Huang, Tsung-Ming; Kuo, Yueh-Cheng; Lin, Wen-Wei; Shieh, Shih-Feng Structure-preserving doubling algorithms that avoid breakdowns for algebraic Riccati-type matrix equations. (English) Zbl 07791519 SIAM J. Matrix Anal. Appl. 45, No. 1, 59-83 (2024). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{T.-M. Huang} et al., SIAM J. Matrix Anal. Appl. 45, No. 1, 59--83 (2024; Zbl 07791519) Full Text: DOI
Dettling, Philipp; Homs, Roser; Améndola, Carlos; Drton, Mathias; Hansen, Niels Richard Identifiability in continuous Lyapunov models. (English) Zbl 07783214 SIAM J. Matrix Anal. Appl. 44, No. 4, 1799-1821 (2023). MSC: 62R01 62H22 15A24 PDFBibTeX XMLCite \textit{P. Dettling} et al., SIAM J. Matrix Anal. Appl. 44, No. 4, 1799--1821 (2023; Zbl 07783214) Full Text: DOI arXiv
Radons, Manuel; Tonelli-Cueto, Josué Generalized Perron roots and solvability of the absolute value equation. (English) Zbl 07765795 SIAM J. Matrix Anal. Appl. 44, No. 4, 1645-1666 (2023). MSC: 65K99 90C33 15A24 PDFBibTeX XMLCite \textit{M. Radons} and \textit{J. Tonelli-Cueto}, SIAM J. Matrix Anal. Appl. 44, No. 4, 1645--1666 (2023; Zbl 07765795) Full Text: DOI arXiv
Noferini, Vanni; Van Dooren, Paul Revisiting the matrix polynomial greatest common divisor. (English) Zbl 1521.15013 SIAM J. Matrix Anal. Appl. 44, No. 3, 1164-1188 (2023). MSC: 15A22 15A24 15A21 PDFBibTeX XMLCite \textit{V. Noferini} and \textit{P. Van Dooren}, SIAM J. Matrix Anal. Appl. 44, No. 3, 1164--1188 (2023; Zbl 1521.15013) Full Text: DOI arXiv
Hladík, Milan Properties of the solution set of absolute value equations and the related matrix classes. (English) Zbl 1516.65034 SIAM J. Matrix Anal. Appl. 44, No. 1, 175-195 (2023). MSC: 65G40 90C33 15A24 PDFBibTeX XMLCite \textit{M. Hladík}, SIAM J. Matrix Anal. Appl. 44, No. 1, 175--195 (2023; Zbl 1516.65034) Full Text: DOI arXiv
Jin, Pengzhan; Tang, Yifa; Zhu, Aiqing Unit triangular factorization of the matrix symplectic group. (English) Zbl 1456.15013 SIAM J. Matrix Anal. Appl. 41, No. 4, 1630-1650 (2020). MSC: 15A23 15A24 15B57 65F15 65F40 PDFBibTeX XMLCite \textit{P. Jin} et al., SIAM J. Matrix Anal. Appl. 41, No. 4, 1630--1650 (2020; Zbl 1456.15013) Full Text: DOI arXiv
Bini, Dario A.; Meini, Beatrice; Meng, Jie Solving quadratic matrix equations arising in random walks in the quarter plane. (English) Zbl 1441.15010 SIAM J. Matrix Anal. Appl. 41, No. 2, 691-714 (2020). MSC: 15A24 15B05 PDFBibTeX XMLCite \textit{D. A. Bini} et al., SIAM J. Matrix Anal. Appl. 41, No. 2, 691--714 (2020; Zbl 1441.15010) Full Text: DOI arXiv
Lahat, Dana; Jutten, Christian; Shapiro, Helene Schur’s lemma for coupled reducibility and coupled normality. (English) Zbl 1425.15009 SIAM J. Matrix Anal. Appl. 40, No. 3, 998-1021 (2019). MSC: 15A21 15A04 15A24 15A99 20C99 PDFBibTeX XMLCite \textit{D. Lahat} et al., SIAM J. Matrix Anal. Appl. 40, No. 3, 998--1021 (2019; Zbl 1425.15009) Full Text: DOI arXiv
Michiels, Wim; Zhou, Bin Computing delay Lyapunov matrices and \(\mathcal{H}_2\) norms for large-scale problems. (English) Zbl 1474.34426 SIAM J. Matrix Anal. Appl. 40, No. 3, 845-869 (2019). MSC: 34K06 15A24 93A15 PDFBibTeX XMLCite \textit{W. Michiels} and \textit{B. Zhou}, SIAM J. Matrix Anal. Appl. 40, No. 3, 845--869 (2019; Zbl 1474.34426) Full Text: DOI arXiv
Massei, Stefano; Palitta, Davide; Robol, Leonardo Solving rank-structured Sylvester and Lyapunov equations. (English) Zbl 1404.65036 SIAM J. Matrix Anal. Appl. 39, No. 4, 1564-1590 (2018). MSC: 65F30 65F50 15A24 65D32 65Y15 PDFBibTeX XMLCite \textit{S. Massei} et al., SIAM J. Matrix Anal. Appl. 39, No. 4, 1564--1590 (2018; Zbl 1404.65036) Full Text: DOI arXiv
Son, Nguyen Thanh; Stykel, Tatjana Solving parameter-dependent Lyapunov equations using the reduced basis method with application to parametric model order reduction. (English) Zbl 1367.65066 SIAM J. Matrix Anal. Appl. 38, No. 2, 478-504 (2017). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{N. T. Son} and \textit{T. Stykel}, SIAM J. Matrix Anal. Appl. 38, No. 2, 478--504 (2017; Zbl 1367.65066) Full Text: DOI
Zhang, Teng A majorization-minimization algorithm for computing the Karcher mean of positive definite matrices. (English) Zbl 1365.65118 SIAM J. Matrix Anal. Appl. 38, No. 2, 387-400 (2017). MSC: 65F30 15A24 26E60 53B21 PDFBibTeX XMLCite \textit{T. Zhang}, SIAM J. Matrix Anal. Appl. 38, No. 2, 387--400 (2017; Zbl 1365.65118) Full Text: DOI arXiv
