Brezinski, Claude; Redivo-Zaglia, Michela Extrapolation and rational approximation. The works of the main contributors. (English) Zbl 1477.65006 Cham: Springer (ISBN 978-3-030-58417-7/hbk; 978-3-030-58420-7/pbk; 978-3-030-58418-4/ebook). viii, 406 p. (2020). Reviewer: Manfred Tasche (Rostock) MSC: 65-02 65-03 65B05 40A15 41A20 65F10 65H10 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{M. Redivo-Zaglia}, Extrapolation and rational approximation. The works of the main contributors. Cham: Springer (2020; Zbl 1477.65006) Full Text: DOI
Brezinski, Claude; Driver, Kathy A.; Redivo-Zaglia, Michela Zeros of quadratic quasi-orthogonal order 2 polynomials. (English) Zbl 1507.33008 Appl. Numer. Math. 135, 143-145 (2019). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{C. Brezinski} et al., Appl. Numer. Math. 135, 143--145 (2019; Zbl 1507.33008) Full Text: DOI
Brezinski, C. Nonlinear functional equations satisfied by orthogonal polynomials. (English) Zbl 1209.42015 J. Approx. Theory 162, No. 12, 2290-2302 (2010). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{C. Brezinski}, J. Approx. Theory 162, No. 12, 2290--2302 (2010; Zbl 1209.42015) Full Text: DOI
Brezinski, Claude Triangular recursive schemes, sequence transformations, ratios of determinants, and Schur complements in approximation. (English) Zbl 1080.65510 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, 27-38 (2005). MSC: 65D05 65D32 65D07 PDFBibTeX XMLCite \textit{C. Brezinski}, 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. 27--38 (2005; Zbl 1080.65510)
Brezinski, C.; Driver, K. A.; Redivo-Zaglia, M. Quasi-orthogonality with applications to some families of classical orthogonal polynomials. (English) Zbl 1047.33002 Appl. Numer. Math. 48, No. 2, 157-168 (2004). Reviewer: Aleksey A. Dovgoshey (Donetsk) MSC: 33C45 PDFBibTeX XMLCite \textit{C. Brezinski} et al., Appl. Numer. Math. 48, No. 2, 157--168 (2004; Zbl 1047.33002) Full Text: DOI
Brezinski, C.; Zaglia, M. Redivo A Schur complement approach to a general extrapolation algorithm. (English) Zbl 1027.65001 Linear Algebra Appl. 368, 279-301 (2003). Reviewer: Antonio López-Carmona (Granada) MSC: 65B05 65D07 65D15 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{M. R. Zaglia}, Linear Algebra Appl. 368, 279--301 (2003; Zbl 1027.65001) Full Text: DOI
Brezinski, C. An introduction to formal orthogonality and some of its applications. (English) Zbl 1047.42020 RACSAM, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 96, No. 2, 157-173 (2002). MSC: 42C05 41A21 65F10 65B05 PDFBibTeX XMLCite \textit{C. Brezinski}, RACSAM, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 96, No. 2, 157--173 (2002; Zbl 1047.42020) Full Text: EuDML
Brezinski, C.; Redivo Zaglia, M.; Sadok, H. A review of formal orthogonality in Lanczos-based methods. (English) Zbl 0996.65031 J. Comput. Appl. Math. 140, No. 1-2, 81-98 (2002). MSC: 65F10 65F35 PDFBibTeX XMLCite \textit{C. Brezinski} et al., J. Comput. Appl. Math. 140, No. 1--2, 81--98 (2002; Zbl 0996.65031) Full Text: DOI
Brezinski, C.; Redivo-Zaglia, M. Variations on Lanczos’ tridiagonalization process. (English) Zbl 0973.65032 Calcolo 37, No. 3, 159-179 (2000). Reviewer: A.Meister (Hamburg) MSC: 65F30 65F10 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{M. Redivo-Zaglia}, Calcolo 37, No. 3, 159--179 (2000; Zbl 0973.65032) Full Text: DOI
Brezinski, C.; Redivo-Zaglia, M.; Sadok, H. The matrix and polynomial approaches to Lanczos-type algorithms. (English) Zbl 0964.65030 J. Comput. Appl. Math. 123, No. 1-2, 241-260 (2000). Reviewer: Peter Reichensperger (Oberasbach) MSC: 65F10 PDFBibTeX XMLCite \textit{C. Brezinski} et al., J. Comput. Appl. Math. 123, No. 1--2, 241--260 (2000; Zbl 0964.65030) Full Text: DOI
