Li, Wenbo; Li, Jicheng; Liu, Xuenian Efficient nonnegative matrix factorization via modified monotone Barzilai-Borwein method with adaptive step sizes strategy. (English) Zbl 07750346 J. Comput. Math. 41, No. 5, 866-878 (2023). MSC: 15A23 65F30 PDFBibTeX XMLCite \textit{W. Li} et al., J. Comput. Math. 41, No. 5, 866--878 (2023; Zbl 07750346) Full Text: DOI
Zhang, Lu; Zhang, Qifeng; Sun, Hai-Wei A fast compact difference method for two-dimensional nonlinear space-fractional complex Ginzburg-Landau equations. (English) Zbl 1513.65324 J. Comput. Math. 39, No. 5, 708-732 (2021). MSC: 65M06 65N06 35R11 35Q56 65T50 65F08 65F10 65M12 15B05 PDFBibTeX XMLCite \textit{L. Zhang} et al., J. Comput. Math. 39, No. 5, 708--732 (2021; Zbl 1513.65324) Full Text: DOI
Boffi, Daniele; Lu, Zhongjie; Pavarino, Luca F. Iterative ILU preconditioners for linear systems and eigenproblems. (English) Zbl 1499.65102 J. Comput. Math. 39, No. 4, 633-654 (2021). MSC: 65F08 65F15 15A23 PDFBibTeX XMLCite \textit{D. Boffi} et al., J. Comput. Math. 39, No. 4, 633--654 (2021; Zbl 1499.65102) Full Text: DOI Link
Tang, Yaozong; Yang, Qingzhi; Luo, Gang Convergence analysis on SS-HOPM for BEC-like nonlinear eigenvalue problems. (English) Zbl 1513.65102 J. Comput. Math. 39, No. 4, 621-632 (2021). MSC: 65F15 15A18 15A69 65H17 90C26 PDFBibTeX XMLCite \textit{Y. Tang} et al., J. Comput. Math. 39, No. 4, 621--632 (2021; Zbl 1513.65102) Full Text: DOI
Chen, Yuting; Cao, Mingyuan; Yang, Yueting; Huang, Qingdao An adaptive trust-region method for generalized eigenvalues of symmetric tensors. (English) Zbl 1488.65105 J. Comput. Math. 39, No. 3, 358-374 (2021). MSC: 65F99 15A69 65F15 PDFBibTeX XMLCite \textit{Y. Chen} et al., J. Comput. Math. 39, No. 3, 358--374 (2021; Zbl 1488.65105) Full Text: DOI
Li, Ji; Cai, Jianfeng; Zhao, Hongkai Robust inexact alternating optimization for matrix completion with outliers. (English) Zbl 1463.65140 J. Comput. Math. 38, No. 2, 337-354 (2020). MSC: 65K05 90C26 15A83 PDFBibTeX XMLCite \textit{J. Li} et al., J. Comput. Math. 38, No. 2, 337--354 (2020; Zbl 1463.65140) Full Text: DOI
Zhu, Xiangxiang; Li, Jicheng; Zhang, Zhuosheng Nonnegative matrix factorization with band constraint. (English) Zbl 1438.65096 J. Comput. Math. 36, No. 6, 761-775 (2018). MSC: 65F99 15A23 PDFBibTeX XMLCite \textit{X. Zhu} et al., J. Comput. Math. 36, No. 6, 761--775 (2018; Zbl 1438.65096) Full Text: DOI
Wang, Hong; Liu, Xin; Chen, Xiaojun; Yuan, Yaxiang SNIG property of matrix low-rank factorization model. (English) Zbl 1413.15024 J. Comput. Math. 36, No. 3, 374-390 (2018). MSC: 15A23 90C26 PDFBibTeX XMLCite \textit{H. Wang} et al., J. Comput. Math. 36, No. 3, 374--390 (2018; Zbl 1413.15024)
Ke, Yifen; Ma, Changfeng The alternating direction methods for solving the Sylvester-type matrix equation \(AXB + CX^{\text{T}}D = E^*\). (English) Zbl 1413.65140 J. Comput. Math. 35, No. 5, 620-641 (2017). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{Y. Ke} and \textit{C. Ma}, J. Comput. Math. 35, No. 5, 620--641 (2017; Zbl 1413.65140) Full Text: DOI
Dong, Yongxin; Gu, Chuanqing On PMHSS iteration methods for continuous Sylvester equations. (English) Zbl 1413.65130 J. Comput. Math. 35, No. 5, 600-619 (2017). MSC: 65F30 15A24 65F08 15B57 65F50 PDFBibTeX XMLCite \textit{Y. Dong} and \textit{C. Gu}, J. Comput. Math. 35, No. 5, 600--619 (2017; Zbl 1413.65130) Full Text: DOI Link
Xu, Yangyang Fast algorithms for higher-order singular value decomposition from incomplete data. (English) Zbl 1413.65159 J. Comput. Math. 35, No. 4, 397-422 (2017). MSC: 65F30 15A69 15A83 PDFBibTeX XMLCite \textit{Y. Xu}, J. Comput. Math. 35, No. 4, 397--422 (2017; Zbl 1413.65159) Full Text: DOI arXiv
Zhou, Rong; Wang, Xiang; Zhou, Peng A modified HSS iteration method for solving the complex linear matrix equation \(AXB = C\). (English) Zbl 1374.65077 J. Comput. Math. 34, No. 4, 437-450 (2016). MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{R. Zhou} et al., J. Comput. Math. 34, No. 4, 437--450 (2016; Zbl 1374.65077) Full Text: DOI
