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; Mendoza, Carlos Díaz Two-point Padé approximation to Herglotz-Riesz transforms. (English) Zbl 1528.41032 Numer. Algorithms 92, No. 1, 269-299 (2023). MSC: 41A21 30C15 41A25 30E10 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{C. D. Mendoza}, Numer. Algorithms 92, No. 1, 269--299 (2023; Zbl 1528.41032) 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, 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
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, Olav Positivity of continued fractions associated with rational Stieltjes moment problems. (English) Zbl 1053.30005 Rocky Mt. J. Math. 33, No. 2, 609-627 (2003). Reviewer: Marcel G. de Bruin (Delft) MSC: 30B70 41A21 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Rocky Mt. J. Math. 33, No. 2, 609--627 (2003; Zbl 1053.30005) 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
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)
Bultheel, A.; González-Vera, P.; Hendriksen, E.; Njåstad, Olav Quadrature and orthogonal rational functions. (English) Zbl 0970.41020 J. Comput. Appl. Math. 127, No. 1-2, 67-91 (2001). Reviewer: Marcel G.de Bruin (Delft) MSC: 41A55 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 127, No. 1--2, 67--91 (2001; Zbl 0970.41020) 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.; Díaz-Mendoza, C.; González-Vera, P.; Orive, R. On the convergence of certain Gauss-type quadrature formulas for unbounded intervals. (English) Zbl 0941.41015 Math. Comput. 69, No. 230, 721-747 (2000). Reviewer: J.Illán González (Vigo) MSC: 41A55 41A21 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Math. Comput. 69, No. 230, 721--747 (2000; Zbl 0941.41015) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Rates of convergence of multipoint rational approximants and quadrature formulas on the unit circle. (English) Zbl 0867.41012 J. Comput. Appl. Math. 77, No. 1-2, 77-101 (1997). Reviewer: J.Gilewicz (Marseille) MSC: 41A21 41A05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 77, No. 1--2, 77--101 (1997; Zbl 0867.41012) Full Text: DOI
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, A.; Díaz-Mendoza, C.; González-Vera, P.; Orive, R. Quadrature on the half line and two-point Padé approximants to Stieltjes functions. III: The unbounded case. (English) Zbl 0891.41011 J. Comput. Appl. Math. 87, No. 1, 95-117 (1997). Reviewer: J.Gilewicz (Marseille) MSC: 41A21 PDFBibTeX XMLCite \textit{A. Bultheel} et al., J. Comput. Appl. Math. 87, No. 1, 95--117 (1997; Zbl 0891.41011) 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 On the convergence of multipoint Padé-type approximants and quadrature formulas associated with the unit circle. (English) Zbl 0864.41016 Numer. Algorithms 13, No. 3-4, 321-344 (1996). MSC: 41A21 30E05 41A55 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Numer. Algorithms 13, No. 3--4, 321--344 (1996; Zbl 0864.41016) Full Text: DOI
De Samblanx, Gorik; Van Barel, Marc; Bultheel, Adhemar Duality in vector Padé-Hermite approximation problems. (English) Zbl 0851.41016 J. Comput. Appl. Math. 66, No. 1-2, 153-166 (1996). MSC: 41A21 41A28 PDFBibTeX XMLCite \textit{G. De Samblanx} et al., J. Comput. Appl. Math. 66, No. 1--2, 153--166 (1996; Zbl 0851.41016) Full Text: DOI
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions and modified approximants. (English) Zbl 0845.30025 Numer. Algorithms 11, No. 1-4, 57-69 (1996). Reviewer: A.Martínez Finkelshtein (Almeria) MSC: 30E05 41A21 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Numer. Algorithms 11, No. 1--4, 57--69 (1996; Zbl 0845.30025) Full Text: DOI
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
van Barel, Marc; Bultheel, Adhemar A look-ahead method for computing vector Padé-Hermite approximants. (English) Zbl 0841.41012 Constructive Approximation 11, No. 4, 455-476 (1995). MSC: 41A21 65F05 PDFBibTeX XMLCite \textit{M. van Barel} and \textit{A. Bultheel}, Constr. Approx. 11, No. 4, 455--476 (1995; Zbl 0841.41012) 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)
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Quadrature formulas on the unit circle and two-point Padé approximation. (English) Zbl 0803.41036 Cuyt, Annie (ed.), Nonlinear numerical methods and rational approximation II. Proceedings of the 3rd International Conference, held at the University of Antwerp, Belgium, 5-11 September 1993. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 296, 303-317 (1994). MSC: 41A55 41A21 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Math. Appl., Dordr. 296, 303--317 (1994; Zbl 0803.41036)
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
