Veronese, Daniel O.; Silva, Jairo S.; Pereira, Junior A. Quasi-symmetric orthogonal polynomials on the real line: moments, quadrature rules and invariance under Christoffel modifications. (English) Zbl 1524.42053 Comput. Appl. Math. 42, No. 3, Paper No. 123, 22 p. (2023). MSC: 42C05 41A55 65D32 PDFBibTeX XMLCite \textit{D. O. Veronese} et al., Comput. Appl. Math. 42, No. 3, Paper No. 123, 22 p. (2023; Zbl 1524.42053) Full Text: DOI
Sidki, S.; Sadaka, R.; Benazzouz, A. Computing recursive orthogonal polynomial with Schur complements. (English) Zbl 1524.65099 J. Comput. Appl. Math. 373, Article ID 112406, 17 p. (2020). MSC: 65D20 42C05 65B05 65F99 PDFBibTeX XMLCite \textit{S. Sidki} et al., J. Comput. Appl. Math. 373, Article ID 112406, 17 p. (2020; Zbl 1524.65099) Full Text: DOI
Chakir, Y.; Abouir, J.; Benouahmane, B. Multivariate homogeneous two-point Padé approximants and continued fractions. (English) Zbl 1449.41010 Comput. Appl. Math. 39, No. 1, Paper No. 15, 16 p. (2020). MSC: 41A21 41A20 65D15 PDFBibTeX XMLCite \textit{Y. Chakir} et al., Comput. Appl. Math. 39, No. 1, Paper No. 15, 16 p. (2020; Zbl 1449.41010) Full Text: DOI
Draux, André; Sadik, Mohamed; Moalla, Borhane Markov-Bernstein inequalities for generalized Gegenbauer weight. (English) Zbl 1231.41009 Appl. Numer. Math. 61, No. 12, 1301-1321 (2011). MSC: 41A17 PDFBibTeX XMLCite \textit{A. Draux} et al., Appl. Numer. Math. 61, No. 12, 1301--1321 (2011; Zbl 1231.41009) Full Text: DOI
Draux, André; Sadik, Mohamed \(qd\) block algorithm. (English) Zbl 1208.65048 Appl. Numer. Math. 60, No. 12, 1300-1308 (2010). Reviewer: Michael Jung (Dresden) MSC: 65F15 65F50 15B57 PDFBibTeX XMLCite \textit{A. Draux} and \textit{M. Sadik}, Appl. Numer. Math. 60, No. 12, 1300--1308 (2010; Zbl 1208.65048) Full Text: DOI
Allouche, Hassane; Cuyt, Annie Reliable root detection with the qd-algorithm: When Bernoulli, Hadamard and Rutishauser cooperate. (English) Zbl 1203.65081 Appl. Numer. Math. 60, No. 12, 1188-1208 (2010). MSC: 65H04 65E05 30C15 30E10 30D30 PDFBibTeX XMLCite \textit{H. Allouche} and \textit{A. Cuyt}, Appl. Numer. Math. 60, No. 12, 1188--1208 (2010; Zbl 1203.65081) Full Text: DOI
Allouche, H.; Marhraoui, N. Numerical solution of singular regular boundary value problems by pole detection with qd-algorithm. (English) Zbl 1173.65051 J. Comput. Appl. Math. 233, No. 2, 420-436 (2009). MSC: 65L10 34B05 PDFBibTeX XMLCite \textit{H. Allouche} and \textit{N. Marhraoui}, J. Comput. Appl. Math. 233, No. 2, 420--436 (2009; Zbl 1173.65051) Full Text: DOI
Draux, André; Moalla, Borhane; Sadik, Mohamed Generalized qd algorithm and Markov-Bernstein inequalities for Jacobi weight. (English) Zbl 1179.33010 Numer. Algorithms 51, No. 4, 429-447 (2009). Reviewer: Alexei Lukashov (Istanbul) MSC: 33C45 26D05 65F15 42C05 PDFBibTeX XMLCite \textit{A. Draux} et al., Numer. Algorithms 51, No. 4, 429--447 (2009; Zbl 1179.33010) Full Text: DOI
Nakamura, Yoshimasa Continued fractions and integrable systems. (English) Zbl 0998.37019 Harnad, John (ed.) et al., Isomonodromic deformations and applications in physics. CRM workshop, Montréal, Canada, May 1-6, 2000. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 31, 163-173 (2002). Reviewer: Marcel G.de Bruin (Delft) MSC: 37K10 40A15 30B70 33C45 PDFBibTeX XMLCite \textit{Y. Nakamura}, in: Isomonodromic deformations and applications in physics. CRM workshop, Montréal, Canada, May 1--6, 2000. Providence, RI: American Mathematical Society (AMS). 163--173 (2002; Zbl 0998.37019)
Parlett, Beresford N. For tridiagonals \(T\) replace \(T\) with \(LDL\). (English) Zbl 0970.65032 J. Comput. Appl. Math. 123, No. 1-2, 117-130 (2000). Reviewer: R.P.Tewarson (Stony Brook) MSC: 65F15 65F05 PDFBibTeX XMLCite \textit{B. N. Parlett}, J. Comput. Appl. Math. 123, No. 1--2, 117--130 (2000; Zbl 0970.65032) Full Text: DOI
