15 47B35 93E12 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{P. Carrette}, SIAM J. Control Optim. 41, No. 5, 1413--1439 (2003; Zbl 1042.42014) Full Text: DOI
Van Deun, J.; Bultheel, A. Ratio asymptotics for orthogonal rational functions on an interval. (English) Zbl 1027.42018 J. Approximation Theory 123, No. 2, 162-172 (2003). MSC: 42C05 41A60 30C15 30D50 41A20 PDFBibTeX XMLCite \textit{J. Van Deun} and \textit{A. Bultheel}, J. Approx. Theory 123, No. 2, 162--172 (2003; Zbl 1027.42018) Full Text: DOI
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, Olav Orthogonal rational functions and quadrature on the real half line. (English) Zbl 1049.42012 J. Complexity 19, No. 3, 212-230 (2003). Reviewer: Walter Van Assche (Leuven) MSC: 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Complexity 19, No. 3, 212--230 (2003; Zbl 1049.42012) Full Text: DOI
Van Deun, J.; Bultheel, A. Orthogonal rational functions and quadrature on an interval. (English) Zbl 1016.41015 J. Comput. Appl. Math. 153, No. 1-2, 487-495 (2003). Reviewer: Luigi Gatteschi (Torino) MSC: 41A55 42C05 PDFBibTeX XMLCite \textit{J. Van Deun} and \textit{A. Bultheel}, J. Comput. Appl. Math. 153, No. 1--2, 487--495 (2003; Zbl 1016.41015) 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
Bultheel, A.; Gonzalez-Vera, P.; Hendriksen, E.; Njåstad, Olav A rational Stieltjes moment problem. (English) Zbl 1055.30031 Appl. Math. Comput. 128, No. 2-3, 217-235 (2002). Reviewer: Elena E. Berdysheva (Stuttgart) MSC: 30E05 44A60 42C05 30E10 41A21 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Appl. Math. Comput. 128, No. 2--3, 217--235 (2002; Zbl 1055.30031) 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; Gonzalez-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions and continued fractions. (English) Zbl 0995.42017 Bustoz, Joaquin (ed.) et al., Special functions 2000: current perspective and future directions. Proceedings of the NATO Advanced Study Institute, Tempe, AZ, USA, May 29-June 9, 2000. Dordrecht: Kluwer Academic Publishers. NATO Sci. Ser. II, Math. Phys. Chem. 30, 87-109 (2001). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 30B70 30E05 41A21 33C45 PDFBibTeX XMLCite \textit{A. Bultheel} et al., NATO Sci. Ser. II, Math. Phys. Chem. 30, 87--109 (2001; Zbl 0995.42017)
Van Gucht, P.; Bultheel, A. Bernstein equiconvergence and Fejér-type theorems for general rational Fourier series. (English) Zbl 0993.42011 J. Comput. Appl. Math. 133, No. 1-2, 635-645 (2001). Reviewer: Alexei Lukashov (Saratov) MSC: 42C10 PDFBibTeX XMLCite \textit{P. Van Gucht} and \textit{A. Bultheel}, J. Comput. Appl. Math. 133, No. 1--2, 635--645 (2001; Zbl 0993.42011) Full Text: DOI
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. Determinacy of a rational moment problem. (English) Zbl 0997.44005 J. Comput. Appl. Math. 133, No. 1-2, 241-252 (2001). Reviewer: C.L.Parihar (Indore) MSC: 44A60 42C05 30E05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 133, No. 1--2, 241--252 (2001; Zbl 0997.44005) Full Text: DOI
Bultheel, Adhemar; Daruis, Leyla; González-Vera, Pablo A connection between quadrature formulas on the unit circle and the interval \([-1,1]\). (English) Zbl 0985.41021 J. Comput. Appl. Math. 132, No. 1, 1-14 (2001). Reviewer: Václav Burjan (Praha) MSC: 41A55 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 132, No. 1, 1--14 (2001; Zbl 0985.41021) Full Text: DOI
Bultheel, Adhemar; Van Gucht, Patrick Boundary asymptotics for orthogonal rational functions on the unit circle. (English) Zbl 0969.42012 Acta Appl. Math. 61, No. 1-3, 333-349 (2000). Reviewer: Walter Van Assche (Leuven) MSC: 42C05 42A10 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{P. Van Gucht}, Acta Appl. Math. 61, No. 1--3, 333--349 (2000; Zbl 0969.42012) Full Text: DOI
