Shao, Xinhui; Qi, Meng Two new algorithms for solving multi-linear systems with \(\mathcal M\)-tensor. (Chinese. English summary) Zbl 1513.65083 Math. Numer. Sin. 44, No. 2, 206-216 (2022). MSC: 65F10 15A18 15A69 65F08 65H10 PDFBibTeX XMLCite \textit{X. Shao} and \textit{M. Qi}, Math. Numer. Sin. 44, No. 2, 206--216 (2022; Zbl 1513.65083) Full Text: DOI
Li, Jiaofen; Qin, Shujuan; Zhang, Li; Hou, Wenting An efficient method for solving a class of matrix trace function minimization problem in multivariate statistical analysis. (An efficient method for solving a class of matrix trace function minimization problem in multivariate statistical.) (Chinese. English summary) Zbl 1524.65221 Math. Numer. Sin. 43, No. 1, 70-86 (2021). MSC: 65K05 15A15 62-08 62H99 90C30 PDFBibTeX XMLCite \textit{J. Li} et al., Math. Numer. Sin. 43, No. 1, 70--86 (2021; Zbl 1524.65221) Full Text: DOI
Tang, Yaozong; Yang, Qingzhi Convergence rate estimation on SS-HOPM for nonlinear eigenvalue problems. (Chinese. English summary) Zbl 1524.65170 Math. Numer. Sin. 43, No. 4, 529-538 (2021). MSC: 65F15 15A69 49M37 65K05 90C26 PDFBibTeX XMLCite \textit{Y. Tang} and \textit{Q. Yang}, Math. Numer. Sin. 43, No. 4, 529--538 (2021; Zbl 1524.65170) Full Text: DOI
Wei, Shuiyan; Chen, Xiaoshan A quadratically convergent algorithm for inverse singular value problems. (Chinese. English summary) Zbl 1513.65108 Math. Numer. Sin. 43, No. 4, 471-483 (2021). MSC: 65F18 15A18 15A29 PDFBibTeX XMLCite \textit{S. Wei} and \textit{X. Chen}, Math. Numer. Sin. 43, No. 4, 471--483 (2021; Zbl 1513.65108) Full Text: DOI
He, Jun; Liu, Yanmin; Xu, Guangjun New M-eigenvalue inclusion sets for fourth-order partially symmetric tensors with applications. (Chinese. English summary) Zbl 1513.65098 Math. Numer. Sin. 43, No. 4, 457-470 (2021). MSC: 65F15 65F10 15A18 15A69 PDFBibTeX XMLCite \textit{J. He} et al., Math. Numer. Sin. 43, No. 4, 457--470 (2021; Zbl 1513.65098) Full Text: DOI
Wang, Yihong; Li, Yaotang A Ulm-type algorithm based on matrix equation for a class of inverse eigenvalue problems (IEP). (Chinese. English summary) Zbl 1513.65107 Math. Numer. Sin. 43, No. 4, 444-456 (2021). MSC: 65F18 65F15 15A29 15A18 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{Y. Li}, Math. Numer. Sin. 43, No. 4, 444--456 (2021; Zbl 1513.65107) Full Text: DOI
Xu, Li; Mingxiang, Li Generalized positive-definite and skew-Hermitian splitting iteration method and its SOR acceleration for continuous Sylvester equations. (Chinese. English summary) Zbl 1524.65189 Math. Numer. Sin. 43, No. 3, 354-366 (2021). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{L. Xu} and \textit{L. Mingxiang}, Math. Numer. Sin. 43, No. 3, 354--366 (2021; Zbl 1524.65189) Full Text: DOI
He, Ying; Liu, Hao Preconditioned GMRES method for a class of Toeplitz linear systems. (Chinese. English summary) Zbl 1488.65073 Math. Numer. Sin. 43, No. 2, 177-191 (2021). MSC: 65F10 65F08 65F15 15B05 34A08 PDFBibTeX XMLCite \textit{Y. He} and \textit{H. Liu}, Math. Numer. Sin. 43, No. 2, 177--191 (2021; Zbl 1488.65073) Full Text: DOI
Lan, Jiaxin; Huang, Jingpin; Mao, Liying; Wang, Min The conjugated extended matrix solutions of the quaternion equation \(AVB + CXD = E\). (Chinese. English summary) Zbl 1474.15042 Math. Numer. Sin. 42, No. 4, 497-507 (2020). MSC: 15A24 65F45 PDFBibTeX XMLCite \textit{J. Lan} et al., Math. Numer. Sin. 42, No. 4, 497--507 (2020; Zbl 1474.15042)
He, Penghui; Li, Houbiao A note on the least squares QR (LSQR) algorithm. (Chinese. English summary) Zbl 1474.65094 Math. Numer. Sin. 42, No. 4, 487-496 (2020). MSC: 65F20 15A09 PDFBibTeX XMLCite \textit{P. He} and \textit{H. Li}, Math. Numer. Sin. 42, No. 4, 487--496 (2020; Zbl 1474.65094)
Feng, Yanzhao; Zhang, Lan The solution and optimal approximation of matrix equation \({A^T}XB + {B^T}{X^T}A = D\) under subspace constraint. (Chinese. English summary) Zbl 1463.15037 Math. Numer. Sin. 42, No. 2, 246-256 (2020). MSC: 15A24 65F45 PDFBibTeX XMLCite \textit{Y. Feng} and \textit{L. Zhang}, Math. Numer. Sin. 42, No. 2, 246--256 (2020; Zbl 1463.15037)