Aprahamian, Mary; Higham, Nicholas J. Matrix inverse trigonometric and inverse hyperbolic functions: theory and algorithms. (English) Zbl 1388.15012 SIAM J. Matrix Anal. Appl. 37, No. 4, 1453-1477 (2016). MSC: 15A24 65F30 65F60 PDFBibTeX XMLCite \textit{M. Aprahamian} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 37, No. 4, 1453--1477 (2016; Zbl 1388.15012) Full Text: DOI
Kuo, Yueh-Cheng; Lin, Wen-Wei; Shieh, Shih-Feng Structure-preserving flows of symplectic matrix pairs. (English) Zbl 1342.15005 SIAM J. Matrix Anal. Appl. 37, No. 3, 976-1001 (2016). MSC: 15A22 15A24 65F30 34A12 PDFBibTeX XMLCite \textit{Y.-C. Kuo} et al., SIAM J. Matrix Anal. Appl. 37, No. 3, 976--1001 (2016; Zbl 1342.15005) Full Text: DOI arXiv
Hnětynková, Iveta; Plešinger, Martin; Sima, Diana Maria Solvability of the core problem with multiple right-hand sides in the TLS sense. (English) Zbl 1343.15002 SIAM J. Matrix Anal. Appl. 37, No. 3, 861-876 (2016). MSC: 15A06 15A18 15A21 15A24 65F20 65F25 PDFBibTeX XMLCite \textit{I. Hnětynková} et al., SIAM J. Matrix Anal. Appl. 37, No. 3, 861--876 (2016; Zbl 1343.15002) Full Text: DOI
Massoudi, Arash; Opmeer, Mark R.; Reis, Timo Analysis of an iteration method for the algebraic Riccati equation. (English) Zbl 1339.15010 SIAM J. Matrix Anal. Appl. 37, No. 2, 624-648 (2016). MSC: 15A24 49N10 47J20 65F30 49M30 93B52 65K10 PDFBibTeX XMLCite \textit{A. Massoudi} et al., SIAM J. Matrix Anal. Appl. 37, No. 2, 624--648 (2016; Zbl 1339.15010) Full Text: DOI Link
Fasi, Massimiliano; Higham, Nicholas J.; Iannazzo, Bruno An algorithm for the matrix Lambert \(W\) function. (English) Zbl 1317.65116 SIAM J. Matrix Anal. Appl. 36, No. 2, 669-685 (2015). MSC: 65F60 15A16 15A24 65F10 PDFBibTeX XMLCite \textit{M. Fasi} et al., SIAM J. Matrix Anal. Appl. 36, No. 2, 669--685 (2015; Zbl 1317.65116) Full Text: DOI
Baker, Jonathan; Embree, Mark; Sabino, John Fast singular value decay for Lyapunov solutions with nonnormal coefficients. (English) Zbl 1320.15011 SIAM J. Matrix Anal. Appl. 36, No. 2, 656-668 (2015). MSC: 15A24 15A18 15A60 65F15 65F30 93B05 93B40 PDFBibTeX XMLCite \textit{J. Baker} et al., SIAM J. Matrix Anal. Appl. 36, No. 2, 656--668 (2015; Zbl 1320.15011) Full Text: DOI arXiv
Dmytryshyn, Andrii; Kågström, Bo Coupled Sylvester-type matrix equations and block diagonalization. (English) Zbl 1328.15028 SIAM J. Matrix Anal. Appl. 36, No. 2, 580-593 (2015). MSC: 15A24 15A21 15A63 65F99 PDFBibTeX XMLCite \textit{A. Dmytryshyn} and \textit{B. Kågström}, SIAM J. Matrix Anal. Appl. 36, No. 2, 580--593 (2015; Zbl 1328.15028) Full Text: DOI Link
Hnětynková, Iveta; Plešinger, Martin; Strakoš, Zdeněk Band generalization of the Golub-Kahan bidiagonalization, generalized Jacobi matrices, and the core problem. (English) Zbl 1320.65057 SIAM J. Matrix Anal. Appl. 36, No. 2, 417-434 (2015). MSC: 65F20 15A21 15A06 15A18 15A24 65F25 PDFBibTeX XMLCite \textit{I. Hnětynková} et al., SIAM J. Matrix Anal. Appl. 36, No. 2, 417--434 (2015; Zbl 1320.65057) Full Text: DOI Link
Neff, Patrizio; Nakatsukasa, Yuji; Fischle, Andreas A logarithmic minimization property of the unitary polar factor in the spectral and Frobenius norms. (English) Zbl 1309.15016 SIAM J. Matrix Anal. Appl. 35, No. 3, 1132-1154 (2014). Reviewer: Mihail Voicu (Iaşi) MSC: 15A16 15A18 15A24 15A45 15A23 15A60 PDFBibTeX XMLCite \textit{P. Neff} et al., SIAM J. Matrix Anal. Appl. 35, No. 3, 1132--1154 (2014; Zbl 1309.15016) Full Text: DOI arXiv Link
Karow, Michael; Kressner, Daniel On a perturbation bound for invariant subspaces of matrices. (English) Zbl 1306.15011 SIAM J. Matrix Anal. Appl. 35, No. 2, 599-618 (2014). Reviewer: Ali Morassaei (Zanjan) MSC: 15A18 15A24 PDFBibTeX XMLCite \textit{M. Karow} and \textit{D. Kressner}, SIAM J. Matrix Anal. Appl. 35, No. 2, 599--618 (2014; Zbl 1306.15011) Full Text: DOI Link
Aprahamian, Mary; Higham, Nicholas J. The matrix unwinding function, with an application to computing the matrix exponential. (English) Zbl 1300.65024 SIAM J. Matrix Anal. Appl. 35, No. 1, 88-109 (2014). Reviewer: Michael M. Pahirya (Mukachevo) MSC: 65F35 15A24 65F60 PDFBibTeX XMLCite \textit{M. Aprahamian} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 35, No. 1, 88--109 (2014; Zbl 1300.65024) Full Text: DOI Link
