Zhang, Fengxia; Wei, Musheng; Li, Ying; Zhao, Jianli An efficient method for least-squares problem of the quaternion matrix equation \(X - A\hat{X}B = C\). (English) Zbl 1514.65031 Linear Multilinear Algebra 70, No. 13, 2569-2581 (2022). MSC: 65F45 15A24 15B33 PDFBibTeX XMLCite \textit{F. Zhang} et al., Linear Multilinear Algebra 70, No. 13, 2569--2581 (2022; Zbl 1514.65031) Full Text: DOI
Zhang, Fengxia; Wei, Musheng; Li, Ying; Zhao, Jianli An efficient real representation method for least squares problem of the quaternion constrained matrix equation \(AXB + CY D = E\). (English) Zbl 1484.65080 Int. J. Comput. Math. 98, No. 7, 1408-1419 (2021). MSC: 65F45 15A24 15B33 PDFBibTeX XMLCite \textit{F. Zhang} et al., Int. J. Comput. Math. 98, No. 7, 1408--1419 (2021; Zbl 1484.65080) Full Text: DOI
Zhang, Yanzhen; Li, Ying; Wei, Musheng; Zhao, Hong An algorithm based on QSVD for the quaternion equality constrained least squares problem. (English) Zbl 1472.65048 Numer. Algorithms 87, No. 4, 1563-1576 (2021). MSC: 65F20 15B33 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Numer. Algorithms 87, No. 4, 1563--1576 (2021; Zbl 1472.65048) Full Text: DOI
Li, Ying; Wei, Musheng; Zhang, Fengxia; Zhao, Jianli On accurate error estimates for the quaternion least squares and weighted least squares problems. (English) Zbl 1480.65089 Int. J. Comput. Math. 97, No. 8, 1662-1677 (2020). MSC: 65F20 65F35 15A12 15A18 PDFBibTeX XMLCite \textit{Y. Li} et al., Int. J. Comput. Math. 97, No. 8, 1662--1677 (2020; Zbl 1480.65089) Full Text: DOI
Li, Ying; Zhang, Yanzhen; Wei, Musheng; Zhao, Hong Real structure-preserving algorithm for quaternion equality constrained least squares problem. (English) Zbl 1454.15012 Math. Methods Appl. Sci. 43, No. 7, 4558-4566 (2020). MSC: 15A24 15A67 65F45 PDFBibTeX XMLCite \textit{Y. Li} et al., Math. Methods Appl. Sci. 43, No. 7, 4558--4566 (2020; Zbl 1454.15012) Full Text: DOI
Shen, Dongmei; Wei, Musheng All solutions of the Yang-Baxter-like matrix equation for diagonalizable coefficient matrix with two different eigenvalues. (English) Zbl 1425.15013 Appl. Math. Lett. 101, Article ID 106048, 8 p. (2020). MSC: 15A24 16T25 PDFBibTeX XMLCite \textit{D. Shen} and \textit{M. Wei}, Appl. Math. Lett. 101, Article ID 106048, 8 p. (2020; Zbl 1425.15013) Full Text: DOI
Li, Ying; Wei, Musheng; Zhang, Fengxia; Zhao, Jianli On the power method for quaternion right eigenvalue problem. (English) Zbl 1402.15006 J. Comput. Appl. Math. 345, 59-69 (2019). Reviewer: Janko Marovt (Maribor) MSC: 15A18 15B33 15B57 65F15 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Comput. Appl. Math. 345, 59--69 (2019; Zbl 1402.15006) Full Text: DOI
Zhang, Fengxia; Wei, Musheng; Li, Ying; Zhao, Jianli An efficient method for special least squares solution of the complex matrix equation \((AXB,CXD)=(E,F)\). (English) Zbl 1442.65070 Comput. Math. Appl. 76, No. 8, 2001-2010 (2018). MSC: 65F45 15A24 PDFBibTeX XMLCite \textit{F. Zhang} et al., Comput. Math. Appl. 76, No. 8, 2001--2010 (2018; Zbl 1442.65070) Full Text: DOI
Zhang, Fengxia; Wei, Musheng; Li, Ying; Zhao, Jianli The minimal norm least squares Hermitian solution of the complex matrix equation \(AXB+CXD=E\). (English) Zbl 1393.93055 J. Franklin Inst. 355, No. 3, 1296-1310 (2018). MSC: 93C05 15A24 15A09 PDFBibTeX XMLCite \textit{F. Zhang} et al., J. Franklin Inst. 355, No. 3, 1296--1310 (2018; Zbl 1393.93055) Full Text: DOI