Brezinski, C.; Redivo-Zaglia, M. Transpose-free Lanczos-type algorithms for nonsymmetric linear systems. (English) Zbl 0907.65031 Numer. Algorithms 17, No. 1-2, 67-103 (1998). Reviewer: Petko Hr.Petkov (Sofia) MSC: 65F10 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{M. Redivo-Zaglia}, Numer. Algorithms 17, No. 1--2, 67--103 (1998; Zbl 0907.65031) Full Text: DOI
Brezinski, C.; Redivo Zaglia, M.; Sadok, H. Problems of breakdown and near-breakdown in Lanczos-based algorithms. (English) Zbl 0897.65033 Winter Althaus, G. (ed.) et al., Algorithms for large scale linear algebraic systems. Applications in science and engineering. Proceedings, Gran Canaria, Spain, June 23 - July 6, 1996. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 508, 255-270 (1998). MSC: 65F30 33C45 65F15 65D20 65F10 PDFBibTeX XMLCite \textit{C. Brezinski} et al., NATO ASI Ser., Ser. C, Math. Phys. Sci. 508, 255--270 (1998; Zbl 0897.65033)
Brezinski, C.; Redivo-Zaglia, M. On the zeros of various kinds of orthogonal polynomials. (English) Zbl 0885.30005 Ann. Numer. Math. 4, No. 1-4, 67-78 (1997). Reviewer: N.Hayek (La Laguna) MSC: 30C15 33C45 41A21 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{M. Redivo-Zaglia}, Ann. Numer. Math. 4, No. 1--4, 67--78 (1997; Zbl 0885.30005)
Brezinski, C.; Redivo-Zaglia, M.; Sadok, H. Breakdowns in the implementation of the Lánczos method for solving linear systems. (English) Zbl 0871.65025 Comput. Math. Appl. 33, No. 1-2, 31-44 (1997). Reviewer: P.Y.Yalamov (Russe) MSC: 65F10 PDFBibTeX XMLCite \textit{C. Brezinski} et al., Comput. Math. Appl. 33, No. 1--2, 31--44 (1997; Zbl 0871.65025) Full Text: DOI
Brezinski, Claude; Musschoot, C. Biorthogonal polynomials and the bordering method for linear systems. (English) Zbl 0848.65016 Rend. Semin. Mat. Fis. Milano 64(1994), 85-98 (1996). Reviewer: Th.Sonar (Hamburg) MSC: 65F05 65D20 42C05 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{C. Musschoot}, Rend. Semin. Mat. Fis. Milano 64, 85--98 (1996; Zbl 0848.65016) Full Text: DOI
Brezinski, C. (ed.); Varga, R. S. (ed.) Orthogonal polynomials and numerical analysis. Proceedings of the international conference, Luminy, France, September 5-10, 1994. (English) Zbl 0843.00043 Numer. Algorithms 11, No. 1-4, 354 p. (1996). MSC: 00B25 65-06 33-06 PDFBibTeX XML
Brezinski, C.; Redivo-Zaglia, M. A look-ahead strategy for the implementation of some old and new extrapolation methods. (English) Zbl 0851.65002 Numer. Algorithms 11, No. 1-4, 35-55 (1996). Reviewer: P.Wynn (Mexico) MSC: 65B05 42C05 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{M. Redivo-Zaglia}, Numer. Algorithms 11, No. 1--4, 35--55 (1996; Zbl 0851.65002) Full Text: DOI
Brezinski, C.; Maroni, P. The algebra of linear functionals on polynomials, with applications to Padé approximation. (English) Zbl 0862.42016 Numer. Algorithms 11, No. 1-4, 25-33 (1996). Reviewer: L.Gatteschi (Torino) MSC: 42C05 41A21 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{P. Maroni}, Numer. Algorithms 11, No. 1--4, 25--33 (1996; Zbl 0862.42016) Full Text: DOI
Brezinski, C. Formal orthogonality on an algebraic curve. (English) Zbl 0855.42015 Ann. Numer. Math. 2, No. 1-4, 21-33 (1995). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 PDFBibTeX XMLCite \textit{C. Brezinski}, Ann. Numer. Math. 2, No. 1--4, 21--33 (1995; Zbl 0855.42015)
Brezinski, C. (ed.); Maroni, P. (ed.); van Iseghem, J. (ed.) Proceedings of the 4th international symposium on orthogonal polynomials and their applications, October 19-23, 1992, Evian-Les Bains, France. (English) Zbl 0818.00019 J. Comput. Appl. Math. 57, No. 1-2, 322 p. (1995). MSC: 00B25 41-06 42-06 PDFBibTeX XMLCite \textit{C. Brezinski} (ed.) et al., J. Comput. Appl. Math. 57, No. 1--2, 322 p. (1995; Zbl 0818.00019) Full Text: DOI