Li, Tiexiang; Chu, Eric King-Wah; Kuo, Yueh-Cheng; Lin, Wen-Wei Solving large-scale nonsymmetric algebraic Riccati equations by doubling. (English) Zbl 1286.65055 SIAM J. Matrix Anal. Appl. 34, No. 3, 1129-1147 (2013). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{T. Li} et al., SIAM J. Matrix Anal. Appl. 34, No. 3, 1129--1147 (2013; Zbl 1286.65055) Full Text: DOI
Poloni, Federico; Reis, Timo A deflation approach for large-scale Lur’e equations. (English) Zbl 1263.15015 SIAM J. Matrix Anal. Appl. 33, No. 4, 1339-1368 (2012). MSC: 15A24 15A22 15A18 49N10 93A15 93B60 PDFBibTeX XMLCite \textit{F. Poloni} and \textit{T. Reis}, SIAM J. Matrix Anal. Appl. 33, No. 4, 1339--1368 (2012; Zbl 1263.15015) Full Text: DOI Link
Wei, Musheng; Shen, Dongmei Minimum rank solutions to the matrix approximation problems in the spectral norm. (English) Zbl 1260.15024 SIAM J. Matrix Anal. Appl. 33, No. 3, 940-957 (2012). Reviewer: Costică Moroşanu (Iaşi) MSC: 15A24 15A60 93A10 90C05 65K05 PDFBibTeX XMLCite \textit{M. Wei} and \textit{D. Shen}, SIAM J. Matrix Anal. Appl. 33, No. 3, 940--957 (2012; Zbl 1260.15024) Full Text: DOI
Kuo, Yueh-Cheng; Shieh, Shih-Feng A structure-preserving curve for symplectic pairs and its applications. (English) Zbl 1253.65061 SIAM J. Matrix Anal. Appl. 33, No. 2, 597-616 (2012). Reviewer: Grozio Stanilov (Sofia) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{Y.-C. Kuo} and \textit{S.-F. Shieh}, SIAM J. Matrix Anal. Appl. 33, No. 2, 597--616 (2012; Zbl 1253.65061) Full Text: DOI Link
Liu, Changli; Xue, Jungong Complex nonsymmetric algebraic Riccati equations arising in Markov modulated fluid flows. (English) Zbl 1343.65042 SIAM J. Matrix Anal. Appl. 33, No. 2, 569-596 (2012). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{C. Liu} and \textit{J. Xue}, SIAM J. Matrix Anal. Appl. 33, No. 2, 569--596 (2012; Zbl 1343.65042) Full Text: DOI
Peng, Zhen-Yun; Wang, Lin; Peng, Jing-Jing The solutions of matrix equation \(AX=B\) over a matrix inequality constraint. (English) Zbl 1252.65084 SIAM J. Matrix Anal. Appl. 33, No. 2, 554-568 (2012). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F30 15A24 15A39 15B48 PDFBibTeX XMLCite \textit{Z.-Y. Peng} et al., SIAM J. Matrix Anal. Appl. 33, No. 2, 554--568 (2012; Zbl 1252.65084) Full Text: DOI
Guo, Chun-Hua; Kuo, Yueh-Cheng; Lin, Wen-Wei On a nonlinear matrix equation arising in nano research. (English) Zbl 1254.65055 SIAM J. Matrix Anal. Appl. 33, No. 1, 235-262 (2012). Reviewer: Michael Jung (Dresden) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{C.-H. Guo} et al., SIAM J. Matrix Anal. Appl. 33, No. 1, 235--262 (2012; Zbl 1254.65055) Full Text: DOI Link
Wang, Wei-Guo; Wang, Wei-Chao; Li, Ren-Cang Alternating-directional doubling algorithm for \(M\)-matrix algebraic Riccati equations. (English) Zbl 1258.65045 SIAM J. Matrix Anal. Appl. 33, No. 1, 170-194 (2012). Reviewer: Michael Jung (Dresden) MSC: 65F30 65H10 15A24 PDFBibTeX XMLCite \textit{W.-G. Wang} et al., SIAM J. Matrix Anal. Appl. 33, No. 1, 170--194 (2012; Zbl 1258.65045) Full Text: DOI
Higham, Nicholas J.; Lin, Lijing A Schur-Padé algorithm for fractional powers of a matrix. (English) Zbl 1242.65091 SIAM J. Matrix Anal. Appl. 32, No. 3, 1056-1078 (2011). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65F60 15A16 15A24 41A21 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{L. Lin}, SIAM J. Matrix Anal. Appl. 32, No. 3, 1056--1078 (2011; Zbl 1242.65091) Full Text: DOI
Hnětynková, Iveta; Plešinger, Martin; Sima, Diana Maria; Strakoš, Zdeněk; Van Huffel, Sabine The total least squares problem in \(AX \approx B\): A new classification with the relationship to the classical works. (English) Zbl 1235.15016 SIAM J. Matrix Anal. Appl. 32, No. 3, 748-770 (2011). Reviewer: Liu Xinguo (Qingdao) MSC: 15A24 65F20 PDFBibTeX XMLCite \textit{I. Hnětynková} et al., SIAM J. Matrix Anal. Appl. 32, No. 3, 748--770 (2011; Zbl 1235.15016) Full Text: DOI
Jia, Zhigang; Wei, Musheng A real-valued spectral decomposition of the undamped gyroscopic system with applications. (English) Zbl 1277.65024 SIAM J. Matrix Anal. Appl. 32, No. 2, 584-604 (2011). MSC: 65F18 70J30 15A24 15A29 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{M. Wei}, SIAM J. Matrix Anal. Appl. 32, No. 2, 584--604 (2011; Zbl 1277.65024) Full Text: DOI