Shen, Dongmei; Wei, Musheng; Jia, Zhigang On commuting solutions of the Yang-Baxter-like matrix equation. (English) Zbl 1388.15014 J. Math. Anal. Appl. 462, No. 1, 665-696 (2018). MSC: 15A24 15A27 16T25 15B05 PDFBibTeX XMLCite \textit{D. Shen} et al., J. Math. Anal. Appl. 462, No. 1, 665--696 (2018; Zbl 1388.15014) Full Text: DOI
Li, Ying; Wei, Musheng; Zhang, Fengxia; Zhao, Jianli A real structure-preserving method for the quaternion LU decomposition, revisited. (English) Zbl 1382.65073 Calcolo 54, No. 4, 1553-1563 (2017). MSC: 65F05 15B33 PDFBibTeX XMLCite \textit{Y. Li} et al., Calcolo 54, No. 4, 1553--1563 (2017; Zbl 1382.65073) Full Text: DOI
Li, Ying; Wei, Musheng; Zhang, Fengxia; Zhao, Jianli A new double color image watermarking algorithm based on the SVD and Arnold scrambling. (English) Zbl 1435.94033 J. Appl. Math. 2016, Article ID 2497379, 9 p. (2016). MSC: 94A08 15B33 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Appl. Math. 2016, Article ID 2497379, 9 p. (2016; Zbl 1435.94033) Full Text: DOI
Li, Ying; Wei, Musheng; Zhang, Fengxia; Zhao, Jianli Real structure-preserving algorithms of Householder based transformations for quaternion matrices. (English) Zbl 1386.65120 J. Comput. Appl. Math. 305, 82-91 (2016). MSC: 65F25 15B33 PDFBibTeX XMLCite \textit{Y. Li} et al., J. Comput. Appl. Math. 305, 82--91 (2016; Zbl 1386.65120) Full Text: DOI
Zhang, Fengxia; Wei, Musheng; Li, Ying; Zhao, Jianli Special least squares solutions of the quaternion matrix equation \(A X = B\) with applications. (English) Zbl 1410.15036 Appl. Math. Comput. 270, 425-433 (2015). MSC: 15A24 15A09 15B33 PDFBibTeX XMLCite \textit{F. Zhang} et al., Appl. Math. Comput. 270, 425--433 (2015; Zbl 1410.15036) Full Text: DOI
Shen, Dongmei; Wei, Musheng; Liu, Yonghui Minimum rank (skew) Hermitian solutions to the matrix approximation problem in the spectral norm. (English) Zbl 1320.65065 J. Comput. Appl. Math. 288, 351-365 (2015). MSC: 65F30 15B57 15A24 15A60 PDFBibTeX XMLCite \textit{D. Shen} et al., J. Comput. Appl. Math. 288, 351--365 (2015; Zbl 1320.65065) Full Text: DOI
Ling, Sitao; Wei, Musheng; Jia, Zhigang Perturbation analysis for the matrix least squares problem \(A X B = C\). (English) Zbl 1295.65044 J. Comput. Appl. Math. 273, 150-159 (2015). MSC: 65F20 65F30 15A24 PDFBibTeX XMLCite \textit{S. Ling} et al., J. Comput. Appl. Math. 273, 150--159 (2015; Zbl 1295.65044) Full Text: DOI
Li, Ying; Wei, Musheng; Zhang, Fengxia; Zhao, Jianli A fast structure-preserving method for computing the singular value decomposition of quaternion matrices. (English) Zbl 1336.65057 Appl. Math. Comput. 235, 157-167 (2014). MSC: 65F15 15B33 PDFBibTeX XMLCite \textit{Y. Li} et al., Appl. Math. Comput. 235, 157--167 (2014; Zbl 1336.65057) Full Text: DOI
Wang, Minghui; Wei, Musheng; Hu, Shanrui The extremal solution of the matrix equation \(X^s+A^\ast X^{-q}A=I\). (English) Zbl 1329.15042 Appl. Math. Comput. 220, 193-199 (2013). MSC: 15A24 65H10 PDFBibTeX XMLCite \textit{M. Wang} et al., Appl. Math. Comput. 220, 193--199 (2013; Zbl 1329.15042) Full Text: DOI