Zhong, Wei; Tian, Zhou; Shou, Liefeng A large-scale and fast dimensional analysis method based on linear algebra and its applications in the field of explosion and impact engineering. (Chinese. English summary) Zbl 1474.65526 Math. Numer. Sin. 42, No. 2, 170-195 (2020). MSC: 65Z05 15-04 76M55 PDFBibTeX XMLCite \textit{W. Zhong} et al., Math. Numer. Sin. 42, No. 2, 170--195 (2020; Zbl 1474.65526)
Luo, Gang; Yang, Qingzhi A class of tensor eigenvalue complementarity problem. (Chinese. English summary) Zbl 1449.15014 Math. Numer. Sin. 41, No. 4, 406-418 (2019). MSC: 15A18 15A69 68Q17 90C33 PDFBibTeX XMLCite \textit{G. Luo} and \textit{Q. Yang}, Math. Numer. Sin. 41, No. 4, 406--418 (2019; Zbl 1449.15014)
Tuo, Qing; Chen, Xi Note on “One type of new criteria conditions for nonsingular \(H\)-matrices”. (Chinese. English summary) Zbl 1438.15077 Math. Numer. Sin. 41, No. 2, 219-224 (2019). MSC: 15B57 PDFBibTeX XMLCite \textit{Q. Tuo} and \textit{X. Chen}, Math. Numer. Sin. 41, No. 2, 219--224 (2019; Zbl 1438.15077)
Pan, Chunping; Wang, Hongyu; Cao, Wenfang On extrapolated Hermitian and skew-Hermitian splitting iteration method for non-Hermitian positive definite linear systems. (Chinese. English summary) Zbl 1438.65086 Math. Numer. Sin. 41, No. 1, 52-65 (2019). MSC: 65F50 15B48 15B57 65F10 PDFBibTeX XMLCite \textit{C. Pan} et al., Math. Numer. Sin. 41, No. 1, 52--65 (2019; Zbl 1438.65086)
Yan, Xi; Ma, Changfeng The optimal parameter analysis on parameter iterative method for solving matrix equation. (Chinese. English summary) Zbl 1438.65083 Math. Numer. Sin. 41, No. 1, 37-51 (2019). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{X. Yan} and \textit{C. Ma}, Math. Numer. Sin. 41, No. 1, 37--51 (2019; Zbl 1438.65083)
Cai, Wenyin; Xu, Lingling An improved algorithm for least squares problem of generalized Sylvester equation under nuclear norm and spectral norm. (Chinese. English summary) Zbl 1424.65047 Math. Numer. Sin. 40, No. 4, 387-401 (2018). MSC: 65F30 15A24 65F35 PDFBibTeX XMLCite \textit{W. Cai} and \textit{L. Xu}, Math. Numer. Sin. 40, No. 4, 387--401 (2018; Zbl 1424.65047)
Han, Ruyi; Wang, Chuanlong The comparison of four manifold approximation algorithms for Toeplitz matrix completion. (Chinese. English summary) Zbl 1438.65093 Math. Numer. Sin. 40, No. 3, 325-336 (2018). MSC: 65F99 15B05 15A83 PDFBibTeX XMLCite \textit{R. Han} and \textit{C. Wang}, Math. Numer. Sin. 40, No. 3, 325--336 (2018; Zbl 1438.65093)
Deng, Yuanbei; Wen, Yayun Inverse problems for five and seven diagonal symmetric positive definite matrices. (Chinese. English summary) Zbl 1424.15033 Math. Numer. Sin. 40, No. 3, 241-253 (2018). MSC: 15A29 15A06 PDFBibTeX XMLCite \textit{Y. Deng} and \textit{Y. Wen}, Math. Numer. Sin. 40, No. 3, 241--253 (2018; Zbl 1424.15033)
Liu, Changtai Iterative sufficient conditions for nonsingular H-matrices. (Chinese. English summary) Zbl 1399.15006 Math. Numer. Sin. 39, No. 3, 328-336 (2017). MSC: 15A12 15B57 PDFBibTeX XMLCite \textit{C. Liu}, Math. Numer. Sin. 39, No. 3, 328--336 (2017; Zbl 1399.15006)
Zhou, Hailin An iterative algorithm for solutions of the system of matrix equations \({A_1}X{B_1} = {C_1}\), \({A_2}X{B_2} = {C_2}\) over linear subspace. (Chinese. English summary) Zbl 1413.65162 Math. Numer. Sin. 39, No. 2, 213-228 (2017). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{H. Zhou}, Math. Numer. Sin. 39, No. 2, 213--228 (2017; Zbl 1413.65162)
Shi, Zhanglei; Li, Weiguo Matrix pseudoinverse hard thresholding pursuit and sparse recovery problem. (Chinese. English summary) Zbl 1413.65118 Math. Numer. Sin. 39, No. 2, 189-199 (2017). MSC: 65F20 15A09 94A12 PDFBibTeX XMLCite \textit{Z. Shi} and \textit{W. Li}, Math. Numer. Sin. 39, No. 2, 189--199 (2017; Zbl 1413.65118)
Liu, Lixia; Wang, Chuanlong A subspace algorithm with mean value for Toeplitz matrix completion. (Chinese. English summary) Zbl 1413.65146 Math. Numer. Sin. 39, No. 2, 179-188 (2017). MSC: 65F30 15A83 15B05 PDFBibTeX XMLCite \textit{L. Liu} and \textit{C. Wang}, Math. Numer. Sin. 39, No. 2, 179--188 (2017; Zbl 1413.65146)
Li, Jiaofen; Song, Dandan; Li, Tao; Li, Wen An efficient method for solving generalized Sylverster equation minimization problem under the nuclear and spectral norm. (Chinese. English summary) Zbl 1413.65142 Math. Numer. Sin. 39, No. 2, 129-150 (2017). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{J. Li} et al., Math. Numer. Sin. 39, No. 2, 129--150 (2017; Zbl 1413.65142)