Duan, Xuefeng; Jiang, Zhuling; Liao, Anping Low rank approximation solution of a class of generalized Lyapunov equation. (English) Zbl 1374.65066 J. Comput. Math. 34, No. 4, 407-420 (2016). MSC: 65F30 15A24 65K05 90C30 PDFBibTeX XMLCite \textit{X. Duan} et al., J. Comput. Math. 34, No. 4, 407--420 (2016; Zbl 1374.65066) Full Text: DOI Link
Duan, Xiaomin; Sun, Huafei; Zhang, Zhenning A natural gradient algorithm for the solution of Lyapunov equations based on the geodesic distance. (English) Zbl 1313.65088 J. Comput. Math. 32, No. 1, 93-106 (2014). MSC: 65F30 53C22 65F10 15A24 PDFBibTeX XMLCite \textit{X. Duan} et al., J. Comput. Math. 32, No. 1, 93--106 (2014; Zbl 1313.65088) Full Text: DOI
Zhou, Duanmei; Chen, Guoliang; Wu, Guoxing; Zhang, Xiangyun On the nonlinear matrix equation \(X^s+A^*F(X)A=Q\) with \(s\geq 1\). (English) Zbl 1289.15032 J. Comput. Math. 31, No. 2, 209-220 (2013). MSC: 15A24 PDFBibTeX XMLCite \textit{D. Zhou} et al., J. Comput. Math. 31, No. 2, 209--220 (2013; Zbl 1289.15032) Full Text: DOI
Chen, Fang; Jiang, Yaolin; Liu, Qingquan On structured variants of modified HSS iteration methods for complex Toeplitz linear systems. (English) Zbl 1289.65052 J. Comput. Math. 31, No. 1, 57-67 (2013). MSC: 65F10 65F50 15B05 65F08 PDFBibTeX XMLCite \textit{F. Chen} et al., J. Comput. Math. 31, No. 1, 57--67 (2013; Zbl 1289.65052) Full Text: DOI Link
Ren, Zhiru Banded Toeplitz preconditioners for Toeplitz matrices from sinc methods. (English) Zbl 1274.65087 J. Comput. Math. 30, No. 5, 533-543 (2012). MSC: 65F08 15A42 15B05 PDFBibTeX XMLCite \textit{Z. Ren}, J. Comput. Math. 30, No. 5, 533--543 (2012; Zbl 1274.65087) Full Text: DOI Link
Yu, Bo; Li, Donghui; Dong, Ning Convergence of the cyclic reduction algorithm for a class of weakly overdamped quadratics. (English) Zbl 1265.65086 J. Comput. Math. 30, No. 2, 139-156 (2012). MSC: 65F30 15A24 15A18 PDFBibTeX XMLCite \textit{B. Yu} et al., J. Comput. Math. 30, No. 2, 139--156 (2012; Zbl 1265.65086) Full Text: DOI
Wang, Xuansheng; Xie, Xiaoyao; Lu, Linzhang An effective initialization for orthogonal nonnegative matrix factorization. (English) Zbl 1265.15028 J. Comput. Math. 30, No. 1, 34-46 (2012). MSC: 15A23 65F25 15B48 PDFBibTeX XMLCite \textit{X. Wang} et al., J. Comput. Math. 30, No. 1, 34--46 (2012; Zbl 1265.15028) Full Text: DOI
Zhang, Liping; Qi, Liqun; Xu, Yi Linear convergence of the LZI algorithm for weakly positive tensors. (English) Zbl 1265.65065 J. Comput. Math. 30, No. 1, 24-33 (2012). MSC: 65F15 15A69 15A42 PDFBibTeX XMLCite \textit{L. Zhang} et al., J. Comput. Math. 30, No. 1, 24--33 (2012; Zbl 1265.65065) Full Text: DOI
Dai, Hua; Bai, Zhongzhi On eigenvalue bounds and iteration methods for discrete algebraic Riccati equations. (English) Zbl 1249.65092 J. Comput. Math. 29, No. 3, 341-366 (2011). MSC: 65F30 65F10 65F15 15A24 PDFBibTeX XMLCite \textit{H. Dai} and \textit{Z. Bai}, J. Comput. Math. 29, No. 3, 341--366 (2011; Zbl 1249.65092) Full Text: DOI
Bai, Zhongzhi On a Hermitian and skew-Hermitian splitting iteration method for continuous Sylvester equations. (English) Zbl 1249.65090 J. Comput. Math. 29, No. 2, 185-198 (2011). MSC: 65F30 65F10 65F50 15A24 PDFBibTeX XMLCite \textit{Z. Bai}, J. Comput. Math. 29, No. 2, 185--198 (2011; Zbl 1249.65090) Full Text: DOI
Dai, Hua; Bai, Zhongzhi On smooth LU decompositions with applications to solutions of nonlinear eigenvalue problems. (English) Zbl 1240.65122 J. Comput. Math. 28, No. 6, 745-766 (2010). MSC: 65F15 15A18 15A23 65F05 PDFBibTeX XMLCite \textit{H. Dai} and \textit{Z. Bai}, J. Comput. Math. 28, No. 6, 745--766 (2010; Zbl 1240.65122) Full Text: DOI