Pálfia, Miklós A multivariable extension of two-variable matrix means. (English) Zbl 1229.15025 SIAM J. Matrix Anal. Appl. 32, No. 2, 385-393 (2011). Reviewer: John D. Dixon (Ottawa) MSC: 15A45 15A24 26E60 47A64 PDFBibTeX XMLCite \textit{M. Pálfia}, SIAM J. Matrix Anal. Appl. 32, No. 2, 385--393 (2011; Zbl 1229.15025) Full Text: DOI
Meini, Beatrice; Poloni, Federico A Perron iteration for the solution of a quadratic vector equation arising in Markovian binary trees. (English) Zbl 1242.65104 SIAM J. Matrix Anal. Appl. 32, No. 1, 248-261 (2011). Reviewer: C. L. Parihar (Indore) MSC: 65H10 15A24 60J22 15A63 15B35 PDFBibTeX XMLCite \textit{B. Meini} and \textit{F. Poloni}, SIAM J. Matrix Anal. Appl. 32, No. 1, 248--261 (2011; Zbl 1242.65104) Full Text: DOI arXiv
Guo, Chun-Hua; Lin, Wen-Wei Solving a structured quadratic eigenvalue problem by a structure-preserving doubling algorithm. (English) Zbl 1215.65066 SIAM J. Matrix Anal. Appl. 31, No. 5, 2784-2801 (2010). Reviewer: Raffaella Pavani (Milano) MSC: 65F15 15A24 65F30 PDFBibTeX XMLCite \textit{C.-H. Guo} and \textit{W.-W. Lin}, SIAM J. Matrix Anal. Appl. 31, No. 5, 2784--2801 (2010; Zbl 1215.65066) Full Text: DOI Link
Vandereycken, Bart; Vandewalle, Stefan A Riemannian optimization approach for computing low-rank solutions of Lyapunov equations. (English) Zbl 1221.65108 SIAM J. Matrix Anal. Appl. 31, No. 5, 2553-2579 (2010). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 65F30 15A24 65F10 65K05 90C06 58C05 PDFBibTeX XMLCite \textit{B. Vandereycken} and \textit{S. Vandewalle}, SIAM J. Matrix Anal. Appl. 31, No. 5, 2553--2579 (2010; Zbl 1221.65108) Full Text: DOI
Laffey, Thomas J.; Šmigoc, Helena Sufficient conditions on commutators for a pair of stable matrices to have a common solution to the Lyapunov equation. (English) Zbl 1202.15018 SIAM J. Matrix Anal. Appl. 31, No. 4, 2017-2028 (2010). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 15A04 15A21 PDFBibTeX XMLCite \textit{T. J. Laffey} and \textit{H. Šmigoc}, SIAM J. Matrix Anal. Appl. 31, No. 4, 2017--2028 (2010; Zbl 1202.15018) Full Text: DOI
Kressner, Daniel; Tobler, Christine Krylov subspace methods for linear systems with tensor product structure. (English) Zbl 1208.65044 SIAM J. Matrix Anal. Appl. 31, No. 4, 1688-1714 (2010). Reviewer: Georg Hebermehl (Berlin) MSC: 65F10 15A69 65N06 65N30 35J05 35J25 65F30 15A24 15A16 PDFBibTeX XMLCite \textit{D. Kressner} and \textit{C. Tobler}, SIAM J. Matrix Anal. Appl. 31, No. 4, 1688--1714 (2010; Zbl 1208.65044) Full Text: DOI Link
Zhang, Yanxia; Qiu, Li From subadditive inequalities of singular values to triangle inequalities of canonical angles. (English) Zbl 1206.15018 SIAM J. Matrix Anal. Appl. 31, No. 4, 1606-1620 (2010). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 15A42 15A24 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{L. Qiu}, SIAM J. Matrix Anal. Appl. 31, No. 4, 1606--1620 (2010; Zbl 1206.15018) Full Text: DOI
Frommer, Andreas; Hashemi, Behnam Verified computation of square roots of a matrix. (English) Zbl 1194.65069 SIAM J. Matrix Anal. Appl. 31(2009), No. 3, 1279-1302 (2010). MSC: 65F60 15A24 65G20 65G30 PDFBibTeX XMLCite \textit{A. Frommer} and \textit{B. Hashemi}, SIAM J. Matrix Anal. Appl. 31, No. 3, 1279--1302 (2010; Zbl 1194.65069) Full Text: DOI
Chu, Delin; Hung, Y. S.; Woerdeman, Hugo J. Inertia and rank characterizations of some matrix expressions. (English) Zbl 1198.15010 SIAM J. Matrix Anal. Appl. 31(2009), No. 3, 1187-1226 (2010). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A24 15A03 15A18 65F30 15A83 PDFBibTeX XMLCite \textit{D. Chu} et al., SIAM J. Matrix Anal. Appl. 31, No. 3, 1187--1226 (2010; Zbl 1198.15010) Full Text: DOI Link
Dopico, Froilán M.; Johnson, Charles R. Parametrization of the matrix symplectic group and applications. (English) Zbl 1193.15011 SIAM J. Matrix Anal. Appl. 31, No. 2, 650-673 (2009). Reviewer: Juan Ramon Torregrosa Sanchez (Valencia) MSC: 15A23 15A24 15B48 15B57 65F15 PDFBibTeX XMLCite \textit{F. M. Dopico} and \textit{C. R. Johnson}, SIAM J. Matrix Anal. Appl. 31, No. 2, 650--673 (2009; Zbl 1193.15011) Full Text: DOI Link
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
Chu, Delin; Malabre, M.; Tan, Roger C. E. State feedback decoupling problem with stability for \((A,B,C,D)\) quadruples. (English) Zbl 1175.93052 SIAM J. Matrix Anal. Appl. 30, No. 4, 1735-1760 (2009). MSC: 93B11 93C35 93C15 15A18 15A24 PDFBibTeX XMLCite \textit{D. Chu} et al., SIAM J. Matrix Anal. Appl. 30, No. 4, 1735--1760 (2009; Zbl 1175.93052) Full Text: DOI