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, O. Orthogonal rational functions and interpolatory product rules on the unit circle. III: Convergence of general sequences. (English) Zbl 0979.41019 Analysis, München 20, No. 2, 99-120 (2000). Reviewer: Václav Burjan (Praha) MSC: 41A55 33C45 41A21 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Analysis, München 20, No. 2, 99--120 (2000; Zbl 0979.41019) Full Text: DOI
Bultheel, A.; González-Vera, P. Rational wavelets on the real line. (English) Zbl 0965.42023 Numer. Funct. Anal. Optimization 21, No. 1-2, 77-96 (2000). Reviewer: Manfred Tasche (Rostock) MSC: 42C40 42C05 46E22 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{P. González-Vera}, Numer. Funct. Anal. Optim. 21, No. 1--2, 77--96 (2000; Zbl 0965.42023) Full Text: DOI Link
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Elements of a theory of orthogonal rational functions. (English) Zbl 1029.42019 Rev. Acad. Canar. Cienc. 11, No. 1-2, 127-152 (1999). MSC: 42C05 41A20 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Rev. Acad. Canar. Cienc. 11, No. 1--2, 127--152 (1999; Zbl 1029.42019)
Bultheel, Adhemar; González-Vera, Pablo Wavelets by orthogonal rational kernels. (English) Zbl 0944.42025 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, 101-126 (1999). Reviewer: Gerlind Plonka (Duisburg) MSC: 42C40 42C05 46E22 42A38 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{P. González-Vera}, Contemp. Math. 236, 101--126 (1999; Zbl 0944.42025)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav A density problem for orthogonal rational functions. (English) Zbl 0944.30021 J. Comput. Appl. Math. 105, No. 1-2, 199-212 (1999). Reviewer: Váslaw Burjan (Praha) MSC: 30E05 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 105, No. 1--2, 199--212 (1999; Zbl 0944.30021) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions. (English) Zbl 0923.42017 Cambridge Monographs on Applied and Computational Mathematics. 5. Cambridge: Cambridge University Press. xiv, 407 p. (1999). Reviewer: Mihai Putinar (Santa Barbara) MSC: 42C05 33C45 33-02 42-02 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Orthogonal rational functions. Cambridge: Cambridge University Press (1999; Zbl 0923.42017)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Continued fractions and orthogonal rational functions. (English) Zbl 0930.30004 Jones, William B. (ed.) et al., Orthogonal functions, moment theory, and continued fractions: theory and applications. Proceedings of a research conference/workshop, Campinas, São Paulo, Brazil, June 19–28, 1996. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 199, 69-100 (1998). Reviewer: Guillermo López Lagomasino (Leganes) MSC: 30B70 30E15 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Lect. Notes Pure Appl. Math. 199, 69--100 (1998; Zbl 0930.30004)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions and interpolatory product rules on the unit circle. II: Quadrature and convergence. (English) Zbl 0929.30027 Analysis, München 18, No. 2, 185-200 (1998). Reviewer: Váslaw Burjan (Praha) MSC: 30E05 33C45 41A20 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Analysis, München 18, No. 2, 185--200 (1998; Zbl 0929.30027)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions and interpolatory product rules on the unit circle. I: Recurrence and interpolation. (English) Zbl 0929.30026 Analysis, München 18, No. 2, 167-183 (1998). Reviewer: L.Lorentzen (Trondheim) MSC: 30E05 33C45 41A05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Analysis, München 18, No. 2, 167--183 (1998; Zbl 0929.30026)
