Zhang, Lei-Hong; Xue, Jungong; Li, Ren-Cang Rayleigh-Ritz approximation for the linear response eigenvalue problem. (English) Zbl 1305.65126 SIAM J. Matrix Anal. Appl. 35, No. 2, 765-782 (2014). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65F15 15A42 65L15 34L16 PDFBibTeX XMLCite \textit{L.-H. Zhang} et al., SIAM J. Matrix Anal. Appl. 35, No. 2, 765--782 (2014; Zbl 1305.65126) Full Text: DOI Link
Shi, Xinghua; Wei, Yimin; Zhang, Wen Convergence of general nonstationary iterative methods for solving singular linear equations. (English) Zbl 1222.65031 SIAM J. Matrix Anal. Appl. 32, No. 1, 72-89 (2011). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F10 65F20 15A09 PDFBibTeX XMLCite \textit{X. Shi} et al., SIAM J. Matrix Anal. Appl. 32, No. 1, 72--89 (2011; Zbl 1222.65031) Full Text: DOI
Chiang, Chun-Yueh; Chu, Eric King-Wah; Guo, Chun-Hua; Huang, Tsung-Ming; Lin, Wen-Wei; Xu, Shu-Fang Convergence analysis of the doubling algorithm for several nonlinear matrix equations in the critical case. (English) Zbl 1195.65053 SIAM J. Matrix Anal. Appl. 31, No. 2, 227-247 (2009). Reviewer: T. C. Mohan (Dehra Dun) MSC: 65F30 15A24 15B48 PDFBibTeX XMLCite \textit{C.-Y. Chiang} et al., SIAM J. Matrix Anal. Appl. 31, No. 2, 227--247 (2009; Zbl 1195.65053) Full Text: DOI Link
Garloff, Jürgen Interval Gaussian elimination with pivot tightening. (English) Zbl 1181.65047 SIAM J. Matrix Anal. Appl. 30, No. 4, 1761-1772 (2009). Reviewer: Günter Mayer (Rostock) MSC: 65F05 65G30 15B05 15B48 PDFBibTeX XMLCite \textit{J. Garloff}, SIAM J. Matrix Anal. Appl. 30, No. 4, 1761--1772 (2009; Zbl 1181.65047) Full Text: DOI
Mehrmann, Volker; Xu, Hongguo Explicit solutions for a Riccati equation from transport theory. (English) Zbl 1176.65055 SIAM J. Matrix Anal. Appl. 30, No. 4, 1339-1357 (2008). MSC: 65F30 15A24 15A18 82C70 PDFBibTeX XMLCite \textit{V. Mehrmann} and \textit{H. Xu}, SIAM J. Matrix Anal. Appl. 30, No. 4, 1339--1357 (2008; Zbl 1176.65055) Full Text: DOI Link
Guo, Chun-Hua; Iannazzo, Bruno; Meini, Beatrice On the doubling algorithm for a (shifted) nonsymmetric algebraic Riccati equation. (English) Zbl 1157.65025 SIAM J. Matrix Anal. Appl. 29, No. 4, 1083-1100 (2008). Reviewer: Lubomír Bakule (Praha) MSC: 65F30 15A24 15B48 PDFBibTeX XMLCite \textit{C.-H. Guo} et al., SIAM J. Matrix Anal. Appl. 29, No. 4, 1083--1100 (2008; Zbl 1157.65025) Full Text: DOI Link
Golub, Gene H.; Ruiz, Daniel; Touhami, Ahmed A hybrid approach combining Chebyshev filter and conjugate gradient for solving linear systems with multiple right-hand sides. (English) Zbl 1151.65319 SIAM J. Matrix Anal. Appl. 29, No. 3, 774-795 (2007). MSC: 65F10 65F15 65F50 65H10 65H17 65N22 65F35 PDFBibTeX XMLCite \textit{G. H. Golub} et al., SIAM J. Matrix Anal. Appl. 29, No. 3, 774--795 (2007; Zbl 1151.65319) Full Text: DOI
Guo, Chun-Hua; Higham, Nicholas J. Iterative solution of a nonsymmetric algebraic Riccati equation. (English) Zbl 1146.65035 SIAM J. Matrix Anal. Appl. 29, No. 2, 396-412 (2007). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F30 15A24 15B48 65H10 PDFBibTeX XMLCite \textit{C.-H. Guo} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 29, No. 2, 396--412 (2007; Zbl 1146.65035) Full Text: DOI Link
Zhang, Zhenyue; Wang, Jing; Fang, Min Necessary and sufficient conditions for the existence of positive definite solutions to the symmetric recursive inverse eigenvalue problem. (English) Zbl 1082.15022 SIAM J. Matrix Anal. Appl. 26, No. 4, 1115-1131 (2005). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A18 15A29 15B57 65F18 PDFBibTeX XMLCite \textit{Z. Zhang} et al., SIAM J. Matrix Anal. Appl. 26, No. 4, 1115--1131 (2005; Zbl 1082.15022) Full Text: DOI