Zhou, Xi; Lei, Yuan; Qiao, Wenlong A class of linear constrained matrix inequality and its least squares problem. (Chinese. English summary) Zbl 1363.65068 Math. Numer. Sin. 38, No. 2, 171-186 (2016). MSC: 65F20 15A45 65F10 65F30 PDFBibTeX XMLCite \textit{X. Zhou} et al., Math. Numer. Sin. 38, No. 2, 171--186 (2016; Zbl 1363.65068)
Zhang, Kaiyuan; Geng, Xiaojiao; Nie, Yufeng Two iterative algorithms for the symmetric reflexive solution of a class of Riccati equations. (Chinese. English summary) Zbl 1363.65083 Math. Numer. Sin. 38, No. 2, 161-170 (2016). MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{K. Zhang} et al., Math. Numer. Sin. 38, No. 2, 161--170 (2016; Zbl 1363.65083)
Zhou, Hailin An iterative algorithm for \(M\) symmetric solutions of the matrix equation \(AXB+CYD=E\). (Chinese. English summary) Zbl 1340.65086 Math. Numer. Sin. 37, No. 2, 186-198 (2015). MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{H. Zhou}, Math. Numer. Sin. 37, No. 2, 186--198 (2015; Zbl 1340.65086)
Huang, Na; Ma, Changfeng; Xie, Yajun On estimations of the eigenvalues for a class of Hermitian saddle point matrices. (Chinese. English summary) Zbl 1340.65058 Math. Numer. Sin. 37, No. 1, 92-102 (2015). MSC: 65F15 15A42 65F50 PDFBibTeX XMLCite \textit{N. Huang} et al., Math. Numer. Sin. 37, No. 1, 92--102 (2015; Zbl 1340.65058)
Zou, Caisheng; Chen, Xiaoshan Computing the polar decomposition with a secant method. (Chinese. English summary) Zbl 1324.65060 Math. Numer. Sin. 36, No. 3, 225-230 (2014). MSC: 65F10 15A23 PDFBibTeX XMLCite \textit{C. Zou} and \textit{X. Chen}, Math. Numer. Sin. 36, No. 3, 225--230 (2014; Zbl 1324.65060)
Li, Jiaofen; Zhang, Xiaoning; Peng, Zhenyun; Peng, Jingjing An alternating projection algorithm for single variable linear constraints matrix equation problems. (Chinese. English summary) Zbl 1313.65090 Math. Numer. Sin. 36, No. 2, 143-162 (2014). MSC: 65F30 15A24 15A29 15B57 65F10 PDFBibTeX XMLCite \textit{J. Li} et al., Math. Numer. Sin. 36, No. 2, 143--162 (2014; Zbl 1313.65090)
Huang, Na; Ma, Changfeng; Xie, Yajun Some predictor-corrector-type iterative schemes for solving nonsymmetric algebraic Riccati equations arising in transport theory. (Chinese. English summary) Zbl 1299.65076 Math. Numer. Sin. 35, No. 4, 401-418 (2013). MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{N. Huang} et al., Math. Numer. Sin. 35, No. 4, 401--418 (2013; Zbl 1299.65076)
Li, Jiaofen; Peng, Zhenyun; Peng, Jingjing The bisymmetric solution of matrix equation \(AX=B\) over a matrix inequality constraint. (Chinese. English summary) Zbl 1299.65077 Math. Numer. Sin. 35, No. 2, 137-150 (2013). MSC: 65F30 15A24 15A45 65F10 PDFBibTeX XMLCite \textit{J. Li} et al., Math. Numer. Sin. 35, No. 2, 137--150 (2013; Zbl 1299.65077)
Liu, Zhongyun; Liu, Chengzhi; Zhang, Yulin The multistage methods for solving symmetric positive definite Toeplitz systems. (Chinese. English summary) Zbl 1289.65059 Math. Numer. Sin. 34, No. 4, 397-404 (2012). MSC: 65F10 65Y05 65F08 15B05 PDFBibTeX XMLCite \textit{Z. Liu} et al., Math. Numer. Sin. 34, No. 4, 397--404 (2012; Zbl 1289.65059)
Chen, Xiaoshan Solving the (generalized) periodic Sylvester equation with the matrix sign function. (Chinese. English summary) Zbl 1265.65078 Math. Numer. Sin. 34, No. 2, 153-162 (2012). MSC: 65F30 65F10 15A24 93C55 PDFBibTeX XMLCite \textit{X. Chen}, Math. Numer. Sin. 34, No. 2, 153--162 (2012; Zbl 1265.65078)
Li, Jiaofen; Hu, Xiyan; Zhang, Lei Inverse problem and perturbation analysis on the approximation problem for \((R,S,\mu)\) symmetry matrices. (Chinese. English summary) Zbl 1265.15034 Math. Numer. Sin. 34, No. 1, 25-36 (2012). MSC: 15A29 15A24 PDFBibTeX XMLCite \textit{J. Li} et al., Math. Numer. Sin. 34, No. 1, 25--36 (2012; Zbl 1265.15034)
Wang, Jian; Xu, Zhong; Lu, Quan A set of new criteria conditions for generalized strictly diagonally dominant matrices. (Chinese. English summary) Zbl 1249.15043 Math. Numer. Sin. 33, No. 3, 225-232 (2011). MSC: 15B57 15A12 65F10 PDFBibTeX XMLCite \textit{J. Wang} et al., Math. Numer. Sin. 33, No. 3, 225--232 (2011; Zbl 1249.15043)