Xu, Guoliang; Bultheel, A. Matrix Padé approximation: Recursive computations. (English) Zbl 0761.65037 J. Comput. Math. 10, No. 3, 254-262 (1992). Reviewer: R.P.Tewarson (Stony Brook) MSC: 65F30 41A21 PDFBibTeX XMLCite \textit{G. Xu} and \textit{A. Bultheel}, J. Comput. Math. 10, No. 3, 254--262 (1992; Zbl 0761.65037)
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
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
Van Barel, Marc; Bultheel, Adhemar A new approach to the rational interpolation problem. (English) Zbl 0715.41018 J. Comput. Appl. Math. 32, No. 1-2, 281-289 (1990). MSC: 41A20 41A05 PDFBibTeX XMLCite \textit{M. Van Barel} and \textit{A. Bultheel}, J. Comput. Appl. Math. 32, No. 1--2, 281--289 (1990; Zbl 0715.41018) Full Text: DOI
Bultheel, Adhemar; Van Barel, Marc Minimal vector Padé approximation. (English) Zbl 0711.41003 J. Comput. Appl. Math. 32, No. 1-2, 27-37 (1990). MSC: 41A21 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{M. Van Barel}, J. Comput. Appl. Math. 32, No. 1--2, 27--37 (1990; Zbl 0711.41003) Full Text: DOI
Xu, Guo-liang; Bultheel, Adhemar Matrix Padé approximation: Definitions and properties. (English) Zbl 0704.41011 Linear Algebra Appl. 137-138, 67-136 (1990). MSC: 41A21 PDFBibTeX XMLCite \textit{G.-l. Xu} and \textit{A. Bultheel}, Linear Algebra Appl. 137--138, 67--136 (1990; Zbl 0704.41011) 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)
Van Barel, Marc; Bultheel, Adhemar Minimal Padé-sense matrix approximations around \(s=0\) and \(s=\infty\). (English) Zbl 0662.41016 Nonlinear numerical methods and rational approximation, Proc. Conf., Antwerp/Belgium 1987, Math. Appl., D. Reidel Publ. Co. 43, 143-154 (1988). MSC: 41A21 PDFBibTeX XML
van Barel, M.; Bultheel, A. An algebraic method to solve the minimal partial realization problem for scalar sequences. (English) Zbl 0651.15011 Linear Algebra Appl. 104, 117-129 (1988). Reviewer: J.D.Dixon MSC: 15A23 41A21 PDFBibTeX XMLCite \textit{M. van Barel} and \textit{A. Bultheel}, Linear Algebra Appl. 104, 117--129 (1988; Zbl 0651.15011) Full Text: DOI
Bultheel, Adhemar Laurent series and their Padé approximations. (English) Zbl 0624.30005 Operator Theory: Advances and Applications, Vol. 27. Basel-Boston: Birkhäuser Verlag. XI, 274 p.; DM 106.00 (1987). Reviewer: J.Karlsson MSC: 30B70 30B50 41A21 30-02 65F30 PDFBibTeX XML
Bultheel, Adhemar The asymptotic behavior of Toeplitz determinants generated by the Laurent coefficients of a meromorphic function. (English) Zbl 0569.41026 SIAM J. Algebraic Discrete Methods 6, 624-629 (1985). MSC: 41A60 47B35 30E10 PDFBibTeX XMLCite \textit{A. Bultheel}, SIAM J. Algebraic Discrete Methods 6, 624--629 (1985; Zbl 0569.41026) Full Text: DOI Link
Bultheel, A. On the block structure of the Laurent-Padé table. (English) Zbl 0552.41010 Rational approximation and interpolation, Proc. Conf., Tampa/Fla. 1983, Lect. Notes Math. 1105, 160-169 (1984). MSC: 41A21 41A20 PDFBibTeX XML
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, A. Recursive relations for block Hankel and Toeplitz systems. II: Dual recursions. (English) Zbl 0539.65022 J. Comput. Appl. Math. 10, 329-354 (1984). Reviewer: R.P.Tewarson MSC: 65F30 65F05 41A21 PDFBibTeX XMLCite \textit{A. Bultheel}, J. Comput. Appl. Math. 10, 329--354 (1984; Zbl 0539.65022) Full Text: DOI
Bultheel, A. Recursive relations for block Hankel and Toeplitz systems. Part I: Direct recursions. (English) Zbl 0539.65021 J. Comput. Appl. Math. 10, 301-328 (1984). Reviewer: R.P.Tewarson MSC: 65F30 65F05 41A21 PDFBibTeX XMLCite \textit{A. Bultheel}, J. Comput. Appl. Math. 10, 301--328 (1984; Zbl 0539.65021) Full Text: DOI
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, A. Applications of Padé approximants and continued fractions in systems theory. (English) Zbl 0532.93027 Mathematical theory of networks and systems, Proc. int. Symp., Beer Sheva/Isr. 1983, Lect. Notes Control Inf. Sci. 58, 130-148 (1984). MSC: 93C05 30B70 41A21 62M20 93B15 93B20 93C35 93D99 93E11 PDFBibTeX XML
Bultheel, A. Low displacement-rank problems in 2-D Padé approximation. (English) Zbl 0545.41021 Outils et modèles mathématiques pour l’automatique, l’analyse de systèmes et le traitement du signal, Vol. 2, Trav. Rech. Coop. Programme 567, 563-576 (1982). Reviewer: M.G.de Bruin MSC: 41A21 41A20 65F10 PDFBibTeX XML
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.; 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. Recursive algorithms for the Padé table: two approaches. (English) Zbl 0432.41013 Pade approximation and its applications, Proc. Conf., Antwerp 1979, Lect. Notes Math. 765, 211-230 (1979). MSC: 41A21 41-04 41-06 PDFBibTeX XML
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