Bultheel, A.; Díaz-Mendoza, C.; González-Vera, P.; Orive, R. Quadrature on the half-line and two-point Padé approximants to Stieltjes functions. II: Convergence. (English) Zbl 0865.41017 J. Comput. Appl. Math. 77, No. 1-2, 53-76 (1997). MSC: 41A21 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 77, No. 1--2, 53--76 (1997; Zbl 0865.41017) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav A Favard theorem for rational functions with poles on the unit circle. (English) Zbl 0893.33004 East J. Approx. 3, No. 1, 21-37 (1997). Reviewer: D.Dryanov (Sofia) MSC: 33C45 42C05 30E05 30C10 PDFBibTeX XMLCite \textit{A. Bultheel} et al., East J. Approx. 3, No. 1, 21--37 (1997; Zbl 0893.33004)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav A rational moment problem on the unit circle. (English) Zbl 0905.30030 Methods Appl. Anal. 4, No. 3, 283-310 (1997). Reviewer: J.Bustamante González (Puebla) MSC: 30E05 42C10 42A99 47A57 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Methods Appl. Anal. 4, No. 3, 283--310 (1997; Zbl 0905.30030) Full Text: DOI
Bultheel, Adhemar; Van Barel, Marc Linear algebra, rational approximation and orthogonal polynomials. (English) Zbl 0890.65024 Studies in Computational Mathematics. 6. Amsterdam: North-Holland. 446 p. (1997). Reviewer: W.Gander (Zürich) MSC: 65Fxx 65-02 41-02 15-02 41A20 41A21 42C05 11A05 16W60 15B57 40A20 65T50 44A60 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{M. Van Barel}, Linear algebra, rational approximation and orthogonal polynomials. Amsterdam: North-Holland (1997; Zbl 0890.65024)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions and nested disks. (English) Zbl 0878.42012 J. Approximation Theory 89, No. 3, 344-371 (1997). Reviewer: G.López Lagomasino (Leganes) MSC: 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Approx. Theory 89, No. 3, 344--371 (1997; Zbl 0878.42012) Full Text: DOI Link
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, A.; González-Vera, P.; Orive, R. Quadrature on the half-line and two-point Padé approximants to Stieltjes functions. I. Algebraic aspects. (English) Zbl 0847.41015 J. Comput. Appl. Math. 65, No. 1-3, 57-72 (1995). MSC: 41A21 41A55 30E05 34E05 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 65, No. 1--3, 57--72 (1995; Zbl 0847.41015) Full Text: DOI
Bultheel, Adhemar; Van Barel, Marc Formal orthogonal polynomials and Hankel/Toeplitz duality. (English) Zbl 0867.42012 Numer. Algorithms 10, No. 3-4, 289-335 (1995). Reviewer: L.Gatteschi (Torino) MSC: 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{M. Van Barel}, Numer. Algorithms 10, No. 3--4, 289--335 (1995; Zbl 0867.42012) Full Text: DOI
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; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Convergence of modified approximants associated with orthogonal rational functions. (English) Zbl 0898.42008 J. Comput. Appl. Math. 57, No. 1-2, 77-86 (1995). MSC: 42C05 41A20 30E10 41A30 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 57, No. 1--2, 77--86 (1995; Zbl 0898.42008) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Favard theorem for reproducing kernels. (English) Zbl 0851.30001 J. Comput. Appl. Math. 57, No. 1-2, 57-76 (1995). Reviewer: A.Bultheel (Leuven) MSC: 30C15 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 57, No. 1--2, 57--76 (1995; Zbl 0851.30001) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Convergence of orthogonal rational functions. (English) Zbl 0872.33006 Ali, Rosihan M. (ed.) et al., Computational methods and function theory 1994. Proceedings of the conference, Penang, Malaysia, March 21–25, 1994. Singapore: World Scientific. Ser. Approx. Decompos. 5, 111-123 (1995). Reviewer: J.Müller (Trier) MSC: 33C45 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Ser. Approx. Decompos. 5, 111--123 (1995; Zbl 0872.33006)