Zhou, Hailin An iterative method for symmetric solutions of the matrix equation \(AXB+CXD=F\). (Chinese. English summary) Zbl 1240.65149 Math. Numer. Sin. 32, No. 4, 413-422 (2010). MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{H. Zhou}, Math. Numer. Sin. 32, No. 4, 413--422 (2010; Zbl 1240.65149)
Cai, Jing Comparison of the weighted squared residuals of the TLS and LS problems. (Chinese. English summary) Zbl 1240.65133 Math. Numer. Sin. 32, No. 3, 225-232 (2010). MSC: 65F20 15A06 PDFBibTeX XMLCite \textit{J. Cai}, Math. Numer. Sin. 32, No. 3, 225--232 (2010; Zbl 1240.65133)
Liu, Xiaoji; Wang, Hongxing Generalized inverse of matrices over commutative rings. (Chinese. English summary) Zbl 1212.15007 Math. Numer. Sin. 31, No. 4, 425-434 (2009). MSC: 15A09 15B33 15A15 PDFBibTeX XMLCite \textit{X. Liu} and \textit{H. Wang}, Math. Numer. Sin. 31, No. 4, 425--434 (2009; Zbl 1212.15007)
Wang, Xuefeng; Wang, Weiguo; Liu, Xinguo A note on bounds for eigenvalues of matrix polynomials. (Chinese. English summary) Zbl 1212.15042 Math. Numer. Sin. 31, No. 3, 243-252 (2009). MSC: 15A42 15A22 15A54 PDFBibTeX XMLCite \textit{X. Wang} et al., Math. Numer. Sin. 31, No. 3, 243--252 (2009; Zbl 1212.15042)
Wang, Hongxing; Liu, Xiaoji Displacement structure of \(M\)-group inverse. (Chinese. English summary) Zbl 1212.15014 Math. Numer. Sin. 31, No. 3, 225-230 (2009). MSC: 15A09 15A03 PDFBibTeX XMLCite \textit{H. Wang} and \textit{X. Liu}, Math. Numer. Sin. 31, No. 3, 225--230 (2009; Zbl 1212.15014)
Yin, Xiaoyan; Liu, Sanyang; Xiao, Gang Solution and perturbation estimates for the matrix equation \(X-A^*X^{-2}A=Q\). (Chinese. English summary) Zbl 1212.15031 Math. Numer. Sin. 31, No. 2, 151-158 (2009). MSC: 15A24 15B57 65F30 15A12 PDFBibTeX XMLCite \textit{X. Yin} et al., Math. Numer. Sin. 31, No. 2, 151--158 (2009; Zbl 1212.15031)
Chen, Xiaoshan On the Bauer-Fike type relative perturbation bounds for eigenvalue and generalized eigenvalue problems. (Chinese. English summary) Zbl 1174.65365 Math. Numer. Sin. 30, No. 4, 409-416 (2008). MSC: 65F15 15A42 PDFBibTeX XMLCite \textit{X. Chen}, Math. Numer. Sin. 30, No. 4, 409--416 (2008; Zbl 1174.65365)
Liao, Anping; Duan, Xuefeng; Shen, Jinrong Hermitian positive definite solutions of the matrix equation \(X+A^*X^{-q}A=Q(q\geq 1)\). (Chinese. English summary) Zbl 1174.15343 Math. Numer. Sin. 30, No. 4, 369-378 (2008). MSC: 15A24 65F30 PDFBibTeX XMLCite \textit{A. Liao} et al., Math. Numer. Sin. 30, No. 4, 369--378 (2008; Zbl 1174.15343)
Niu, Datian; Jia, Zhongxiao; Wang, Kanmin A refined harmonic Lanczos bidiagonalization for computing smallest singular triplets. (Chinese. English summary) Zbl 1174.65377 Math. Numer. Sin. 30, No. 3, 311-326 (2008). MSC: 65F20 15A18 PDFBibTeX XMLCite \textit{D. Niu} et al., Math. Numer. Sin. 30, No. 3, 311--326 (2008; Zbl 1174.65377)
Tuo, Qing; Zhu, Li; Liu, Jianzhou One type of new criteria conditions for nonsingular \(H\)-matrices. (Chinese. English summary) Zbl 1174.15367 Math. Numer. Sin. 30, No. 2, 177-182 (2008). MSC: 15B57 PDFBibTeX XMLCite \textit{Q. Tuo} et al., Math. Numer. Sin. 30, No. 2, 177--182 (2008; Zbl 1174.15367)
Wang, Weiguo; Liu, Xinguo Several new results on the polar decomposition and generalized polar decomposition. (Chinese. English summary) Zbl 1174.15336 Math. Numer. Sin. 30, No. 2, 147-156 (2008). MSC: 15A23 15A18 65F15 65F35 PDFBibTeX XMLCite \textit{W. Wang} and \textit{X. Liu}, Math. Numer. Sin. 30, No. 2, 147--156 (2008; Zbl 1174.15336)
Li, Jing; Zhang, Yuhai The Hermitian positive definite solution and its perturbation analysis for the matrix equation \(X-A^*X^{-1}A=Q\). (Chinese. English summary) Zbl 1174.65385 Math. Numer. Sin. 30, No. 2, 129-142 (2008). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{J. Li} and \textit{Y. Zhang}, Math. Numer. Sin. 30, No. 2, 129--142 (2008; Zbl 1174.65385)
Yin, Xiaoyan; Liu, Sanyang; Fang, Liang Solutions and perturbation estimates for the matrix equation \(X+A^*X^{-n}A=P\). (Chinese. English summary) Zbl 1164.65390 Math. Numer. Sin. 30, No. 1, 37-48 (2008). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{X. Yin} et al., Math. Numer. Sin. 30, No. 1, 37--48 (2008; Zbl 1164.65390)
Yuan, Shi Fang; Liao, An Ping; Lei, Yuan Least squares symmetric solution of the matrix equation \(AXB+CYD=E\) with the least norm. (Chinese. English summary) Zbl 1495.15025 Math. Numer. Sin. 29, No. 2, 203-216 (2007). MSC: 15A24 65F99 PDFBibTeX XMLCite \textit{S. F. Yuan} et al., Math. Numer. Sin. 29, No. 2, 203--216 (2007; Zbl 1495.15025)