Zhu, Weifang; Xue, Jungong; Gao, Weiguo The sensitivity of the exponential of an essentially nonnegative matrix. (English) Zbl 1174.15010 J. Comput. Math. 26, No. 2, 250-258 (2008). MSC: 15A54 65F35 15A42 15B48 PDFBibTeX XMLCite \textit{W. Zhu} et al., J. Comput. Math. 26, No. 2, 250--258 (2008; Zbl 1174.15010)
Jiang, Zhaolin; Xu, Zongben A new algorithm for computing the inverse and generalized inverse of the scaled factor circulant matrix. (English) Zbl 1174.65016 J. Comput. Math. 26, No. 1, 112-122 (2008). MSC: 65F20 15A09 PDFBibTeX XMLCite \textit{Z. Jiang} and \textit{Z. Xu}, J. Comput. Math. 26, No. 1, 112--122 (2008; Zbl 1174.65016)
Jia, Zhongxiao; Sun, Yuquan A QR decomposition based solver for the least squares problems from the minimal residual method for the Sylvester equation. (English) Zbl 1142.65340 J. Comput. Math. 25, No. 5, 531-542 (2007). MSC: 65F30 65F20 15A24 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{Y. Sun}, J. Comput. Math. 25, No. 5, 531--542 (2007; Zbl 1142.65340)
Bai, Zhongzhi; Gao, Yonghua Modified Bernoulli iteration methods for quadratic matrix equation. (English) Zbl 1141.65359 J. Comput. Math. 25, No. 5, 498-511 (2007). MSC: 65F30 65F10 65F15 15A24 PDFBibTeX XMLCite \textit{Z. Bai} and \textit{Y. Gao}, J. Comput. Math. 25, No. 5, 498--511 (2007; Zbl 1141.65359)
Chen, Xiaoshan; Li, Wen On the Rayleigh quotient for singular values. (English) Zbl 1141.65357 J. Comput. Math. 25, No. 5, 512-521 (2007). MSC: 65F20 15A18 PDFBibTeX XMLCite \textit{X. Chen} and \textit{W. Li}, J. Comput. Math. 25, No. 5, 512--521 (2007; Zbl 1141.65357)
Lin, Yurui; Lu, Linzhang Structures of circulant inverse \(M\)-matrices. (English) Zbl 1140.15315 J. Comput. Math. 25, No. 5, 553-560 (2007). MSC: 15B48 15B57 PDFBibTeX XMLCite \textit{Y. Lin} and \textit{L. Lu}, J. Comput. Math. 25, No. 5, 553--560 (2007; Zbl 1140.15315)
Liao, Anping; Lei, Yuan Optimal approximate solution of the matrix equation \(AXB=C\) over symmetric matrices. (English) Zbl 1140.65323 J. Comput. Math. 25, No. 5, 543-552 (2007). MSC: 65F20 65F22 15A24 65F30 PDFBibTeX XMLCite \textit{A. Liao} and \textit{Y. Lei}, J. Comput. Math. 25, No. 5, 543--552 (2007; Zbl 1140.65323)
Lei, Yuan; Liao, Anping; Zhang, Lei Minimization problem for symmetric orthogonal anti-symmetric matrices. (English) Zbl 1140.65321 J. Comput. Math. 25, No. 2, 211-220 (2007). MSC: 65F20 65F22 65F30 15A24 PDFBibTeX XMLCite \textit{Y. Lei} et al., J. Comput. Math. 25, No. 2, 211--220 (2007; Zbl 1140.65321)
Wei, Yimin; Diao, Huaian; Qiao, Sanzheng Condition number for weighted linear least squares problem. (English) Zbl 1140.65324 J. Comput. Math. 25, No. 5, 561-572 (2007). MSC: 65F20 15A12 65F35 PDFBibTeX XMLCite \textit{Y. Wei} et al., J. Comput. Math. 25, No. 5, 561--572 (2007; Zbl 1140.65324)
Cai, Jianfeng; Ng, Michael K.; Wei, Yimin Modified Newton’s algorithm for computing the group inverses of singular Toeplitz matrices. (English) Zbl 1113.65035 J. Comput. Math. 24, No. 5, 647-656 (2006). Reviewer: Constantin Popa (Constanţa) MSC: 65F20 15A09 PDFBibTeX XMLCite \textit{J. Cai} et al., J. Comput. Math. 24, No. 5, 647--656 (2006; Zbl 1113.65035)
Li, Wen; Chen, Jianxin The eigenvalue perturbation bound for arbitrary matrices. (English) Zbl 1102.15016 J. Comput. Math. 24, No. 2, 141-148 (2006). Reviewer: C. M. da Fonseca (Coimbra) MSC: 15A42 15A21 PDFBibTeX XMLCite \textit{W. Li} and \textit{J. Chen}, J. Comput. Math. 24, No. 2, 141--148 (2006; Zbl 1102.15016)
Yuan, Yaxiang; Zheng, Zhenzhen Disturbed sparse linear equations over the 0-1 finite field. (English) Zbl 1096.65037 J. Comput. Math. 24, No. 3, 357-364 (2006). MSC: 65F10 90B70 65F50 15B36 PDFBibTeX XMLCite \textit{Y. Yuan} and \textit{Z. Zheng}, J. Comput. Math. 24, No. 3, 357--364 (2006; Zbl 1096.65037)