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)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Asymptotics for orthogonal rational functions. (English) Zbl 0814.42012 Trans. Am. Math. Soc. 346, No. 1, 307-329 (1994). MSC: 42C05 30B70 30D50 41A20 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Trans. Am. Math. Soc. 346, No. 1, 307--329 (1994; Zbl 0814.42012) Full Text: DOI
Bultheel, Adhemar; Van Barel, Marc Linear prediction: Mathematics and engineering. (English) Zbl 0792.94001 Bull. Belg. Math. Soc. - Simon Stevin 1, No. 1, 1-58 (1994). MSC: 94A12 93E11 65F05 94-01 41A20 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{M. Van Barel}, Bull. Belg. Math. Soc. - Simon Stevin 1, No. 1, 1--58 (1994; Zbl 0792.94001) Full Text: EuDML
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Recurrence relations for orthogonal functions. (English) Zbl 0813.30007 Cooper, Clement S. (ed.) et al., Continued fractions and orthogonal functions: theory and applications. Proceedings, 4th workshop, held in Loen, Norway, June 21 - July 4, 1992. Basel: Dekker. Lect. Notes Pure Appl. Math. 154, 23-46 (1994). Reviewer: L.Lorentzen (Trondheim) MSC: 30B70 42C05 33C45 39A10 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Lect. Notes Pure Appl. Math. 154, 23--46 (1994; Zbl 0813.30007)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions with poles on the unit circle. (English) Zbl 0796.33003 J. Math. Anal. Appl. 182, No. 1, 221-243 (1994). Reviewer: J.Gilewicz (Marseille) MSC: 33C45 30C10 41A20 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Math. Anal. Appl. 182, No. 1, 221--243 (1994; Zbl 0796.33003) Full Text: DOI Link
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Moment problems and orthogonal functions. (English) Zbl 0795.33003 J. Comput. Appl. Math. 48, No. 1-2, 49-68 (1993). Reviewer: H.Stahl (Berlin) MSC: 33C45 42C05 30E05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 48, No. 1--2, 49--68 (1993; Zbl 0795.33003) Full Text: DOI
Van Melkebeek, Dieter; Bultheel, Adhemar Block orthogonal systems for symmetric \(P\)-forms. (English) Zbl 0790.42014 J. Comput. Appl. Math. 49, No. 1-3, 305-315 (1993). MSC: 42C05 PDFBibTeX XMLCite \textit{D. Van Melkebeek} and \textit{A. Bultheel}, J. Comput. Appl. Math. 49, No. 1--3, 305--315 (1993; Zbl 0790.42014) 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
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)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions similar to Szegö polynomials. (English) Zbl 0829.42020 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, 195-204 (1991). MSC: 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., IMACS Ann. Comput. Appl. Math. 9, 195--204 (1991; Zbl 0829.42020)
Bultheel, A. Error analysis of incoming and outgoing schemes for the trigonometric moment problem. (English) Zbl 0474.65027 Pade approximation and its applications, Proc. Conf., Amsterdam 1980, Lect. Notes Math. 888, 100-109 (1981). MSC: 65F30 65T40 42A70 93E11 41A21 33C45 PDFBibTeX XML
Bultheel, A. Orthogonal matrix functions related to the multivariable Nevanlinna-Pick problem. (English) Zbl 0458.42016 Bull. Soc. Math. Belg., Sér. B 32, 149-170 (1980). MSC: 42C05 42A82 41A20 93E11 41A05 30C40 30D50 PDFBibTeX XMLCite \textit{A. Bultheel}, Bull. Soc. Math. Belg., Sér. B 32, 149--170 (1980; Zbl 0458.42016)
Bultheel, A.; Dewilde, Patrick Orthogonal functions related to the Nevanlinna-Pick problem. (English) Zbl 0503.42020 Mathematical theory of networks and systems, int. Symp., Delft 1979, Vol. 3, 207-212 (1979). MSC: 42C05 PDFBibTeX XML