Wang, Ming Hui; Wei, Mu Sheng; Jiang, Tong Song Minimum-norm least-squares symmetric solutions of the matrix equation \(AXB=E\) with a submatrix constraint. (Chinese. English summary) Zbl 1495.15024 Math. Numer. Sin. 29, No. 2, 147-154 (2007). MSC: 15A24 65F99 PDFBibTeX XMLCite \textit{M. H. Wang} et al., Math. Numer. Sin. 29, No. 2, 147--154 (2007; Zbl 1495.15024)
Gao, Dongjie; Zhang, Yuhai Perturbation analysis of the Hermitian positive definite solutions of the matrix equation \(X-A^*X^qA=I(0<q<1)\). (Chinese. English summary) Zbl 1141.15320 Math. Numer. Sin. 29, No. 4, 403-412 (2007). MSC: 15A24 65F30 PDFBibTeX XMLCite \textit{D. Gao} and \textit{Y. Zhang}, Math. Numer. Sin. 29, No. 4, 403--412 (2007; Zbl 1141.15320)
Zhang, Yongping; Cheng, Fang; Guo, Xijuan Inverse \(M\)-matrices completions of the cyclic 1,2-chordal digraph and the algorithm design. (Chinese. English summary) Zbl 1141.15312 Math. Numer. Sin. 29, No. 4, 345-358 (2007). MSC: 15A09 15B48 05C20 05C50 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Math. Numer. Sin. 29, No. 4, 345--358 (2007; Zbl 1141.15312)
Huang, Jingpin On parameter iterative method for solving the mixed-type Lyapunov matrix equation. (Chinese. English summary) Zbl 1142.65338 Math. Numer. Sin. 29, No. 3, 285-292 (2007). MSC: 65F30 65F20 15A24 PDFBibTeX XMLCite \textit{J. Huang}, Math. Numer. Sin. 29, No. 3, 285--292 (2007; Zbl 1142.65338)
Wang, Xueping; Yang, Yan On the computational complexity of the Schein rank of fuzzy matrices. (Chinese. English summary) Zbl 1140.65328 Math. Numer. Sin. 29, No. 3, 273-284 (2007). MSC: 65F30 15A03 15A24 05C15 08A72 65Y20 PDFBibTeX XMLCite \textit{X. Wang} and \textit{Y. Yang}, Math. Numer. Sin. 29, No. 3, 273--284 (2007; Zbl 1140.65328)
Cen, Jianmiao On existence of weighted group inverses of rectangular matrices. (Chinese. English summary) Zbl 1121.15303 Math. Numer. Sin. 29, No. 1, 39-48 (2007). MSC: 15A30 15A29 PDFBibTeX XMLCite \textit{J. Cen}, Math. Numer. Sin. 29, No. 1, 39--48 (2007; Zbl 1121.15303)
Gao, Dongjie; Zhang, Yuhai Hermitian positive definite solutions of matrix equation \(X-A^*X^qA=Q (q>0)\). (Chinese. English summary) Zbl 1121.15302 Math. Numer. Sin. 29, No. 1, 73-80 (2007). MSC: 15A24 65H17 PDFBibTeX XMLCite \textit{D. Gao} and \textit{Y. Zhang}, Math. Numer. Sin. 29, No. 1, 73--80 (2007; Zbl 1121.15302)
Xie, Hui Qing; Dai, Hua Sensitivity of multiple eigenvalues of quadratic eigenvalue problems dependent on several parameters. (Chinese. English summary) Zbl 1495.65047 Math. Numer. Sin. 28, No. 1, 75-88 (2006); translation in Chin. J. Numer. Math. Appl. 28, No. 3, 96-111 (2006). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{H. Q. Xie} and \textit{H. Dai}, Math. Numer. Sin. 28, No. 1, 75--88 (2006; Zbl 1495.65047); translation in Chin. J. Numer. Math. Appl. 28, No. 3, 96--111 (2006)
Wang, Xue Feng; Liu, Xin Guo Comparing condition numbers with structured condition numbers for KKT systems. (Chinese. English summary) Zbl 1495.65058 Math. Numer. Sin. 28, No. 2, 211-223 (2006). MSC: 65F35 15A12 90C30 PDFBibTeX XMLCite \textit{X. F. Wang} and \textit{X. G. Liu}, Math. Numer. Sin. 28, No. 2, 211--223 (2006; Zbl 1495.65058)
Meng, Chun Jun; Hu, Xi Yan An inverse problem for symmetric orthogonal matrices and its optimal approximation. (Chinese. English summary) Zbl 1495.15028 Math. Numer. Sin. 28, No. 3, 269-280 (2006). MSC: 15A29 65F99 PDFBibTeX XMLCite \textit{C. J. Meng} and \textit{X. Y. Hu}, Math. Numer. Sin. 28, No. 3, 269--280 (2006; Zbl 1495.15028)
Yang, Yue Ting; Pang, Bo Improvement and applications of the compound-type spectral inclusion region of a matrix. (Chinese. English summary) Zbl 1495.15017 Math. Numer. Sin. 28, No. 3, 259-268 (2006). MSC: 15A18 PDFBibTeX XMLCite \textit{Y. T. Yang} and \textit{B. Pang}, Math. Numer. Sin. 28, No. 3, 259--268 (2006; Zbl 1495.15017)
Chen, Xiao Shan; Li, Wen Perturbation bounds for polar decomposition under unitarily invariant norms. (Chinese. English summary) Zbl 1495.15019 Math. Numer. Sin. 27, No. 2, 121-128 (2005). MSC: 15A23 PDFBibTeX XMLCite \textit{X. S. Chen} and \textit{W. Li}, Math. Numer. Sin. 27, No. 2, 121--128 (2005; Zbl 1495.15019)