Wei, Musheng On stable perturbations of the stiffly weighted pseudoinverse and weighted least squares problem. (English) Zbl 1083.15008 J. Comput. Math. 23, No. 5, 527-536 (2005). Reviewer: Nestor Thome (Valencia) MSC: 15A09 65F20 PDFBibTeX XMLCite \textit{M. Wei}, J. Comput. Math. 23, No. 5, 527--536 (2005; Zbl 1083.15008)
Guo, Xiaoxia On Hermitian positive definite solutions of nonlinear matrix equation \(X+A^*X^{-2}A= Q\). (English) Zbl 1081.15008 J. Comput. Math. 23, No. 5, 513-526 (2005). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 65F30 PDFBibTeX XMLCite \textit{X. Guo}, J. Comput. Math. 23, No. 5, 513--526 (2005; Zbl 1081.15008)
Zhang, Yuhai On Hermitian positive definite solutions of matrix equation \(X-A^{\ast}X^{-2}A=I^{\ast}\). (English) Zbl 1087.15020 J. Comput. Math. 23, No. 4, 408-418 (2005). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 15A24 65F30 PDFBibTeX XMLCite \textit{Y. Zhang}, J. Comput. Math. 23, No. 4, 408--418 (2005; Zbl 1087.15020)
Li, Yaotang; Zhong, Conglei Some estimations for determinant of the Hadamard product of H-matrices. (English) Zbl 1088.15009 J. Comput. Math. 23, No. 4, 401-407 (2005). Reviewer: Alexander Guterman (Moskva) MSC: 15A15 15A45 PDFBibTeX XMLCite \textit{Y. Li} and \textit{C. Zhong}, J. Comput. Math. 23, No. 4, 401--407 (2005; Zbl 1088.15009)
Guo, Xiaoxia; Bai, Zhongzhi On the minimal nonnegative solution of nonsymmetric algebraic Riccati equation. (English) Zbl 1079.65052 J. Comput. Math. 23, No. 3, 305-320 (2005). Reviewer: Mihail M. Konstantinov (Sofia) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{X. Guo} and \textit{Z. Bai}, J. Comput. Math. 23, No. 3, 305--320 (2005; Zbl 1079.65052)
Pang, Mingxian New estimates for singular values of a matrix. (English) Zbl 1073.15019 J. Comput. Math. 23, No. 2, 199-204 (2005). Reviewer: Aurelian Gheondea (Bucureşti) MSC: 15A42 PDFBibTeX XMLCite \textit{M. Pang}, J. Comput. Math. 23, No. 2, 199--204 (2005; Zbl 1073.15019)
Deng, Yuanbei; Hu, Xiyan On solutions of matrix equation \(AXA^T+BY B^T=C\). (English) Zbl 1067.15008 J. Comput. Math. 23, No. 1, 17-26 (2005). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 PDFBibTeX XMLCite \textit{Y. Deng} and \textit{X. Hu}, J. Comput. Math. 23, No. 1, 17--26 (2005; Zbl 1067.15008)
Peng, Zhenyun; Hu, Xiyan; Zhang, Lei The nearest bisymmetric solutions of linear matrix equations. (English) Zbl 1068.65057 J. Comput. Math. 22, No. 6, 873-880 (2004). Reviewer: Ferenc Szidarovszky (Tucson) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{Z. Peng} et al., J. Comput. Math. 22, No. 6, 873--880 (2004; Zbl 1068.65057)
Peng, Zhenyun; Hu, Xiyan; Zhang, Lei The inverse problem of centrosymmetric matrices with a submatrix constraint. (English) Zbl 1067.65043 J. Comput. Math. 22, No. 4, 535-544 (2004). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 15A24 15A29 PDFBibTeX XMLCite \textit{Z. Peng} et al., J. Comput. Math. 22, No. 4, 535--544 (2004; Zbl 1067.65043)
Dai, Hua Computing a nearest \(P\)-symmetric nonnegative definite matrix under linear restriction. (English) Zbl 1058.65045 J. Comput. Math. 22, No. 5, 671-680 (2004). Reviewer: Daniel Kressner (Zagreb) MSC: 65F18 65F20 15A24 PDFBibTeX XMLCite \textit{H. Dai}, J. Comput. Math. 22, No. 5, 671--680 (2004; Zbl 1058.65045)
Wei, Musheng Relationship between the stiffly weighted pseudoinverse and multi-level constrained pseudoinverse. (English) Zbl 1057.15007 J. Comput. Math. 22, No. 3, 427-436 (2004). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15A09 15A12 65F20 PDFBibTeX XMLCite \textit{M. Wei}, J. Comput. Math. 22, No. 3, 427--436 (2004; Zbl 1057.15007)
Peng, Zhenyun; Hu, Xiyan; Zhang, Lei The inverse problem for part symmetric matrices on a subspace. (English) Zbl 1052.65033 J. Comput. Math. 21, No. 4, 505-512 (2003). Reviewer: Carlos A. De Moura (Rio de Janeiro) MSC: 65F30 15A29 PDFBibTeX XMLCite \textit{Z. Peng} et al., J. Comput. Math. 21, No. 4, 505--512 (2003; Zbl 1052.65033)