Brezinski, C.; van Iseghem, J. Vector orthogonal polynomials of dimension \(-d\). (English) Zbl 0821.42015 Zahar, R. V. M. (ed.), Approximation and computation: a Festschrift in honor of Walter Gautschi. Proceedings of the Purdue conference, West Lafayette, IN, USA, December 2-5, 1993. Boston, US: Birkhäuser. ISNM, Int. Ser. Numer. Math. 119, 29-39 (1994). Reviewer: A.Bultheel (Leuven) MSC: 42C05 65Q05 15A63 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{J. van Iseghem}, ISNM, Int. Ser. Numer. Math. 119, 29--39 (1994; Zbl 0821.42015)
Brezinski, C.; Redivo-Zaglia, M. Breakdowns in the computation of orthogonal polynomials. (English) Zbl 0812.65008 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, 49-59 (1994). Reviewer: D.Braess (Bochum) MSC: 65D20 42C05 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{M. Redivo-Zaglia}, Math. Appl., Dordr. 296, 49--59 (1994; Zbl 0812.65008)
Brezinski, C.; Redivo-Zaglia, M. Treatment of near-breakdown in the CGS algorithm. (English) Zbl 0810.65028 Numer. Algorithms 7, No. 1, 33-73 (1994). Reviewer: J.Zítko (Praha) MSC: 65F10 65F25 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{M. Redivo-Zaglia}, Numer. Algorithms 7, No. 1, 33--73 (1994; Zbl 0810.65028) Full Text: DOI
Brezinski, C.; Cecchi, M. Morandi; Redivo-Zaglia, M. The reverse bordering method. (English) Zbl 0812.65017 SIAM J. Matrix Anal. Appl. 15, No. 3, 922-937 (1994). Reviewer: W.Gander (Zürich) MSC: 65F05 65B05 65D20 PDFBibTeX XMLCite \textit{C. Brezinski} et al., SIAM J. Matrix Anal. Appl. 15, No. 3, 922--937 (1994; Zbl 0812.65017) Full Text: DOI
Brezinski, C.; Redivo-Zaglia, M. Orthogonal polynomials of dimension \(-1\) in the non-definite case. (English) Zbl 0798.42012 Rend. Mat. Appl., VII. Ser. 14, No. 1, 127-133 (1994). MSC: 42C05 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{M. Redivo-Zaglia}, Rend. Mat. Appl., VII. Ser. 14, No. 1, 127--133 (1994; Zbl 0798.42012)
Brezinski, C.; Sadok, H.; Redivo Zaglia, M. Orthogonal polynomials and the Lanczos method. (English) Zbl 0802.65029 Kowalski, Jan Krzysztof (ed.) et al., Numerical analysis and mathematical modelling. Warszawa: Polish Academy of Sciences, Inst. of Mathematics, Banach Cent. Publ. 29, 19-33 (1994). Reviewer: A.Swift (Palmerston North) MSC: 65F10 65F25 42C05 PDFBibTeX XMLCite \textit{C. Brezinski} et al., Banach Cent. Publ. 29, 19--33 (1994; Zbl 0802.65029)
Brezinski, Claude; Matos, Ana C. Least-squares orthogonal polynomials. (English) Zbl 0774.65009 J. Comput. Appl. Math. 46, No. 1-2, 229-239 (1993). Reviewer: D.Braess (Bochum) MSC: 65D20 41A21 33C45 42C05 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{A. C. Matos}, J. Comput. Appl. Math. 46, No. 1--2, 229--239 (1993; Zbl 0774.65009) Full Text: DOI
Brezinski, Claude; Sadok, Hassane Lanczos-type algorithms for solving systems of linear equations. (English) Zbl 0780.65020 Appl. Numer. Math. 11, No. 6, 443-473 (1993). Reviewer: R.Blaheta (Ostrava) MSC: 65F10 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{H. Sadok}, Appl. Numer. Math. 11, No. 6, 443--473 (1993; Zbl 0780.65020) Full Text: DOI
Brezinski, C.; Redivo Zaglia, M.; Sadok, H. A breakdown-free Lanczos type algorithm for solving linear systems. (English) Zbl 0739.65027 Numer. Math. 63, No. 1, 29-38 (1992). MSC: 65F10 65F25 PDFBibTeX XMLCite \textit{C. Brezinski} et al., Numer. Math. 63, No. 1, 29--38 (1992; Zbl 0739.65027) Full Text: DOI EuDML
Brezinski, Claude A unified approach to various orthogonalities. (English) Zbl 0773.42016 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 1, No. 3, 277-292 (1992). Reviewer: H.Stahl (Berlin) MSC: 42C05 PDFBibTeX XMLCite \textit{C. Brezinski}, Ann. Fac. Sci. Toulouse, Math. (6) 1, No. 3, 277--292 (1992; Zbl 0773.42016) Full Text: DOI Numdam EuDML