Huang, Ting Zhu; Shen, Shu Qian; Zhang, Wei A sequence of upper bounds for the Perron root of a nonnegative irreducible matrix. (Chinese. English summary) Zbl 1495.15047 Math. Numer. Sin. 27, No. 3, 285-290 (2005). MSC: 15B48 PDFBibTeX XMLCite \textit{T. Z. Huang} et al., Math. Numer. Sin. 27, No. 3, 285--290 (2005; Zbl 1495.15047)
Yuan, Yong Xin; Dai, Hua Inverse problems for generalized centrosymmetric matrices on the linear manifold. (Chinese. English summary) Zbl 1495.15031 Math. Numer. Sin. 27, No. 4, 383-394 (2005). MSC: 15A29 15A09 PDFBibTeX XMLCite \textit{Y. X. Yuan} and \textit{H. Dai}, Math. Numer. Sin. 27, No. 4, 383--394 (2005; Zbl 1495.15031)
Gan, Tai Bin; Huang, Ting Zhu Practical sufficient conditions for nonsingular \(H\)-matrices. (Chinese. English summary) Zbl 1495.15004 Math. Numer. Sin. 26, No. 1, 109-116 (2004); translation in Chin. J. Numer. Math. Appl. 26, No. 2, 73-82 (2004). MSC: 15A09 PDFBibTeX XMLCite \textit{T. B. Gan} and \textit{T. Z. Huang}, Math. Numer. Sin. 26, No. 1, 109--116 (2004; Zbl 1495.15004); translation in Chin. J. Numer. Math. Appl. 26, No. 2, 73--82 (2004)
Sheng, Yan Ping; Xie, Dong Xiu Solvability conditions for the inverse problem of symmetric and sub-anti-symmetric matrices. (Chinese. English summary) Zbl 1495.15030 Math. Numer. Sin. 26, No. 1, 73-80 (2004). MSC: 15A29 PDFBibTeX XMLCite \textit{Y. P. Sheng} and \textit{D. X. Xie}, Math. Numer. Sin. 26, No. 1, 73--80 (2004; Zbl 1495.15030)
Wang, Jin Fang; Zhang, Yu Hai; Zhu, Ben Ren The Hermitian positive definite solutions of the matrix equation \(X+A^\ast X^{-q}A=I(q>0)\). (Chinese. English summary) Zbl 1495.15023 Math. Numer. Sin. 26, No. 1, 61-72 (2004); translation in Chin. J. Numer. Math. Appl. 26, No. 2, 14-27 (2004). MSC: 15A24 PDFBibTeX XMLCite \textit{J. F. Wang} et al., Math. Numer. Sin. 26, No. 1, 61--72 (2004; Zbl 1495.15023); translation in Chin. J. Numer. Math. Appl. 26, No. 2, 14--27 (2004)
Wang, Ming Hui; Wei, Mu Sheng Weighted least-squares Hermite solution of the matrix equation \(AXB=E\). (Chinese. English summary) Zbl 1495.65061 Math. Numer. Sin. 26, No. 2, 129-136 (2004); translation in Chin. J. Numer. Math. Appl. 26, No. 3, 10-18 (2004). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{M. H. Wang} and \textit{M. S. Wei}, Math. Numer. Sin. 26, No. 2, 129--136 (2004; Zbl 1495.65061); translation in Chin. J. Numer. Math. Appl. 26, No. 3, 10--18 (2004)
Dai, Hua Least-squares solutions of inverse problems for symmetric ortho-symmetric matrices. (Chinese. English summary) Zbl 1495.65060 Math. Numer. Sin. 25, No. 1, 59-66 (2003). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{H. Dai}, Math. Numer. Sin. 25, No. 1, 59--66 (2003; Zbl 1495.65060)
Hu, Xi Yan; Zhang, Lei; Zhou, Fu Zhao The inverse eigenvalue problem of symmetric ortho-symmetric matrices. (Chinese. English summary) Zbl 1495.15012 Math. Numer. Sin. 25, No. 1, 13-22 (2003). MSC: 15A18 15A29 PDFBibTeX XMLCite \textit{X. Y. Hu} et al., Math. Numer. Sin. 25, No. 1, 13--22 (2003; Zbl 1495.15012)
Zhang, Zhong Zhi; Hu, Xi Yang; Zhang, Lei Least-squares solutions of inverse problems for Hermite-generalized anti-Hamiltonian matrices on the linear manifold. (Chinese. English summary) Zbl 1495.15027 Math. Numer. Sin. 25, No. 2, 209-218 (2003). MSC: 15A24 PDFBibTeX XMLCite \textit{Z. Z. Zhang} et al., Math. Numer. Sin. 25, No. 2, 209--218 (2003; Zbl 1495.15027)
Lu, Lin Zhang; Ma, Fei Upper and lower bounds for the Perron roots of nonnegative matrices. (Chinese. English summary) Zbl 1495.15048 Math. Numer. Sin. 25, No. 2, 193-198 (2003). MSC: 15B48 15A42 PDFBibTeX XMLCite \textit{L. Z. Lu} and \textit{F. Ma}, Math. Numer. Sin. 25, No. 2, 193--198 (2003; Zbl 1495.15048)
Ma, Chang She; Hu, Xi Yan; Zhang, Lei Construction of a Jacobian matrix from its prescribed specially ordered defective eigenpairs and a principal submatrix. (Chinese. English summary) Zbl 1495.65050 Math. Numer. Sin. 25, No. 4, 463-470 (2003). MSC: 65F18 15A18 15A29 PDFBibTeX XMLCite \textit{C. S. Ma} et al., Math. Numer. Sin. 25, No. 4, 463--470 (2003; Zbl 1495.65050)