Xu, Guoliang Some nonlinear approximations for matrix-valued functions. (English) Zbl 1052.65034 J. Comput. Math. 21, No. 6, 801-814 (2003). Reviewer: Horst Hollatz (Magdeburg) MSC: 65F30 15A54 65H10 PDFBibTeX XMLCite \textit{G. Xu}, J. Comput. Math. 21, No. 6, 801--814 (2003; Zbl 1052.65034)
Pang, Mingxian; Li, Zhuxiang Generalized Nekrasov matrices and applications. (English) Zbl 1031.15027 J. Comput. Math. 21, No. 2, 183-188 (2003). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15B57 65F10 PDFBibTeX XMLCite \textit{M. Pang} and \textit{Z. Li}, J. Comput. Math. 21, No. 2, 183--188 (2003; Zbl 1031.15027)
Liao, Anping; Bai, Zhongzhi Least-squares solution of \(AXB= D\) over symmetric positive semidefinite matrices \(X\). (English) Zbl 1029.65042 J. Comput. Math. 21, No. 2, 175-182 (2003). Reviewer: Thomas Sonar (Braunschweig) MSC: 65F30 65F20 15A24 PDFBibTeX XMLCite \textit{A. Liao} and \textit{Z. Bai}, J. Comput. Math. 21, No. 2, 175--182 (2003; Zbl 1029.65042)
Xie, Dongxiu; Zhang, Lei Least-squares solutions of \(X^TAX= B\) over positive semidefinite matrixes \(A\). (English) Zbl 1030.65035 J. Comput. Math. 21, No. 2, 167-174 (2003). MSC: 65F30 65F20 15A24 PDFBibTeX XMLCite \textit{D. Xie} and \textit{L. Zhang}, J. Comput. Math. 21, No. 2, 167--174 (2003; Zbl 1030.65035)
Kim, Sang Dong; Shin, Byeong Chun Explicit bounds of eigenvalues for stiffness matrices by quadratic hierarchical basis method. (English) Zbl 1032.65087 J. Comput. Math. 21, No. 2, 113-124 (2003). Reviewer: Amin Boumenir (Carrollton) MSC: 65L60 65F35 15A42 34B05 65L10 PDFBibTeX XMLCite \textit{S. D. Kim} and \textit{B. C. Shin}, J. Comput. Math. 21, No. 2, 113--124 (2003; Zbl 1032.65087)
Wu, Jiming; Shen, Longjun Spectral analysis of the first-order Hermite cubic spline collocation differentiation matrices. (English) Zbl 1018.15014 J. Comput. Math. 20, No. 5, 551-560 (2002). Reviewer: Thomas Sonar (Braunschweig) MSC: 15A42 65M70 PDFBibTeX XMLCite \textit{J. Wu} and \textit{L. Shen}, J. Comput. Math. 20, No. 5, 551--560 (2002; Zbl 1018.15014)
Li, Yaotang; Li, Jicheng On the estimations of bounds for determinant of Hadamard product of \(H\)-matrices. (English) Zbl 0991.15012 J. Comput. Math. 19, No. 4, 365-370 (2001). Reviewer: J.D.Dixon (Ottawa) MSC: 15A45 15A15 PDFBibTeX XMLCite \textit{Y. Li} and \textit{J. Li}, J. Comput. Math. 19, No. 4, 365--370 (2001; Zbl 0991.15012)
Xie, Dongxiu; Zhang, Lei; Hu, Xiyan The solvability conditions for the inverse problem of bisymmetric nonnegative definite matrices. (English) Zbl 0966.15008 J. Comput. Math. 18, No. 6, 597-608 (2000). Reviewer: V.P.Kostov (Nice) MSC: 15A29 15A24 PDFBibTeX XMLCite \textit{D. Xie} et al., J. Comput. Math. 18, No. 6, 597--608 (2000; Zbl 0966.15008)
Liao, Anping On the least squares problem of a matrix equation. (English) Zbl 0949.65038 J. Comput. Math. 17, No. 6, 589-594 (1999). Reviewer: M.M.Konstantinov (Sofia) MSC: 65F20 15A24 PDFBibTeX XMLCite \textit{A. Liao}, J. Comput. Math. 17, No. 6, 589--594 (1999; Zbl 0949.65038)
Zheng, Daosheng On matrix unitarily invariant norm condition number. (English) Zbl 0904.15005 J. Comput. Math. 16, No. 2, 121-128 (1998). Reviewer: K.Burian (Havířov) MSC: 15A12 15A60 65F35 PDFBibTeX XMLCite \textit{D. Zheng}, J. Comput. Math. 16, No. 2, 121--128 (1998; Zbl 0904.15005)
Zhao, J. X. A column recurrence algorithm for solving linear least squares problem. (English) Zbl 0863.65021 J. Comput. Math. 14, No. 4, 301-310 (1996). Reviewer: F.Luban (Bucureşti) MSC: 65F20 65K05 90C20 15A09 PDFBibTeX XMLCite \textit{J. X. Zhao}, J. Comput. Math. 14, No. 4, 301--310 (1996; Zbl 0863.65021)
Hu, Xiyan; Zhang, Lei; Du, Weizhang The solvability conditions for the inverse problem of matrices positive semidefinite on a subspace. (English) Zbl 0797.15012 J. Comput. Math. 12, No. 1, 78-87 (1994). Reviewer: J.M.Day (San José) MSC: 15A24 15A06 15B57 65F05 PDFBibTeX XMLCite \textit{X. Hu} et al., J. Comput. Math. 12, No. 1, 78--87 (1994; Zbl 0797.15012)