Brezinski, Claude (ed.); Gori, Laura (ed.); Ronveaux, André (ed.) Orthogonal polynomials and their applications. Proceedings of the third international symposium held in Erice, Italy, June 1-8, 1990. (English) Zbl 0812.00027 IMACS Annals on Computing and Applied Mathematics. 9. Basel: J. C. Baltzer, xii, 431 p. (1991). MSC: 00B25 41-06 42-06 PDFBibTeX XMLCite \textit{C. Brezinski} (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 (1991; Zbl 0812.00027)
Brezinski, C.; Redivo Zaglia, M.; Sadok, H. Avoiding breakdown and near-breakdown in Lanczos type algorithms. (English) Zbl 0748.65033 Numer. Algorithms 1, No. 3, 261-284 (1991). Reviewer: F.Luban (Bucureşti) MSC: 65F15 65F10 65F25 PDFBibTeX XMLCite \textit{C. Brezinski} et al., Numer. Algorithms 1, No. 3, 261--284 (1991; Zbl 0748.65033) 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
Brezinski, Claude; Sadok, Hassane Avoiding breakdown in the CGS algorithm. (English) Zbl 0766.65024 Numer. Algorithms 1, No. 2, 199-206 (1991). Reviewer: Y.Shokin (Krasnoyarsk) MSC: 65F10 PDFBibTeX XMLCite \textit{C. Brezinski} and \textit{H. Sadok}, Numer. Algorithms 1, No. 2, 199--206 (1991; Zbl 0766.65024) Full Text: DOI
Brezinski, Claude Generalizations of the Christoffel-Darboux identity for adjacent families of orthogonal polynomials. (English) Zbl 0767.42006 Appl. Numer. Math. 8, No. 3, 193-199 (1991). Reviewer: M.G.de Bruin (Haarlem) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{C. Brezinski}, Appl. Numer. Math. 8, No. 3, 193--199 (1991; Zbl 0767.42006) Full Text: DOI
Brezinski, Claude A direct proof of the Christoffel-Darboux identity and its equivalence to the recurrence relationship. (English) Zbl 0714.33006 J. Comput. Appl. Math. 32, No. 1-2, 17-25 (1990). Reviewer: M.G.de Bruin MSC: 33C45 PDFBibTeX XMLCite \textit{C. Brezinski}, J. Comput. Appl. Math. 32, No. 1--2, 17--25 (1990; Zbl 0714.33006) Full Text: DOI
Brezinski, Claude Orthogonal and Stieltjes polynomials with respect to an even functional. (English) Zbl 0703.33006 Rend. Semin. Mat., Torino 45, No. 3, 75-82 (1987). Reviewer: N.M.Temme MSC: 33C45 41A21 65D32 PDFBibTeX XMLCite \textit{C. Brezinski}, Rend. Semin. Mat., Torino 45, No. 3, 75--82 (1987; Zbl 0703.33006)
Brezinski, C. (ed.); Draux, A. (ed.); Magnus, A. P. (ed.); Marino, P. (ed.); Ronveaux, A. (ed.) Polynômes orthogonaux et applications. Proceedings of the Laguerre Symposium held at Bar-le-Duc, France, October 15-18, 1984. (French) Zbl 0572.00007 Lecture Notes in Mathematics. 1171. Berlin etc.: Springer-Verlag. XXXVII, 584 p. DM 92.00 (1985). MSC: 00B25 41-06 PDFBibTeX XML
Brezinski, C. The Mühlbach-Neville-Aitken algorithm and some extensions. (English) Zbl 0462.65006 BIT, Nord. Tidskr. Inf.-behandl. 20, 444-451 (1980). MSC: 65D05 65B05 41A05 41A20 41A21 41A45 PDFBibTeX XMLCite \textit{C. Brezinski}, BIT, Nord. Tidskr. Inf.-behandl. 20, 444--451 (1980; Zbl 0462.65006) Full Text: DOI
Brezinski, Claude Padé-type approximation and general orthogonal polynomials. (English) Zbl 0418.41012 ISNM. International Series of Numerical Mathematics, Vol. 50. Basel - Boston - Stuttgart: Birkhäuser Verlag. 250 p. (1980). MSC: 41A21 33C45 PDFBibTeX XMLCite \textit{C. Brezinski}, Padé-type approximation and general orthogonal polynomials. Basel - Boston - Stuttgart: Birkhäuser Verlag (1980; Zbl 0418.41012)
Brezinski, C. Padé approximants and orthogonal polynomials. (English) Zbl 0368.41008 Pade and ration. Approx., Theory and Appl., Proc. int. Symp. Tampa/Florida 1976, 3-14 (1977). MSC: 41A20 42C10 PDFBibTeX XML
Brezinski, Claude Sur les polynômes associes à une famille de polynômes orthogonaux. (French) Zbl 0356.42016 C. R. Acad. Sci., Paris, Sér. A 284, 1041-1044 (1977). MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{C. Brezinski}, C. R. Acad. Sci., Paris, Sér. A 284, 1041--1044 (1977; Zbl 0356.42016)