Liao, An Ping; Bai, Zhong Zhi Bisymmetric least-squares solutions of the matrix equation \(A^TXA=D\). (Chinese. English summary) Zbl 1495.65028 Math. Numer. Sin. 24, No. 1, 9-20 (2002). MSC: 65F05 15A24 PDFBibTeX XMLCite \textit{A. P. Liao} and \textit{Z. Z. Bai}, Math. Numer. Sin. 24, No. 1, 9--20 (2002; Zbl 1495.65028)
Ouyang, Bai Yu; Tong, Wen Ting A class of left and right inverse eigenvalue problems for semipositive subdefinite matrices. II. (Chinese. English summary) Zbl 1495.15029 Math. Numer. Sin. 24, No. 2, 189-196 (2002). MSC: 15A29 15A18 PDFBibTeX XMLCite \textit{B. Y. Ouyang} and \textit{W. T. Tong}, Math. Numer. Sin. 24, No. 2, 189--196 (2002; Zbl 1495.15029)
Yuan, Yong Xin The optimal solution of linear matrix equations by using matrix decompositions. (Chinese. English summary) Zbl 1495.15026 Math. Numer. Sin. 24, No. 2, 165-176 (2002). MSC: 15A24 65F99 PDFBibTeX XMLCite \textit{Y. X. Yuan}, Math. Numer. Sin. 24, No. 2, 165--176 (2002; Zbl 1495.15026)
Fan, Yi Zheng Inertia and some interlacing properties for the Schur complement of a symmetric \(Z\)-matrix. (Chinese. English summary) Zbl 1495.15009 Math. Numer. Sin. 24, No. 2, 157-164 (2002). MSC: 15A18 15B57 PDFBibTeX XMLCite \textit{Y. Z. Fan}, Math. Numer. Sin. 24, No. 2, 157--164 (2002; Zbl 1495.15009)
Liao, An Ping; Xie, Dong Xiu Least-squares solution for a class of inverse eigenvalue problems for bisymmetric nonnegative definite matrices. (Chinese. English summary) Zbl 1495.65049 Math. Numer. Sin. 23, No. 2, 209-218 (2001). MSC: 65F18 15A29 15B48 PDFBibTeX XMLCite \textit{A. P. Liao} and \textit{D. X. Xie}, Math. Numer. Sin. 23, No. 2, 209--218 (2001; Zbl 1495.65049)
Liu, Xin Guo Sensitivity analysis of some matrix decompositions. (Chinese. English summary) Zbl 1495.65056 Math. Numer. Sin. 23, No. 3, 279-288 (2001). MSC: 65F35 15A23 PDFBibTeX XMLCite \textit{X. G. Liu}, Math. Numer. Sin. 23, No. 3, 279--288 (2001; Zbl 1495.65056)
Li, Zhu Xiang; Pang, Ming Xian \( \alpha \)-connective diagonally dominant matrices according to circuit and their applications. (Chinese. English summary) Zbl 1495.15050 Math. Numer. Sin. 23, No. 3, 271-278 (2001). MSC: 15B57 PDFBibTeX XMLCite \textit{Z. X. Li} and \textit{M. X. Pang}, Math. Numer. Sin. 23, No. 3, 271--278 (2001; Zbl 1495.15050)
Yuan, Yong Xin Two classes of best approximation problems of matrices. (Chinese. English summary) Zbl 1495.15022 Math. Numer. Sin. 23, No. 4, 429-436 (2001). MSC: 15A23 65F99 PDFBibTeX XMLCite \textit{Y. X. Yuan}, Math. Numer. Sin. 23, No. 4, 429--436 (2001; Zbl 1495.15022)
Zhang, Lei; Xie, Dong Xiu; Hu, Xi Yan The inverse eigenvalue problems of bisymmetric matrices on the linear manifolds. (Chinese. English summary) Zbl 1495.65048 Math. Numer. Sin. 22, No. 2, 129-138 (2000). MSC: 65F15 15A18 15A29 PDFBibTeX XMLCite \textit{L. Zhang} et al., Math. Numer. Sin. 22, No. 2, 129--138 (2000; Zbl 1495.65048)
Liu, Xinguo; Guo, Xiaoxia On sensitivity analysis of the discrete-time algebraic Riccati equation. (Chinese. English summary) Zbl 0947.15007 Math. Numer. Sin. 21, No. 2, 163-170 (1999). Reviewer: Chen Zhijie (Shanghai) MSC: 15A24 93C55 93B35 PDFBibTeX XMLCite \textit{X. Liu} and \textit{X. Guo}, Math. Numer. Sin. 21, No. 2, 163--170 (1999; Zbl 0947.15007)
Li, Zhuxiang; Pang, Mingxian The estimations of lower bounds for singular value of matrix. (Chinese. English summary) Zbl 0922.15007 Math. Numer. Sin. 20, No. 4, 377-382 (1998). MSC: 15A42 PDFBibTeX XMLCite \textit{Z. Li} and \textit{M. Pang}, Math. Numer. Sin. 20, No. 4, 377--382 (1998; Zbl 0922.15007)
Liao, Anping A class of inverse problems of matrix equation \(AX=B\) and its numerical solution on the linear manifold. (Chinese. English summary) Zbl 0922.65028 Math. Numer. Sin. 20, No. 4, 371-376 (1998). MSC: 65F20 15A24 PDFBibTeX XMLCite \textit{A. Liao}, Math. Numer. Sin. 20, No. 4, 371--376 (1998; Zbl 0922.65028)
Ouyang, Baiyu A class of left and right inverse eigenvalue problem for semipositive subdefinite matrices. (Chinese. English summary) Zbl 0929.15013 Math. Numer. Sin. 20, No. 4, 345-352 (1998). Reviewer: Chen Zhijie (Shanghai) MSC: 15A24 15A18 PDFBibTeX XMLCite \textit{B. Ouyang}, Math. Numer. Sin. 20, No. 4, 345--352 (1998; Zbl 0929.15013)
Huang, Tinzhu; You, Zhaoyong Lower bounds for the smallest singular value of matrices. (Chinese. English summary) Zbl 0926.15017 Math. Numer. Sin. 19, No. 4, 359-364 (1997). MSC: 15A42 15A12 PDFBibTeX XMLCite \textit{T. Huang} and \textit{Z. You}, Math. Numer. Sin. 19, No. 4, 359--364 (1997; Zbl 0926.15017)