Wang, Minghui; Wei, Musheng On matrix equation \(X^s+A^*X^{-q}A=I^*\). (English) Zbl 1289.65111 Numer. Math., Nanjing 34, No. 3, 277-288 (2012). MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{M. Wang} and \textit{M. Wei}, Numer. Math., Nanjing 34, No. 3, 277--288 (2012; Zbl 1289.65111)
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
Zhao, Meixiang; Jia, Zhigang; Wei, Musheng Symmetric inverse generalized eigenvalue problem with submatrix constraints in structural dynamic model updating. (English) Zbl 1254.15018 Electron. J. Linear Algebra 22, 729-742 (2011). MSC: 15A18 15A29 65F18 PDFBibTeX XMLCite \textit{M. Zhao} et al., Electron. J. Linear Algebra 22, 729--742 (2011; Zbl 1254.15018) Full Text: DOI EMIS
Jia, Zhigang; Wei, Musheng; Zhao, Meixiang Procrustes problem of Hermitian degree a \(k\) \(R\)-symmetric matrix and its approximation problem. (Chinese. English summary) Zbl 1240.15004 Acta Math. Sci., Ser. A, Chin. Ed. 31, No. 2, 320-327 (2011). MSC: 15A06 65F30 15A24 15B57 PDFBibTeX XMLCite \textit{Z. Jia} et al., Acta Math. Sci., Ser. A, Chin. Ed. 31, No. 2, 320--327 (2011; Zbl 1240.15004)
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
Wang, Hongxing; Wei, Musheng New representations for the Moore-Penrose inverse. (English) Zbl 1223.15011 Electron. J. Linear Algebra 22, 720-728 (2011). MSC: 15A09 PDFBibTeX XMLCite \textit{H. Wang} and \textit{M. Wei}, Electron. J. Linear Algebra 22, 720--728 (2011; Zbl 1223.15011) Full Text: DOI EuDML EMIS
Shen, Dongmei; Wei, Musheng A class of new unitarily invariant metrics. (Chinese. English summary) Zbl 1240.15042 Numer. Math., Nanjing 32, No. 4, 315-320 (2010). MSC: 15A60 65F35 PDFBibTeX XMLCite \textit{D. Shen} and \textit{M. Wei}, Numer. Math., Nanjing 32, No. 4, 315--320 (2010; Zbl 1240.15042)
Ling, Sitao; Wang, Minghui; Wei, Musheng Hermitian tridiagonal solution with the least norm to quaternionic least squares problem. (English) Zbl 1205.81086 Comput. Phys. Commun. 181, No. 3, 481-488 (2010). MSC: 81Q10 15B33 81-08 65D99 93E24 PDFBibTeX XMLCite \textit{S. Ling} et al., Comput. Phys. Commun. 181, No. 3, 481--488 (2010; Zbl 1205.81086) Full Text: DOI
Wei, Musheng; Cheng, Xuehan; Wang, Qian A canonical decomposition of the right invertible system with applications. (English) Zbl 1207.93019 SIAM J. Matrix Anal. Appl. 31, No. 4, 1958-1981 (2010). MSC: 93B10 15A21 93B25 PDFBibTeX XMLCite \textit{M. Wei} et al., SIAM J. Matrix Anal. Appl. 31, No. 4, 1958--1981 (2010; Zbl 1207.93019) Full Text: DOI
Wang, Minghui; Wei, Musheng; Feng, Yan An iterative algorithm for a least squares solution of a matrix equation. (English) Zbl 1191.65045 Int. J. Comput. Math. 87, No. 6, 1289-1298 (2010). MSC: 65F30 15A24 65F20 PDFBibTeX XMLCite \textit{M. Wang} et al., Int. J. Comput. Math. 87, No. 6, 1289--1298 (2010; Zbl 1191.65045) Full Text: DOI
Jia, Zhigang; Wang, Qian; Wei, Musheng Procrustes problems for (\(P,Q,\eta \))-reflexive matrices. (English) Zbl 1188.65049 J. Comput. Appl. Math. 233, No. 11, 3041-3045 (2010). Reviewer: Constantin Popa (Constanţa) MSC: 65F18 65F20 15B57 PDFBibTeX XMLCite \textit{Z. Jia} et al., J. Comput. Appl. Math. 233, No. 11, 3041--3045 (2010; Zbl 1188.65049) Full Text: DOI
Ling, Sitao; Jiang, Tongsong; Wei, Musheng An algebraic method for least squares problems in quaternionic quantum theory. (English) Zbl 1212.65159 J. East China Norm. Univ., Nat. Sci. Ed. 2009, No. 4, 39-46 (2009). MSC: 65F20 15B33 81R99 15A60 PDFBibTeX XMLCite \textit{S. Ling} et al., J. East China Norm. Univ., Nat. Sci. Ed. 2009, No. 4, 39--46 (2009; Zbl 1212.65159)