Sun, Jiguang On the sensitivity of semisimple multiple eigenvalues. (English) Zbl 0764.15006 J. Comput. Math. 10, No. 3, 193-203 (1992). Reviewer: F.Uhlig (Auburn) MSC: 15A18 15A42 65F15 PDFBibTeX XMLCite \textit{J. Sun}, J. Comput. Math. 10, No. 3, 193--203 (1992; Zbl 0764.15006)
Cao, Zhihao A note on the condition number of the Schur complement obtained from domain decomposition. (English) Zbl 0794.15002 J. Comput. Math. 10, Suppl., 290-294 (1992). MSC: 15A12 65N55 PDFBibTeX XMLCite \textit{Z. Cao}, J. Comput. Math. 10, 290--294 (1992; Zbl 0794.15002)
Liu, Xinguo On multiple eigenvalues of a matrix-pair dependent analytically on several parameters. (English) Zbl 0794.15004 J. Comput. Math. 10, Suppl., 265-273 (1992). MSC: 15A18 15A60 PDFBibTeX XMLCite \textit{X. Liu}, J. Comput. Math. 10, 265--273 (1992; Zbl 0794.15004)
Hu, Jiagan An upper bound of \(\| A^{-1}\|_ \infty\) and equidiagonal- dominance. (English) Zbl 0793.15015 J. Comput. Math. 10, Suppl., 253-264 (1992). MSC: 15A60 65F10 PDFBibTeX XMLCite \textit{J. Hu}, J. Comput. Math. 10, 253--264 (1992; Zbl 0793.15015)
Liu, Xinguo On Rayleigh quotient theory for the eigenproblem and the singular value problem. (English) Zbl 0796.65052 J. Comput. Math. 10, Suppl., 216-224 (1992). MSC: 65F15 15A42 PDFBibTeX XMLCite \textit{X. Liu}, J. Comput. Math. 10, 216--224 (1992; Zbl 0796.65052)
Liu, Xinguo Perturbation analysis for the inverse eigenvalue problems for Jacobi matrices. (English) Zbl 0793.15006 J. Comput. Math. 10, Suppl., 200-204 (1992). MSC: 15A18 15A42 65F15 PDFBibTeX XMLCite \textit{X. Liu}, J. Comput. Math. 10, 200--204 (1992; Zbl 0793.15006)
Liu, Xinguo Local behavior of the eigenvalues and deflating-pairs of a general matrix-pencil dependent on several parameters. (English) Zbl 0793.15005 J. Comput. Math. 10, Suppl., 192-199 (1992). MSC: 15A18 15A12 15A22 PDFBibTeX XMLCite \textit{X. Liu}, J. Comput. Math. 10, 192--199 (1992; Zbl 0793.15005)
Sun, Shengwu; Wu, Wenda Some numerical experiments on computing the closest normal matrix. (English) Zbl 0794.65042 J. Comput. Math. 10, Suppl., 165-172 (1992). MSC: 65F30 15A60 PDFBibTeX XMLCite \textit{S. Sun} and \textit{W. Wu}, J. Comput. Math. 10, 165--172 (1992; Zbl 0794.65042)
Xu, Shufang The solvability of algebraic inverse eigenvalue problems almost everywhere. (English) Zbl 0793.15004 J. Comput. Math. 10, Suppl., 152-157 (1992). MSC: 15A18 65F15 PDFBibTeX XMLCite \textit{S. Xu}, J. Comput. Math. 10, 152--157 (1992; Zbl 0793.15004)
Li, Rencang Solution of linear matrix equation \(AXD-BXC=S\) and perturbation of eigenspaces of a matrix pencil. (English) Zbl 0793.15010 J. Comput. Math. 10, Suppl., 93-109 (1992). MSC: 15A24 15A18 PDFBibTeX XMLCite \textit{R. Li}, J. Comput. Math. 10, 93--109 (1992; Zbl 0793.15010)
Li, Luoluo On solvability of an inverse eigenvalue problem. (English) Zbl 0793.15003 J. Comput. Math. 10, Suppl., 22-26 (1992). MSC: 15A18 PDFBibTeX XMLCite \textit{L. Li}, J. Comput. Math. 10, 22--26 (1992; Zbl 0793.15003)
Xu, Shufang On the necessary conditions for the solubility of algebraic inverse eigenvalue problems. (English) Zbl 0745.15004 J. Comput. Math. 10, No. 1, 93-97 (1992). Reviewer: Yang Yingchen (Beijing) MSC: 15A18 PDFBibTeX XMLCite \textit{S. Xu}, J. Comput. Math. 10, No. 1, 93--97 (1992; Zbl 0745.15004)
Xu, Shufang On the sufficient conditions for the solubility of algebraic inverse eigenvalue problems. (English) Zbl 0745.15005 J. Comput. Math. 10, No. 2, 171-180 (1992). Reviewer: Yang Yingchen (Beijing) MSC: 15A18 PDFBibTeX XMLCite \textit{S. Xu}, J. Comput. Math. 10, No. 2, 171--180 (1992; Zbl 0745.15005)
Sun, Jiguang Extensions of the Kantorovich inequality and the Bauer-Fike inequality. (English) Zbl 0776.15014 J. Comput. Math. 9, No. 4, 360-368 (1991). Reviewer: M.Kleiner (Syracuse) MSC: 15A45 15A12 65F35 PDFBibTeX XMLCite \textit{J. Sun}, J. Comput. Math. 9, No. 4, 360--368 (1991; Zbl 0776.15014)