Guo, Chun-Hua; Higham, Nicholas J.; Tisseur, Françoise Detecting and solving hyperbolic quadratic eigenvalue problems. (English) Zbl 1180.65042 SIAM J. Matrix Anal. Appl. 30, No. 4, 1593-1613 (2009). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F15 15A18 15A24 65F30 PDFBibTeX XMLCite \textit{C.-H. Guo} et al., SIAM J. Matrix Anal. Appl. 30, No. 4, 1593--1613 (2009; Zbl 1180.65042) Full Text: DOI Link
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
Bini, Dario A.; Iannazzo, Bruno; Poloni, Federico A fast Newton’s method for a nonsymmetric algebraic Riccati equation. (English) Zbl 1166.15300 SIAM J. Matrix Anal. Appl. 30, No. 1, 276-290 (2008). MSC: 15A24 65F05 65H10 PDFBibTeX XMLCite \textit{D. A. Bini} et al., SIAM J. Matrix Anal. Appl. 30, No. 1, 276--290 (2008; Zbl 1166.15300) Full Text: DOI
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
Chu, Eric King-Wah; Fan, Hung-Yuan; Lin, Wen-Wei Projected generalized discrete-time periodic Lyapunov equations and balanced realization of periodic descriptor systems. (English) Zbl 1140.93418 SIAM J. Matrix Anal. Appl. 29, No. 3, 982-1006 (2007). MSC: 93C55 15A24 93B05 93B07 PDFBibTeX XMLCite \textit{E. K. W. Chu} et al., SIAM J. Matrix Anal. Appl. 29, No. 3, 982--1006 (2007; Zbl 1140.93418) Full Text: DOI
Grasedyck, Lars; Hackbusch, Wolfgang A multigrid method to solve large scale Sylvester equations. (English) Zbl 1154.65024 SIAM J. Matrix Anal. Appl. 29, No. 3, 870-894 (2007). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 65F05 65F50 15A24 PDFBibTeX XMLCite \textit{L. Grasedyck} and \textit{W. Hackbusch}, SIAM J. Matrix Anal. Appl. 29, No. 3, 870--894 (2007; Zbl 1154.65024) 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
Lim, Yongdo The matrix golden mean and its applications to Riccati matrix equations. (English) Zbl 1171.15014 SIAM J. Matrix Anal. Appl. 29, No. 1, 54-66 (2006). Reviewer: Alexander Guterman (Moskva) MSC: 15A24 93D20 PDFBibTeX XMLCite \textit{Y. Lim}, SIAM J. Matrix Anal. Appl. 29, No. 1, 54--66 (2006; Zbl 1171.15014) Full Text: DOI
Tian, Yongge; Liu, Yonghui Extremal ranks of some symmetric matrix expressions with applications. (English) Zbl 1123.15001 SIAM J. Matrix Anal. Appl. 28, No. 3, 890-905 (2006). Reviewer: Václav Burjan (Praha) MSC: 15A03 15A09 15A24 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{Y. Liu}, SIAM J. Matrix Anal. Appl. 28, No. 3, 890--905 (2006; Zbl 1123.15001) Full Text: DOI
Drissi, Driss Sharp inequalities for some operator means. (English) Zbl 1132.47015 SIAM J. Matrix Anal. Appl. 28, No. 3, 822-828 (2006). Reviewer: Takeaki Yamazaki (Yokohama) MSC: 47A63 42A82 15A24 PDFBibTeX XMLCite \textit{D. Drissi}, SIAM J. Matrix Anal. Appl. 28, No. 3, 822--828 (2006; Zbl 1132.47015) Full Text: DOI
Guo, Chun-Hua; Higham, Nicholas J. A Schur-Newton method for the matrix \(p\)th root and its inverse. (English) Zbl 1128.65030 SIAM J. Matrix Anal. Appl. 28, No. 3, 788-804 (2006). Reviewer: Lubomír Bakule (Praha) MSC: 65F30 15A18 15B51 15A24 PDFBibTeX XMLCite \textit{C.-H. Guo} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 28, No. 3, 788--804 (2006; Zbl 1128.65030) Full Text: DOI
Iannazzo, Bruno On the Newton method for the matrix \(p\)th root. (English) Zbl 1113.65054 SIAM J. Matrix Anal. Appl. 28, No. 2, 503-523 (2006). MSC: 65H10 15A24 65F30 PDFBibTeX XMLCite \textit{B. Iannazzo}, SIAM J. Matrix Anal. Appl. 28, No. 2, 503--523 (2006; Zbl 1113.65054) Full Text: DOI
Granat, Robert; Kågström, Bo Direct eigenvalue reordering in a product of matrices in periodic Schur form. (English) Zbl 1113.65039 SIAM J. Matrix Anal. Appl. 28, No. 1, 285-300 (2006). Reviewer: Amin Boumenir (Carrollton) MSC: 65F30 65F15 15A24 PDFBibTeX XMLCite \textit{R. Granat} and \textit{B. Kågström}, SIAM J. Matrix Anal. Appl. 28, No. 1, 285--300 (2006; Zbl 1113.65039) Full Text: DOI
Lin, Wen-Wei; Xu, Shu-Fang Convergence analysis of structure-preserving doubling algorithms for Riccati-type matrix equations. (English) Zbl 1116.65051 SIAM J. Matrix Anal. Appl. 28, No. 1, 26-39 (2006). Reviewer: Raffaella Pavani (Milano) MSC: 65F30 15A24 65H10 93B50 93D15 PDFBibTeX XMLCite \textit{W.-W. Lin} and \textit{S.-F. Xu}, SIAM J. Matrix Anal. Appl. 28, No. 1, 26--39 (2006; Zbl 1116.65051) Full Text: DOI