Wei, Musheng; Zhang, Jinbing On perturbations of some constrained subspaces. (English) Zbl 1166.65015 J. Comput. Appl. Math. 226, No. 1, 155-165 (2009). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F20 65F15 15A18 PDFBibTeX XMLCite \textit{M. Wei} and \textit{J. Zhang}, J. Comput. Appl. Math. 226, No. 1, 155--165 (2009; Zbl 1166.65015) Full Text: DOI
Jia, Zhigang; Wei, Musheng Solvability and sensitivity analysis of polynomial matrix equation \(X^s + A^TX^tA = Q\). (English) Zbl 1162.15006 Appl. Math. Comput. 209, No. 2, 230-237 (2009). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 PDFBibTeX XMLCite \textit{Z. Jia} and \textit{M. Wei}, Appl. Math. Comput. 209, No. 2, 230--237 (2009; Zbl 1162.15006) Full Text: DOI
Wang, Minghui; Wei, Musheng; Jia, Zhigang Mixed-type reverse order law of \((AB)^{(13)}\). (English) Zbl 1160.15008 Linear Algebra Appl. 430, No. 5-6, 1691-1699 (2009). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A09 15A18 PDFBibTeX XMLCite \textit{M. Wang} et al., Linear Algebra Appl. 430, No. 5--6, 1691--1699 (2009; Zbl 1160.15008) Full Text: DOI
Wang, Minghui; Wei, Musheng; Feng, Yan An iterative algorithm for least squares problem in quaternionic quantum theory. (English) Zbl 1197.81138 Comput. Phys. Commun. 179, No. 4, 203-207 (2008). MSC: 81Q65 15A24 15B33 PDFBibTeX XMLCite \textit{M. Wang} et al., Comput. Phys. Commun. 179, No. 4, 203--207 (2008; Zbl 1197.81138) Full Text: DOI
Ling, Sitao; Cheng, Xuehan; Wei, Musheng On Hermitian solutions to general linear quaternionic matrix equations. (Chinese. English summary) Zbl 1199.15049 J. Shandong Univ., Nat. Sci. 43, No. 12, 1-4 (2008). MSC: 15A24 15B33 PDFBibTeX XMLCite \textit{S. Ling} et al., J. Shandong Univ., Nat. Sci. 43, No. 12, 1--4 (2008; Zbl 1199.15049) Full Text: EuDML
Xu, Xiangjian; Wang, Minghui; Wei, Musheng An iterative algorithm for solving least Frobenius norm problem of an inconsistent matrix equation pair. (English) Zbl 1199.65151 J. East China Norm. Univ., Nat. Sci. Ed. 2008, No. 3, 30-36 (2008). MSC: 65F30 65F10 15A24 PDFBibTeX XMLCite \textit{X. Xu} et al., J. East China Norm. Univ., Nat. Sci. Ed. 2008, No. 3, 30--36 (2008; Zbl 1199.65151)
Wei, Musheng; Liu, Qiaohua On growth factors of the LU factorization. (English) Zbl 1199.65085 Numer. Math., Nanjing 30, No. 4, 363-374 (2008). MSC: 65F05 15A23 65F35 PDFBibTeX XMLCite \textit{M. Wei} and \textit{Q. Liu}, Numer. Math., Nanjing 30, No. 4, 363--374 (2008; Zbl 1199.65085)
Liu, Qiaohua; Wei, Musheng Reverse order law for least squares g-inverses of multiple matrix products. (English) Zbl 1152.15006 Linear Multilinear Algebra 56, No. 5, 491-506 (2008). Reviewer: Lubomír Bakule (Praha) MSC: 15A09 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{M. Wei}, Linear Multilinear Algebra 56, No. 5, 491--506 (2008; Zbl 1152.15006) Full Text: DOI
Jiang, Tongsong; Zhao, Jianli; Wei, Musheng A new technique of quaternion equality constrained least squares problem. (English) Zbl 1146.65032 J. Comput. Appl. Math. 216, No. 2, 509-513 (2008). Reviewer: Petko Hr. Petkov (Sofia) MSC: 65F20 65F30 15B33 PDFBibTeX XMLCite \textit{T. Jiang} et al., J. Comput. Appl. Math. 216, No. 2, 509--513 (2008; Zbl 1146.65032) Full Text: DOI