Sun, Jiguang Rayleigh quotient and residual of a definite pair. (English) Zbl 0739.15009 J. Comput. Math. 9, No. 3, 247-255 (1991). Reviewer: E.Kreyszig (Ottawa) MSC: 15A42 15A18 PDFBibTeX XMLCite \textit{J. Sun}, J. Comput. Math. 9, No. 3, 247--255 (1991; Zbl 0739.15009)
Wang, Gourong An imbedding method for computing the generalized inverses. (English) Zbl 0716.65039 J. Comput. Math. 8, No. 4, 353-362 (1990). Reviewer: P.C.Hansen MSC: 65F20 15A09 PDFBibTeX XMLCite \textit{G. Wang}, J. Comput. Math. 8, No. 4, 353--362 (1990; Zbl 0716.65039)
Hu, Jiagan Upper bounds of the spectral radii of some iterative matrices. (English) Zbl 0704.65016 J. Comput. Math. 8, No. 2, 118-127 (1990). Reviewer: H.R.Schwarz MSC: 65F10 15A42 PDFBibTeX XMLCite \textit{J. Hu}, J. Comput. Math. 8, No. 2, 118--127 (1990; Zbl 0704.65016)
Miao, Jianming The Drazin inverse of Hessenberg matrices. (English) Zbl 0699.15003 J. Comput. Math. 8, No. 1, 23-29 (1990). Reviewer: S.L.Campbell MSC: 15A09 PDFBibTeX XMLCite \textit{J. Miao}, J. Comput. Math. 8, No. 1, 23--29 (1990; Zbl 0699.15003)
Ji, Jun The algebraic perturbation method for generalized inverses. (English) Zbl 0716.15004 J. Comput. Math. 7, No. 4, 327-333 (1989). Reviewer: M.Z.Nashed MSC: 15A09 PDFBibTeX XMLCite \textit{J. Ji}, J. Comput. Math. 7, No. 4, 327--333 (1989; Zbl 0716.15004)
Chen, Chunhui; Sun, Jiguang Perturbation bounds for the polar factors. (English) Zbl 0714.15009 J. Comput. Math. 7, No. 4, 397-401 (1989). Reviewer: M.Z.Nashed MSC: 15A23 15A60 15A45 15A09 PDFBibTeX XMLCite \textit{C. Chen} and \textit{J. Sun}, J. Comput. Math. 7, No. 4, 397--401 (1989; Zbl 0714.15009)
Miao, Jianming Representations for the weighted Moore-Penrose inverse of a partitioned matrix. (English) Zbl 0711.15003 J. Comput. Math. 7, No. 4, 321-323 (1989). Reviewer: S.L.Campbell MSC: 15A09 PDFBibTeX XMLCite \textit{J. Miao}, J. Comput. Math. 7, No. 4, 321--323 (1989; Zbl 0711.15003)
Dang, Songshi A new method for computing the weighted generalized inversion of partitioned matrices. (English) Zbl 0706.65039 J. Comput. Math. 7, No. 4, 324-326 (1989). Reviewer: P.C.Hansen MSC: 65F20 15A09 PDFBibTeX XMLCite \textit{S. Dang}, J. Comput. Math. 7, No. 4, 324--326 (1989; Zbl 0706.65039)
Yang, Yaguang A new condition number of the eigenvalue and its application in control theory. (English) Zbl 0665.15006 J. Comput. Math. 7, No. 1, 15-22 (1989). Reviewer: M.Voicu MSC: 15A12 93B55 15A42 PDFBibTeX XMLCite \textit{Y. Yang}, J. Comput. Math. 7, No. 1, 15--22 (1989; Zbl 0665.15006)
Sun, Ji-Guang Sensitivity analysis of zero singular values and multiple singular values. (English) Zbl 0668.15007 J. Comput. Math. 6, No. 4, 325-335 (1988). Reviewer: L.Elsner MSC: 15A18 65F15 15A42 15A54 PDFBibTeX XMLCite \textit{J.-G. Sun}, J. Comput. Math. 6, No. 4, 325--335 (1988; Zbl 0668.15007)
Wang, Guorong; Lu, Senquan Fast parallel algorithms for computing generalized inverses \(A^+\) and \(A^+_{MN}\). (English) Zbl 0665.65037 J. Comput. Math. 6, No. 4, 348-354 (1988). Reviewer: O.Vaarman MSC: 65F20 65F40 15A09 65Y05 68Q25 PDFBibTeX XMLCite \textit{G. Wang} and \textit{S. Lu}, J. Comput. Math. 6, No. 4, 348--354 (1988; Zbl 0665.65037)
Sun, Jiguang A note on simple non-zero singular values. (English) Zbl 0662.15008 J. Comput. Math. 6, No. 3, 258-266 (1988). Reviewer: M.Nagel MSC: 15A18 15A60 PDFBibTeX XMLCite \textit{J. Sun}, J. Comput. Math. 6, No. 3, 258--266 (1988; Zbl 0662.15008)
Chen, Chun-hui Perturbation analysis for solutions of algebraic Riccati equations. (English) Zbl 0658.15010 J. Comput. Math. 6, No. 4, 336-347 (1988). Reviewer: M.Kono MSC: 15A24 49K40 PDFBibTeX XMLCite \textit{C.-h. Chen}, J. Comput. Math. 6, No. 4, 336--347 (1988; Zbl 0658.15010)