Liao, An-Ping; Bai, Zhong-Zhi; Lei, Yuan Best approximate solution of matrix equation \(AXB+CYD=E\). (English) Zbl 1096.15004 SIAM J. Matrix Anal. Appl. 27, No. 3, 675-688 (2005). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 65F20 65F22 PDFBibTeX XMLCite \textit{A.-P. Liao} et al., SIAM J. Matrix Anal. Appl. 27, No. 3, 675--688 (2005; Zbl 1096.15004) Full Text: DOI
Matsuura, Masaya Relations among the minimum norm coefficients for degenerate nonstationary flows. (English) Zbl 1097.15017 SIAM J. Matrix Anal. Appl. 27, No. 3, 654-664 (2005). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 15A09 60G07 PDFBibTeX XMLCite \textit{M. Matsuura}, SIAM J. Matrix Anal. Appl. 27, No. 3, 654--664 (2005; Zbl 1097.15017) Full Text: DOI
Zhang, Zhong-Zhi; Hu, Xi-Yan; Zhang, Lei On the Hermitian-generalized Hamiltonian solutions of linear matrix equations. (English) Zbl 1087.15021 SIAM J. Matrix Anal. Appl. 27, No. 1, 294-303 (2005). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 PDFBibTeX XMLCite \textit{Z.-Z. Zhang} et al., SIAM J. Matrix Anal. Appl. 27, No. 1, 294--303 (2005; Zbl 1087.15021) Full Text: DOI
Bhatia, Rajendra; Drissi, Driss Generalized Lyapunov equations and positive definite functions. (English) Zbl 1097.15015 SIAM J. Matrix Anal. Appl. 27, No. 1, 103-114 (2005). Reviewer: Leonid Golinskii (Kharkov) MSC: 15A24 15B48 PDFBibTeX XMLCite \textit{R. Bhatia} and \textit{D. Drissi}, SIAM J. Matrix Anal. Appl. 27, No. 1, 103--114 (2005; Zbl 1097.15015) Full Text: DOI Link
Higham, Nicholas J.; Mackey, D. Steven; Mackey, Niloufer; Tisseur, Françoise Functions preserving matrix groups and iterations for the matrix square root. (English) Zbl 1079.65053 SIAM J. Matrix Anal. Appl. 26, No. 3, 849-877 (2005). Reviewer: Petko Hr. Petkov (Sofia) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{N. J. Higham} et al., SIAM J. Matrix Anal. Appl. 26, No. 3, 849--877 (2005; Zbl 1079.65053) 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
Meini, Beatrice The matrix square root from a new functional perspective: Theoretical results and computational issues. (English) Zbl 1087.15019 SIAM J. Matrix Anal. Appl. 26, No. 2, 362-376 (2004). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 15A24 65F30 PDFBibTeX XMLCite \textit{B. Meini}, SIAM J. Matrix Anal. Appl. 26, No. 2, 362--376 (2004; Zbl 1087.15019) 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
Deng, Yuan-Bei; Hu, Xi-Yan; Zhang, Lei Least squares solution of \(BXA^T=T\) over symmetric, skew-symmetric, and positive semidefinite \(X\). (English) Zbl 1050.65037 SIAM J. Matrix Anal. Appl. 25, No. 2, 486-494 (2003). Reviewer: Tzvetan Semerdjiev (Sofia) MSC: 65F20 65G30 15A24 PDFBibTeX XMLCite \textit{Y.-B. Deng} et al., SIAM J. Matrix Anal. Appl. 25, No. 2, 486--494 (2003; Zbl 1050.65037) Full Text: DOI
Davies, Philip I.; Higham, Nicholas J. A Schur-Parlett algorithm for computing matrix functions. (English) Zbl 1052.65031 SIAM J. Matrix Anal. Appl. 25, No. 2, 464-485 (2003). Reviewer: Raffaella Pavani (Milano) MSC: 65F30 15A24 15A54 PDFBibTeX XMLCite \textit{P. I. Davies} and \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 25, No. 2, 464--485 (2003; Zbl 1052.65031) Full Text: DOI
Guo, Chun-Hua Comments on a shifted cyclic reduction algorithm for quasi-birth-death problems. (English) Zbl 1040.65004 SIAM J. Matrix Anal. Appl. 24, No. 4, 1161-1166 (2003). Reviewer: Adhemar Bultheel (Leuven) MSC: 65C50 65F30 60J80 15A24 60J10 60J22 65C40 PDFBibTeX XMLCite \textit{C.-H. Guo}, SIAM J. Matrix Anal. Appl. 24, No. 4, 1161--1166 (2003; Zbl 1040.65004) Full Text: DOI
Smith, Matthew I. A Schur algorithm for computing matrix \(p\)th roots. (English) Zbl 1040.65038 SIAM J. Matrix Anal. Appl. 24, No. 4, 971-989 (2003). Reviewer: Michael Jung (Dresden) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{M. I. Smith}, SIAM J. Matrix Anal. Appl. 24, No. 4, 971--989 (2003; Zbl 1040.65038) Full Text: DOI
Shim, Sang-Yeun; Chen, Yu Least squares solution of matrix equation \(AXB^* + CYD^* = E\). (English) Zbl 1037.65042 SIAM J. Matrix Anal. Appl. 24, No. 3, 802-808 (2003). Reviewer: Vladimir P. Kostov (Nice) MSC: 65F30 65F20 35J05 15A24 78A46 PDFBibTeX XMLCite \textit{S.-Y. Shim} and \textit{Y. Chen}, SIAM J. Matrix Anal. Appl. 24, No. 3, 802--808 (2003; Zbl 1037.65042) 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