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)
Wang, Minghui; Wei, Musheng On the estimates of Euclid distance of the spectrum for arbitrary matrices. (Chinese. English summary) Zbl 1140.15313 Chin. J. Eng. Math. 24, No. 3, 555-558 (2007). MSC: 15A42 PDFBibTeX XMLCite \textit{M. Wang} and \textit{M. Wei}, Chin. J. Eng. Math. 24, No. 3, 555--558 (2007; Zbl 1140.15313)
Guo, Wenbin; Wei, Musheng; Jianli, Zhao Forward order law for \(g\)-inverses of the product of two matrices. (English) Zbl 1131.15004 Appl. Math. Comput. 189, No. 2, 1749-1754 (2007). Reviewer: Nicholas Karampetakis (Thessaloniki) MSC: 15A09 15A24 PDFBibTeX XMLCite \textit{W. Guo} et al., Appl. Math. Comput. 189, No. 2, 1749--1754 (2007; Zbl 1131.15004) Full Text: DOI
Liu, Yong Hui; Wei, Mu Sheng On the block independence in \(g\)-inverse and reflexive inner inverse of a partitioned matrix. (English) Zbl 1123.15003 Acta Math. Sin., Engl. Ser. 23, No. 4, 723-730 (2007). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 15A09 15A24 15A18 15A03 PDFBibTeX XMLCite \textit{Y. H. Liu} and \textit{M. S. Wei}, Acta Math. Sin., Engl. Ser. 23, No. 4, 723--730 (2007; Zbl 1123.15003) Full Text: DOI
Wei, Musheng; Wang, Qian On rank-constrained Hermitian nonnegative-definite least squares solutions to the matrix equation \(AXA^{H} = B\). (English) Zbl 1129.15012 Int. J. Comput. Math. 84, No. 6, 945-952 (2007). Reviewer: Valeriu Prepeliţă (Bucureşti) MSC: 15A24 15B57 15A29 PDFBibTeX XMLCite \textit{M. Wei} and \textit{Q. Wang}, Int. J. Comput. Math. 84, No. 6, 945--952 (2007; Zbl 1129.15012) Full Text: DOI
Wang, Minghui; Cheng, Xuehan; Wei, Musheng Iterative algorithms for solving the matrix equation \(AXB + CX^{T}D = E\). (English) Zbl 1121.65048 Appl. Math. Comput. 187, No. 2, 622-629 (2007). Reviewer: Constantin Popa (Constanţa) MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{M. Wang} et al., Appl. Math. Comput. 187, No. 2, 622--629 (2007; Zbl 1121.65048) Full Text: DOI
Jiang, Tongsong; Wei, Musheng Real representations of quaternion matrices and quaternion matrix equations. (Chinese. English summary) Zbl 1139.15300 Acta Math. Sci., Ser. A, Chin. Ed. 26, No. 4, 578-584 (2006). MSC: 15A24 15B33 15A90 PDFBibTeX XMLCite \textit{T. Jiang} and \textit{M. Wei}, Acta Math. Sci., Ser. A, Chin. Ed. 26, No. 4, 578--584 (2006; Zbl 1139.15300)
Wang, Minghui; Wei, Musheng On the maximal-like solution of matrix equation \(X+A^*X^{-2}A=I^*\). (English) Zbl 1122.65044 Numer. Math., J. Chin. Univ. 15, No. 1, 67-73 (2006). Reviewer: Mihail M. Konstantinov (Sofia) MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{M. Wang} and \textit{M. Wei}, Numer. Math., J. Chin. Univ. 15, No. 1, 67--73 (2006; Zbl 1122.65044)
Jiang, Tongsong; Wei, Musheng On the reduction of a complex matrix to triangular or diagonal by consimilarity. (English) Zbl 1102.15008 Numer. Math., J. Chin. Univ. 15, No. 2, 107-112 (2006). Reviewer: John D. Dixon (Ottawa) MSC: 15A21 15A23 65F30 PDFBibTeX XMLCite \textit{T. Jiang} and \textit{M. Wei}, Numer. Math., J. Chin. Univ. 15, No. 2, 107--112 (2006; Zbl 1102.15008)