Lu, Lin-Zhang Solution form and simple iteration of a nonsymmetric algebraic Riccati equation arising in transport theory. (English) Zbl 1072.15016 SIAM J. Matrix Anal. Appl. 26, No. 3, 679-685 (2005). Reviewer: Costică Moroşanu (Iaşi) MSC: 15A24 65F10 82C70 65F30 PDFBibTeX XMLCite \textit{L.-Z. Lu}, SIAM J. Matrix Anal. Appl. 26, No. 3, 679--685 (2005; Zbl 1072.15016) Full Text: DOI
Sun, Ji-Guang Backward perturbation analysis of the periodic discrete-time algebraic Riccati equation. (English) Zbl 1112.93023 SIAM J. Matrix Anal. Appl. 26, No. 1, 1-19 (2004). MSC: 93B40 15A24 39A11 PDFBibTeX XMLCite \textit{J.-G. Sun}, SIAM J. Matrix Anal. Appl. 26, No. 1, 1--19 (2004; Zbl 1112.93023) Full Text: DOI
Loewy, Raphael; Mehrmann, Volker A note on the symmetric recursive inverse eigenvalue problem. (English) Zbl 1062.15010 SIAM J. Matrix Anal. Appl. 25, No. 1, 180-187 (2003). MSC: 15A29 15A18 15B48 15B57 PDFBibTeX XMLCite \textit{R. Loewy} and \textit{V. Mehrmann}, SIAM J. Matrix Anal. Appl. 25, No. 1, 180--187 (2003; Zbl 1062.15010) Full Text: DOI
Lin, Wen-Wei; Sun, Ji-guang Perturbation analysis of the periodic discrete-time algebraic Riccati equation. (English) Zbl 1021.15009 SIAM J. Matrix Anal. Appl. 24, No. 2, 411-438 (2002). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 15A24 93B35 65F30 93C55 PDFBibTeX XMLCite \textit{W.-W. Lin} and \textit{J.-g. Sun}, SIAM J. Matrix Anal. Appl. 24, No. 2, 411--438 (2002; Zbl 1021.15009) Full Text: DOI
El-Sayed, Salah M.; Ran, André C. M. On an iteration method for solving a class of nonlinear matrix equations. (English) Zbl 1002.65061 SIAM J. Matrix Anal. Appl. 23, No. 3, 632-645 (2002). Reviewer: A.Meister (Hamburg) MSC: 65H10 15A24 65F30 PDFBibTeX XMLCite \textit{S. M. El-Sayed} and \textit{A. C. M. Ran}, SIAM J. Matrix Anal. Appl. 23, No. 3, 632--645 (2001; Zbl 1002.65061) Full Text: DOI
Guo, Chun-Hua Nonsymmetric algebraic Riccati equations and Wiener-Hopf factorization for M-matrices. (English) Zbl 0996.65047 SIAM J. Matrix Anal. Appl. 23, No. 1, 225-242 (2001). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 15A24 65H10 15B48 PDFBibTeX XMLCite \textit{C.-H. Guo}, SIAM J. Matrix Anal. Appl. 23, No. 1, 225--242 (2001; Zbl 0996.65047) Full Text: DOI
Arav, Marina; Hershkowitz, Daniel; Schneider, Hans; Mehrmann, Volker The recursive inverse eigenvalue problem. (English) Zbl 0978.15013 SIAM J. Matrix Anal. Appl. 22, No. 2, 392-412 (2000). Reviewer: Michal Zajac (Bratislava) MSC: 15A29 15B48 15B57 15A18 PDFBibTeX XMLCite \textit{M. Arav} et al., SIAM J. Matrix Anal. Appl. 22, No. 2, 392--412 (2000; Zbl 0978.15013) Full Text: DOI
Guo, Chun-Hua; Laub, Alan J. On the iterative solution of a class of nonsymmetric algebraic Riccati equations. (English) Zbl 0973.65025 SIAM J. Matrix Anal. Appl. 22, No. 2, 376-391 (2000). Reviewer: Krassimir Georgiev (Sofia) MSC: 65F10 82C70 65F30 15A24 PDFBibTeX XMLCite \textit{C.-H. Guo} and \textit{A. J. Laub}, SIAM J. Matrix Anal. Appl. 22, No. 2, 376--391 (2000; Zbl 0973.65025) Full Text: DOI
Sun, Ji-guang Perturbation theory for algebraic Riccati equations. (English) Zbl 0914.15009 SIAM J. Matrix Anal. Appl. 19, No. 1, 39-65 (1998). Reviewer: Chen Zhijie (Shanghai) MSC: 15A24 93B35 PDFBibTeX XMLCite \textit{J.-g. Sun}, SIAM J. Matrix Anal. Appl. 19, No. 1, 39--65 (1998; Zbl 0914.15009) Full Text: DOI