Li, Jing-Rebecca; White, Jacob Low rank solution of Lyapunov equations. (English) Zbl 1016.65024 SIAM J. Matrix Anal. Appl. 24, No. 1, 260-280 (2002). Reviewer: F.Szidarovszky (Tucson) MSC: 65F30 65F10 93C05 15A24 PDFBibTeX XMLCite \textit{J.-R. Li} and \textit{J. White}, SIAM J. Matrix Anal. Appl. 24, No. 1, 260--280 (2002; Zbl 1016.65024) Full Text: DOI
Freiling, Gerhard; Mehrmann, Volker; Xu, Hongguo Existence, uniqueness, and parametrization of Lagrangian invariant subspaces. (English) Zbl 1029.65044 SIAM J. Matrix Anal. Appl. 23, No. 4, 1045-1069 (2002). Reviewer: E.Kreyszig (Ottawa) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{G. Freiling} et al., SIAM J. Matrix Anal. Appl. 23, No. 4, 1045--1069 (2002; Zbl 1029.65044) Full Text: DOI
Guo, Chun-Hua Convergence analysis of the Latouche–Ramaswami algorithm for null recurrent quasi-birth-death processes. (English) Zbl 1005.65014 SIAM J. Matrix Anal. Appl. 23, No. 3, 744-760 (2002). Reviewer: Jaromir Antoch (Praha) MSC: 65C50 60J22 60K25 65F30 15B51 15A24 60J80 65C40 PDFBibTeX XMLCite \textit{C.-H. Guo}, SIAM J. Matrix Anal. Appl. 23, No. 3, 744--760 (2002; Zbl 1005.65014) Full Text: DOI
He, C.; Meini, B.; Rhee, N. H. A shifted cyclic reduction algorithm for quasi-birth-death problems. (English) Zbl 1004.65055 SIAM J. Matrix Anal. Appl. 23, No. 3, 673-691 (2002). Reviewer: Jaromir Antoch (Praha) MSC: 65F30 60J10 60J80 65F35 15A24 15B51 PDFBibTeX XMLCite \textit{C. He} et al., SIAM J. Matrix Anal. Appl. 23, No. 3, 673--691 (2001; Zbl 1004.65055) 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
Higham, Nicholas J.; Kim, Hyun-Min Solving a quadratic matrix equation by newton’s method with exact line searches. (English) Zbl 1017.65038 SIAM J. Matrix Anal. Appl. 23, No. 2, 303-316 (2001). Reviewer: Nikolai L.Vulchanov (Warszawa) MSC: 65F30 15A24 65H10 PDFBibTeX XMLCite \textit{N. J. Higham} and \textit{H.-M. Kim}, SIAM J. Matrix Anal. Appl. 23, No. 2, 303--316 (2001; Zbl 1017.65038) Full Text: DOI
Guo, Chun-Hua Convergence rate of an iterative method for a nonlinear matrix equation. (English) Zbl 0997.65069 SIAM J. Matrix Anal. Appl. 23, No. 1, 295-302 (2001). Reviewer: Liu Xingo (Qingdao) MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{C.-H. Guo}, SIAM J. Matrix Anal. Appl. 23, No. 1, 295--302 (2001; Zbl 0997.65069) 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
Petersen, M. A.; Ran, A. C. M. Minimal square spectral factors via triples. (English) Zbl 0994.47022 SIAM J. Matrix Anal. Appl. 22, No. 4, 1222-1244 (2001). Reviewer: Lasha Ephremidze (Praha) MSC: 47A68 47A56 15A24 PDFBibTeX XMLCite \textit{M. A. Petersen} and \textit{A. C. M. Ran}, SIAM J. Matrix Anal. Appl. 22, No. 4, 1222--1244 (2001; Zbl 0994.47022) Full Text: DOI
Cheng, Sheung Hun; Higham, Nicholas J.; Kenney, Charles S.; Laub, Alan J. Approximating the logarithm of a matrix to specified accuracy. (English) Zbl 0989.65057 SIAM J. Matrix Anal. Appl. 22, No. 4, 1112-1125 (2001). Reviewer: Michael Tsatsomeros (Pullman) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{S. H. Cheng} et al., SIAM J. Matrix Anal. Appl. 22, No. 4, 1112--1125 (2001; Zbl 0989.65057) Full Text: DOI
Higham, Nicholas J. Evaluating Padé approximants of the matrix logarithm. (English) Zbl 0989.65054 SIAM J. Matrix Anal. Appl. 22, No. 4, 1126-1135 (2001). Reviewer: Michael Tsatsomeros (Pullman) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{N. J. Higham}, SIAM J. Matrix Anal. Appl. 22, No. 4, 1126--1135 (2001; Zbl 0989.65054) Full Text: DOI
Chen, Yuming On real solutions of the equation \(\Phi^t(A)=\frac{1}{n} J_n\). (English) Zbl 0979.15008 SIAM J. Matrix Anal. Appl. 22, No. 3, 965-970 (2001). Reviewer: V.P.Kostov (Nice) MSC: 15A24 PDFBibTeX XMLCite \textit{Y. Chen}, SIAM J. Matrix Anal. Appl. 22, No. 3, 965--970 (2001; Zbl 0979.15008) 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
Tippett, Michael K.; Cohn, Stephen E.; Todling, Ricardo; Marchesin, Dan Conditioning of the stable, discrete-time Lyapunov operator. (English) Zbl 0965.15004 SIAM J. Matrix Anal. Appl. 22, No. 1, 56-65 (2000). Reviewer: Václav Burjau (Praha) MSC: 15A12 15A24 15A60 93C55 93A15 PDFBibTeX XMLCite \textit{M. K. Tippett} et al., SIAM J. Matrix Anal. Appl. 22, No. 1, 56--65 (2000; Zbl 0965.15004) Full Text: DOI