da Rocha, Zélia QD-algorithms and recurrence relations for biorthogonal polynomials. (English) Zbl 0938.42013 J. Comput. Appl. Math. 107, No. 1, 53-72 (1999). Reviewer: Marcel G.de Bruin (Delft) MSC: 42C05 41A21 PDFBibTeX XMLCite \textit{Z. da Rocha}, J. Comput. Appl. Math. 107, No. 1, 53--72 (1999; Zbl 0938.42013) Full Text: DOI
Salam, A. Vector Padé-type approximants and vector Padé approximants. (English) Zbl 0921.41007 J. Approximation Theory 97, No. 1, 92-112 (1999). Reviewer: A.Bultheel (Leuven) MSC: 41A21 PDFBibTeX XMLCite \textit{A. Salam}, J. Approx. Theory 97, No. 1, 92--112 (1999; Zbl 0921.41007) Full Text: DOI
Salam, A. Formal vector orthogonal polynomials. (English) Zbl 0906.42013 Adv. Comput. Math. 8, No. 3, 267-289 (1998). Reviewer: A.Bultheel (Leuven) MSC: 42C05 41A21 PDFBibTeX XMLCite \textit{A. Salam}, Adv. Comput. Math. 8, No. 3, 267--289 (1998; Zbl 0906.42013) Full Text: DOI
von Matt, Urs The orthogonal qd-algorithm. (English) Zbl 0895.65014 SIAM J. Sci. Comput. 18, No. 4, 1163-1186 (1997). Reviewer: F.Luban (Bucureşti) MSC: 65F20 65F15 PDFBibTeX XMLCite \textit{U. von Matt}, SIAM J. Sci. Comput. 18, No. 4, 1163--1186 (1997; Zbl 0895.65014) Full Text: DOI
Draux, André; Moalla, Borhane Rectangular matrix Padé approximants and square matrix orthogonal polynomials. (English) Zbl 0884.41011 Numer. Algorithms 14, No. 4, 321-341 (1997). Reviewer: M.G.de Bruin (Delft) MSC: 41A21 33C45 42C05 65D20 PDFBibTeX XMLCite \textit{A. Draux} and \textit{B. Moalla}, Numer. Algorithms 14, No. 4, 321--341 (1997; Zbl 0884.41011) Full Text: DOI
von Matt, U. The orthogonal \(qd\)-algorithm. (English) Zbl 0826.65026 Moonen, Marc (ed.) et al., SVD and signal processing III: algorithms, architectures and applications. Based on contributions presented at the 3rd international workshop on SVD and signal processing, Leuven (Belgium), 22-25 August 1994. Amsterdam: Elsevier. 99-106 (1995). MSC: 65F15 65F20 PDFBibTeX XMLCite \textit{U. von Matt}, in: SVD and signal processing III: algorithms, architectures and applications. Based on contributions presented at the 3rd international workshop on SVD and signal processing, Leuven (Belgium), 22-25 August 1994. Amsterdam: Elsevier. 99--106 (1995; Zbl 0826.65026)
van Iseghem, J. Recurrence relations in the table of vector orthogonal polynomials. (English) Zbl 0815.42011 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, 61-69 (1994). Reviewer: M.G.de Bruin (Delft) MSC: 42C05 41A21 PDFBibTeX XMLCite \textit{J. van Iseghem}, Math. Appl., Dordr. 296, 61--69 (1994; Zbl 0815.42011)
Le Ferrand, Hervé Vector orthogonal polynomials and matrix series. (English) Zbl 0771.65022 J. Comput. Appl. Math. 45, No. 3, 267-282 (1993). Reviewer: J.Albrycht (Poznań) MSC: 65F30 15A54 PDFBibTeX XMLCite \textit{H. Le Ferrand}, J. Comput. Appl. Math. 45, No. 3, 267--282 (1993; Zbl 0771.65022) Full Text: DOI
Gutknecht, Martin H. A completed theory of the unsymmetric Lanczos process and related algorithms. I. (English) Zbl 0760.65039 SIAM J. Matrix Anal. Appl. 13, No. 2, 594-639 (1992). Reviewer: H.Matthies (Hamburg) MSC: 65F15 65F10 41A21 PDFBibTeX XMLCite \textit{M. H. Gutknecht}, SIAM J. Matrix Anal. Appl. 13, No. 2, 594--639 (1992; Zbl 0760.65039) Full Text: DOI
Brezinski, C.; Redivo Zaglia, M. A new presentation of orthogonal polynomials with applications to their computation. (English) Zbl 0752.65011 Numer. Algorithms 1, No. 2, 207-221 (1991). Reviewer: Xie Shenquan (Xiangtan) MSC: 65D20 65Q05 33C45 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{M. Redivo Zaglia}, Numer. Algorithms 1, No. 2, 207--221 (1991; Zbl 0752.65011) Full Text: DOI
van Iseghem, J. Vector orthogonal relations. Vector QD-algorithm. (English) Zbl 0626.65013 J. Comput. Appl. Math. 19, 141-150 (1987). Reviewer: J.Šmíd MSC: 65D15 41A21 PDFBibTeX XMLCite \textit{J. van Iseghem}, J. Comput. Appl. Math. 19, 141--150 (1987; Zbl 0626.65013) Full Text: DOI