Sun, Ji-Guang Sensitivity analysis of multiple eigenvalues. II. (English) Zbl 0645.15009 J. Comput. Math. 6, No. 2, 131-141 (1988). Reviewer: A.Popa MSC: 15A18 15A54 93B35 PDFBibTeX XMLCite \textit{J.-G. Sun}, J. Comput. Math. 6, No. 2, 131--141 (1988; Zbl 0645.15009)
Sun, Jiguang Sensitivity analysis of multiple eigenvalues. I. (English) Zbl 0638.65028 J. Comput. Math. 6, No. 1, 28-38 (1988). Reviewer: A.Popa MSC: 65F15 15A42 PDFBibTeX XMLCite \textit{J. Sun}, J. Comput. Math. 6, No. 1, 28--38 (1988; Zbl 0638.65028)
Sun, Jiguang On numerical methods for robust pole assignment in control system design. II. (English) Zbl 0648.93012 J. Comput. Math. 5, 352-363 (1987). Reviewer: S.Patarinski MSC: 93B40 93B55 93C05 15A18 93B35 93B50 PDFBibTeX XMLCite \textit{J. Sun}, J. Comput. Math. 5, 352--363 (1987; Zbl 0648.93012)
Sun, Jiguang Perturbation of angles between linear subspaces. (English) Zbl 0632.15009 J. Comput. Math. 5, 58-61 (1987). Reviewer: L.Elsner MSC: 15A42 15A18 65F15 15A60 PDFBibTeX XMLCite \textit{J. Sun}, J. Comput. Math. 5, 58--61 (1987; Zbl 0632.15009)
Jiang, Erxiong An estimate of the difference between a diagonal element and the corresponding eigenvalue of a symmetric tridiagonal matrix. (English) Zbl 0629.15012 J. Comput. Math. 5, 144-155 (1987). Reviewer: D.Powers MSC: 15A42 65F15 PDFBibTeX XMLCite \textit{E. Jiang}, J. Comput. Math. 5, 144--155 (1987; Zbl 0629.15012)
Sun, Jiguang On numerical methods for robust pole assignment in control system design. (English) Zbl 0617.93018 J. Comput. Math. 5, 119-134 (1987). Reviewer: T.Kaczorek MSC: 93B40 93B35 93C05 15A18 65K10 PDFBibTeX XMLCite \textit{J. Sun}, J. Comput. Math. 5, 119--134 (1987; Zbl 0617.93018)
Mao, Jianqin The perturbation analysis of the product of singular vector matrices \(UV^ T\). (English) Zbl 0626.65039 J. Comput. Math. 4, 245-248 (1986). Reviewer: V.Mehrmann MSC: 65F30 65G50 15A18 15A21 PDFBibTeX XMLCite \textit{J. Mao}, J. Comput. Math. 4, 245--248 (1986; Zbl 0626.65039)
Wang, Guorong; Chen, Yonglin A recursive algorithms for computing the weighted Moore-Penrose inverse \(A^ +_{MN}\). (English) Zbl 0617.65033 J. Comput. Math. 4, 74-85 (1986). Reviewer: S.Zlobec MSC: 65F20 15A09 PDFBibTeX XMLCite \textit{G. Wang} and \textit{Y. Chen}, J. Comput. Math. 4, 74--85 (1986; Zbl 0617.65033)
Sun, Jiguang The stability analysis of the solutions of inverse eigenvalue problems. (English) Zbl 0615.15005 J. Comput. Math. 4, 345-353 (1986). Reviewer: A.Ruhe MSC: 15A42 65F15 PDFBibTeX XMLCite \textit{J. Sun}, J. Comput. Math. 4, 345--353 (1986; Zbl 0615.15005)
Sun, Jiguang The unsolvability of multiplicative inverse eigenvalue problems almost everywhere. (English) Zbl 0595.15008 J. Comput. Math. 4, 227-244 (1986). Reviewer: R.von Randow MSC: 15A18 PDFBibTeX XMLCite \textit{J. Sun}, J. Comput. Math. 4, 227--244 (1986; Zbl 0595.15008)
Sun, Jiguang; Ye, Qiang The unsolvability of inverse algebraic eigenvalue problems almost everywhere. (English) Zbl 0595.15007 J. Comput. Math. 4, 212-226 (1986). MSC: 15A18 PDFBibTeX XMLCite \textit{J. Sun} and \textit{Q. Ye}, J. Comput. Math. 4, 212--226 (1986; Zbl 0595.15007)
Sun, Jiguang Eigenvalues and eigenvectors of a matrix dependent on several parameters. (English) Zbl 0618.15009 J. Comput. Math. 3, 351-364 (1985). Reviewer: A.L.Andrew MSC: 15A18 15A60 65F15 47A60 15A42 PDFBibTeX XMLCite \textit{J. Sun}, J. Comput. Math. 3, 351--364 (1985; Zbl 0618.15009)
Elsner, L.; Lancaster, P. The spectral variation of pencils of matrices. (English) Zbl 0593.15013 J. Comput. Math. 3, 262-274 (1985). Reviewer: F.J.Gaines MSC: 15A42 15A60 PDFBibTeX XMLCite \textit{L. Elsner} and \textit{P. Lancaster}, J. Comput. Math. 3, 262--274 (1985; Zbl 0593.15013)
Sun, Jiguang Estimation of the separation of two matrices. II. (English) Zbl 0561.65028 J. Comput. Math. 3, 19-26 (1985). Reviewer: R.P.Tewarson MSC: 65F35 15A12 PDFBibTeX XMLCite \textit{J. Sun}, J. Comput. Math. 3, 19--26 (1985; Zbl 0561.65028)