Pozza, Stefano; Pranić, Miroslav The Gauss quadrature for general linear functionals, Lanczos algorithm, and minimal partial realization. (English) Zbl 1486.65030 Numer. Algorithms 88, No. 2, 647-678 (2021). MSC: 65D30 65D32 PDFBibTeX XMLCite \textit{S. Pozza} and \textit{M. Pranić}, Numer. Algorithms 88, No. 2, 647--678 (2021; Zbl 1486.65030) Full Text: DOI arXiv
Ullah, Zakir; Farooq, Muhammad; Salhi, Abdellah \(A_{19}/B_6\): a new Lanczos-type algorithm and its implementation. (English) Zbl 1448.65024 J. Prime Res. Math. 11, 106-122 (2015). MSC: 65F10 PDFBibTeX XMLCite \textit{Z. Ullah} et al., J. Prime Res. Math. 11, 106--122 (2015; Zbl 1448.65024) Full Text: Link
Farooq, Muhammad; Salhi, Abdellah A new Lanczos-type algorithm for systems of linear equations. (English) Zbl 1448.65023 J. Prime Res. Math. 10, 104-119 (2014). MSC: 65F10 PDFBibTeX XMLCite \textit{M. Farooq} and \textit{A. Salhi}, J. Prime Res. Math. 10, 104--119 (2014; Zbl 1448.65023) Full Text: Link
Farooq, Muhammad; Salhi, Abdellah New recurrence relationships between orthogonal polynomials which lead to new Lanczos-type algorithms. (English) Zbl 1274.65093 J. Prime Res. Math. 8, 61-75 (2012). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 PDFBibTeX XMLCite \textit{M. Farooq} and \textit{A. Salhi}, J. Prime Res. Math. 8, 61--75 (2012; Zbl 1274.65093) Full Text: arXiv
Golub, Gene H.; Meurant, Gérard Matrices, moments and quadrature with applications. (English) Zbl 1217.65056 Princeton Series in Applied Mathematics. Princeton, NJ: Princeton University Press (ISBN 978-0-691-14341-5/hbk; 978-1-400-83388-7/ebook). xi, 363 p. (2010). Reviewer: Liu Xinguo (Qingdao) MSC: 65D32 65F22 65F15 65F20 65-01 15-01 65F10 65D10 41A55 42C05 PDFBibTeX XMLCite \textit{G. H. Golub} and \textit{G. Meurant}, Matrices, moments and quadrature with applications. Princeton, NJ: Princeton University Press (2010; Zbl 1217.65056)
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.; 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
El Guennouni, Ahmed A unified approach to some strategies for the treatment of breakdown in Lanczos-type algorithms. (English) Zbl 0998.65042 Appl. Math. 26, No. 4, 477-488 (1999). MSC: 65F10 65F25 PDFBibTeX XMLCite \textit{A. El Guennouni}, Appl. Math. 26, No. 4, 477--488 (1999; Zbl 0998.65042) Full Text: DOI EuDML
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. 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
Draux, André Formal orthogonal polynomials revisited. Applications. (English) Zbl 0852.42016 Numer. Algorithms 11, No. 1-4, 143-158 (1996). Reviewer: M.Voit (Charlottesville) MSC: 42C05 PDFBibTeX XMLCite \textit{A. Draux}, Numer. Algorithms 11, No. 1--4, 143--158 (1996; Zbl 0852.42016) Full Text: DOI
Chesneaux, Jean-Marie; Matos, Ana C. Breakdown and near-breakdown control in the CGS algorithm using stochastic arithmetic. (English) Zbl 0847.65017 Numer. Algorithms 11, No. 1-4, 99-116 (1996). Reviewer: K.Georgiev (Sofia) MSC: 65F10 PDFBibTeX XMLCite \textit{J.-M. Chesneaux} and \textit{A. C. Matos}, Numer. Algorithms 11, No. 1--4, 99--116 (1996; Zbl 0847.65017) Full Text: DOI
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
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)
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
Freund, Roland W.; Gutknecht, Martin H.; Nachtigal, Noël M. An implementation of the look-ahead Lanczos algorithm for non-Hermitian matrices. (English) Zbl 0770.65022 SIAM J. Sci. Comput. 14, No. 1, 137-158 (1993). Reviewer: P.Narain (Bombay) MSC: 65F15 PDFBibTeX XMLCite \textit{R. W. Freund} et al., SIAM J. Sci. Comput. 14, No. 1, 137--158 (1993; Zbl 0770.65022) Full Text: DOI Link
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, 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, 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