Zhang, Yuhai; Li, Changying On the sufficient conditions for the solvability of the multiplicative inverse eigenvalue problem. (Chinese. English summary) Zbl 0926.15007 Math. Numer. Sin. 19, No. 4, 337-344 (1997). MSC: 15A18 15A29 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{C. Li}, Math. Numer. Sin. 19, No. 4, 337--344 (1997; Zbl 0926.15007)
Liu, Xinguo On Wilkinson condition numbers of nondefective multiplegeneralized eigenvalues. (Chinese. English summary) Zbl 0906.15011 Math. Numer. Sin. 19, No. 3, 233-240 (1997). MSC: 15A42 15A12 65F15 65F35 PDFBibTeX XMLCite \textit{X. Liu}, Math. Numer. Sin. 19, No. 3, 233--240 (1997; Zbl 0906.15011)
Liu, Xinguo On Weyl-type theorems. (Chinese. English summary) Zbl 0882.15013 Math. Numer. Sin. 19, No. 2, 123-127 (1997). Reviewer: Zhang Jule (Wuhu) MSC: 15A42 PDFBibTeX XMLCite \textit{X. Liu}, Math. Numer. Sin. 19, No. 2, 123--127 (1997; Zbl 0882.15013)
Zhang, Yuhai; Zhu, Benren On the sufficient conditions for the solvability of general algebraic inverse eigenvalue problems. (Chinese. English summary) Zbl 0879.15005 Math. Numer. Sin. 18, No. 1, 96-102 (1996). Reviewer: M.-Y.Wu (Boulder) MSC: 15A18 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{B. Zhu}, Math. Numer. Sin. 18, No. 1, 96--102 (1996; Zbl 0879.15005)
Liao, Anping; Guo, Zhong A class of inverse eigenvalue problems for real symmetric semi-positive definite matrices on a linear manifold. (Chinese. English summary) Zbl 0878.15003 Math. Numer. Sin. 18, No. 3, 279-284 (1996). Reviewer: Tong Wenting (Nanjing) MSC: 15A18 15B57 65F15 PDFBibTeX XMLCite \textit{A. Liao} and \textit{Z. Guo}, Math. Numer. Sin. 18, No. 3, 279--284 (1996; Zbl 0878.15003)
Cheng, Lizhi Inversion formula and fast solution for general Chebyshev-Vandermonde equations. (Chinese. English summary) Zbl 0877.65011 Math. Numer. Sin. 18, No. 2, 177-182 (1996). Reviewer: Liu Xinguo (Qingdao) MSC: 65F05 15A09 65Y20 PDFBibTeX XMLCite \textit{L. Cheng}, Math. Numer. Sin. 18, No. 2, 177--182 (1996; Zbl 0877.65011)
Lü, Tongxing On the construction of a Jacobi matrix from mixed data. (Chinese. English summary) Zbl 0874.15006 Math. Numer. Sin. 18, No. 2, 171-176 (1996). Reviewer: Xu Chengxian (Xian) MSC: 15A18 PDFBibTeX XMLCite \textit{T. Lü}, Math. Numer. Sin. 18, No. 2, 171--176 (1996; Zbl 0874.15006)
Liu, Xinguo On the perturbation bounds for some matrix factorizations. (Chinese. English summary) Zbl 0878.65017 Math. Numer. Sin. 18, No. 4, 377-382 (1996). Reviewer: Liu Xinguo (Qingdao) MSC: 65F05 15A23 PDFBibTeX XMLCite \textit{X. Liu}, Math. Numer. Sin. 18, No. 4, 377--382 (1996; Zbl 0878.65017)
Gu, Chuanqing; Chen, Zhibing Matrix valued rational interpolants and its error formula. (Chinese. English summary) Zbl 0860.41018 Math. Numer. Sin. 17, No. 1, 73-77 (1995). Reviewer: Wang Cun-Zheng (Chengdu) MSC: 41A20 41A63 41A80 15A54 40A15 PDFBibTeX XMLCite \textit{C. Gu} and \textit{Z. Chen}, Math. Numer. Sin. 17, No. 1, 73--77 (1995; Zbl 0860.41018)
Zhang, Zhinan Ascertaining the Jordan block structure of a matrix by purely rational operations. (Chinese. English summary) Zbl 0860.65024 Math. Numer. Sin. 17, No. 4, 381-390 (1995). Reviewer: Wang Cun-Zheng (Chengdu) MSC: 65F15 15A21 PDFBibTeX XMLCite \textit{Z. Zhang}, Math. Numer. Sin. 17, No. 4, 381--390 (1995; Zbl 0860.65024)
Huang, Tinzhu Generalizations of Ostrowski’s theorem and conditions for \(H\)-matrices. (Chinese. English summary) Zbl 0925.15018 Math. Numer. Sin. 16, No. 1, 19-24 (1994). MSC: 15B57 15A42 PDFBibTeX XMLCite \textit{T. Huang}, Math. Numer. Sin. 16, No. 1, 19--24 (1994; Zbl 0925.15018)
Zhang, Yuhai The solubility of additive and multiplicative inverse eigenvalue problems. (Chinese. English summary) Zbl 0850.15007 Math. Numer. Sin. 15, No. 4, 489-494 (1993). MSC: 15A18 PDFBibTeX XMLCite \textit{Y. Zhang}, Math. Numer. Sin. 15, No. 4, 489--494 (1993; Zbl 0850.15007)
Sun, Jiguang Numerical computation of the sensitivities of multiple eigenvalues. (Chinese. English summary) Zbl 0850.65063 Math. Numer. Sin. 14, No. 1, 10-19 (1992). MSC: 65F15 15A42 PDFBibTeX XMLCite \textit{J. Sun}, Math. Numer. Sin. 14, No. 1, 10--19 (1992; Zbl 0850.65063)