Guo, Chun-Hua; Laub, Alan J. On a Newton-like method for solving algebraic Riccati equations. (English) Zbl 0965.65067 SIAM J. Matrix Anal. Appl. 21, No. 2, 694-698 (2000). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 15A24 93B40 PDFBibTeX XMLCite \textit{C.-H. Guo} and \textit{A. J. Laub}, SIAM J. Matrix Anal. Appl. 21, No. 2, 694--698 (2000; Zbl 0965.65067) Full Text: DOI
Zhang, Xian; Yang, Zhongpeng; Cao, Chongguang Real solutions of the equation \(\phi^t(A)=\frac{1}{n}J_n\). (English) Zbl 0957.15010 SIAM J. Matrix Anal. Appl. 21, No. 2, 642-645 (2000). Reviewer: V.P.Kostov (Nice) MSC: 15A24 93A30 80A50 PDFBibTeX XMLCite \textit{X. Zhang} et al., SIAM J. Matrix Anal. Appl. 21, No. 2, 642--645 (2000; Zbl 0957.15010) Full Text: DOI
Dieci, Luca; Papini, Alessandra Conditioning and Padé approximation of the logarithm of a matrix. (English) Zbl 0954.65034 SIAM J. Matrix Anal. Appl. 21, No. 3, 913-930 (2000). Reviewer: Petko Hr.Petkov (Sofia) MSC: 65F30 65F35 15A24 PDFBibTeX XMLCite \textit{L. Dieci} and \textit{A. Papini}, SIAM J. Matrix Anal. Appl. 21, No. 3, 913--930 (2000; Zbl 0954.65034) Full Text: DOI
Li, Ren-Cang A bound on the solution to a structured Sylvester equation with an application to relative perturbation theory. (English) Zbl 0964.15018 SIAM J. Matrix Anal. Appl. 21, No. 2, 440-445 (1999). Reviewer: Liu Xinguo (Qingdao) MSC: 15A42 15A60 15A24 PDFBibTeX XMLCite \textit{R.-C. Li}, SIAM J. Matrix Anal. Appl. 21, No. 2, 440--445 (1999; Zbl 0964.15018) Full Text: DOI
Gross, Jürgen; Trenkler, Götz Nonsingularity of the difference of two oblique projectors. (English) Zbl 0946.15020 SIAM J. Matrix Anal. Appl. 21, No. 2, 390-395 (1999). Reviewer: Vladimir G.Skobelev (Donetsk) MSC: 15A60 15A03 15A24 PDFBibTeX XMLCite \textit{J. Gross} and \textit{G. Trenkler}, SIAM J. Matrix Anal. Appl. 21, No. 2, 390--395 (1999; Zbl 0946.15020) Full Text: DOI
Konstantinov, M.; Petkov, P. Note on “Perturbation theory for algebraic Riccati equations”. (English) Zbl 1047.15501 SIAM J. Matrix Anal. Appl. 21, No. 1, 327-327 (1999). MSC: 15A24 93B25 65F15 PDFBibTeX XMLCite \textit{M. Konstantinov} and \textit{P. Petkov}, SIAM J. Matrix Anal. Appl. 21, No. 1, 327--327 (1999; Zbl 1047.15501) Full Text: DOI
He, Qi-Ming Partial orders and the matrix \(R\) in matrix analytic methods. (English) Zbl 0936.60082 SIAM J. Matrix Anal. Appl. 20, No. 4, 871-885 (1999). MSC: 60K25 90B22 15A24 PDFBibTeX XMLCite \textit{Q.-M. He}, SIAM J. Matrix Anal. Appl. 20, No. 4, 871--885 (1999; Zbl 0936.60082) Full Text: DOI
Elhay, S.; Gladwell, G. M. L.; Golub, G. H.; Ram, Y. M. On some eigenvector-eigenvalue relations. (English) Zbl 0929.15008 SIAM J. Matrix Anal. Appl. 20, No. 3, 563-574 (1999). Reviewer: M.Voicu (Iaşi) MSC: 15A18 15A24 34B24 34B27 74K10 PDFBibTeX XMLCite \textit{S. Elhay} et al., SIAM J. Matrix Anal. Appl. 20, No. 3, 563--574 (1999; Zbl 0929.15008) Full Text: DOI
Braden, H. W. The equations \(A^{T}X\pm X^{T}A=B\). (English) Zbl 0920.15005 SIAM J. Matrix Anal. Appl. 20, No. 2, 295-302 (1998). Reviewer: Y.Kuo (Knoxville) MSC: 15A24 15A06 15A09 37J35 37K10 70G99 PDFBibTeX XMLCite \textit{H. W. Braden}, SIAM J. Matrix Anal. Appl. 20, No. 2, 295--302 (1998; Zbl 0920.15005) Full Text: DOI
Guo, Chun-Hua Newton’s method for discrete algebraic Riccati equations when the closed-loop matrix has eigenvalues on the unit circle. (English) Zbl 0923.65018 SIAM J. Matrix Anal. Appl. 20, No. 2, 279-294 (1998). Reviewer: Lubomír Bakule (Praha) MSC: 65F30 65H10 15A24 PDFBibTeX XMLCite \textit{C.-H. Guo}, SIAM J. Matrix Anal. Appl. 20, No. 2, 279--294 (1998; Zbl 0923.65018) Full Text: DOI
Juang, Jonq; Lin, Wen-Wei Nonsymmetric algebraic Riccati equations and Hamiltonian-like matrices. (English) Zbl 0922.15003 SIAM J. Matrix Anal. Appl. 20, No. 1, 228-243 (1998). Reviewer: Y.Kuo (Knoxville) MSC: 15A24 82C70 65F30 15A18 PDFBibTeX XMLCite \textit{J. Juang} and \textit{W.-W. Lin}, SIAM J. Matrix Anal. Appl. 20, No. 1, 228--243 (1998; Zbl 0922.15003) Full Text: DOI
Hartwig, Robert E.; Šemrl, Peter Power additivity and orthogonality. (English) Zbl 0924.15007 SIAM J. Matrix Anal. Appl. 20, No. 1, 1-13 (1998). Reviewer: J.D.Dixon (Ottawa) MSC: 15A21 15A24 PDFBibTeX XMLCite \textit{R. E. Hartwig} and \textit{P. Šemrl}, SIAM J. Matrix Anal. Appl. 20, No. 1, 1--13 (1998; Zbl 0924.15007) Full Text: DOI