Guo, Wenbin; Wei, Musheng; Wang, Mingjie On least squares \(g\)-inverses and minimum norm \(g\)-inverses of a bordered matrix. (English) Zbl 1104.15008 Linear Algebra Appl. 416, No. 2-3, 627-642 (2006). Reviewer: Rabe von Randow (Bonn) MSC: 15A09 15A06 PDFBibTeX XMLCite \textit{W. Guo} et al., Linear Algebra Appl. 416, No. 2--3, 627--642 (2006; Zbl 1104.15008) Full Text: DOI
Jiang, Tongsong; Liu, Yonghui; Wei, Musheng Quaternion generalized singular value decomposition and its applications. (English) Zbl 1093.15014 Appl. Math., Ser. B (Engl. Ed.) 21, No. 1, 113-118 (2006). Reviewer: Piwen Yang (Sichuan) MSC: 15A24 15B33 15A18 PDFBibTeX XMLCite \textit{T. Jiang} et al., Appl. Math., Ser. B (Engl. Ed.) 21, No. 1, 113--118 (2006; Zbl 1093.15014) Full Text: DOI
Jiang, Tongsong; Wei, Musheng A practical algorithm for diagonalization of quaternion matrices. (Chinese. English summary) Zbl 1099.65517 Chin. J. Eng. Math. 22, No. 1, 179-182 (2005). MSC: 65F15 15A21 15B33 PDFBibTeX XMLCite \textit{T. Jiang} and \textit{M. Wei}, Chin. J. Eng. Math. 22, No. 1, 179--182 (2005; Zbl 1099.65517)
Jiang, Tongsong; Wei, Musheng On a solution of the quaternion matrix equation \(X-A \widetilde{X} B=C\) and its application. (English) Zbl 1083.15019 Acta Math. Sin., Engl. Ser. 21, No. 3, 483-490 (2005). Reviewer: Vladimir P. Kostov (Nice) MSC: 15A24 15B33 PDFBibTeX XMLCite \textit{T. Jiang} and \textit{M. Wei}, Acta Math. Sin., Engl. Ser. 21, No. 3, 483--490 (2005; Zbl 1083.15019) Full Text: DOI
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)
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)
Guo, Wenbin; Liu, Yonghui; Wei, Musheng On block independence in \(g\)-inverse of block matrices. (Chinese. English summary) Zbl 1119.15005 Acta Math. Sin. 47, No. 6, 1205-1212 (2004). MSC: 15A09 15A03 15B57 PDFBibTeX XMLCite \textit{W. Guo} et al., Acta Math. Sin. 47, No. 6, 1205--1212 (2004; Zbl 1119.15005)
Wei, Musheng; Liu, Aijing A perturbation analysis for the projection of a stiffly scaled matrix. (English) Zbl 1079.65049 Numer. Math., J. Chin. Univ. 13, No. 2, 194-203 (2004). Reviewer: Michael Jung (Dresden) MSC: 65F20 65F35 15A09 15A12 PDFBibTeX XMLCite \textit{M. Wei} and \textit{A. Liu}, Numer. Math., J. Chin. Univ. 13, No. 2, 194--203 (2004; Zbl 1079.65049)
Liu, Yonghui; Wei, Musheng Rank equalities related to the generalized inverses \(A_{T,S}^{(2)}\), \(B_{T_1,S_1}^{(2)}\) of two matrices \(A\) and \(B\). (English) Zbl 1063.15003 Appl. Math. Comput. 159, No. 1, 19-28 (2004). Reviewer: John D. Dixon (Ottawa) MSC: 15A09 15A03 15A45 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{M. Wei}, Appl. Math. Comput. 159, No. 1, 19--28 (2004; Zbl 1063.15003) Full Text: DOI
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)
Liu, Yonghui; Wei, Musheng Rank equalities for submatrices in generalized inverse \(M_{T,S}^{(2)}\) of \(M\). (English) Zbl 1054.15002 Appl. Math. Comput. 152, No. 2, 499-504 (2004). Reviewer: Nestor Janier Thome (Valencia) MSC: 15A03 15A09 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{M. Wei}, Appl. Math. Comput. 152, No. 2, 499--504 (2004; Zbl 1054.15002) Full Text: DOI
Liu, Yonghui; Jiang, Tongsong; Wei, Musheng The singular value decomposition of quaternion matrix with applications. (Chinese. English summary) Zbl 1055.15012 Numer. Math., Nanjing 25, No. 4, 321-328 (2003). MSC: 15A18 15B33 PDFBibTeX XMLCite \textit{Y. Liu} et al., Numer. Math., Nanjing 25, No. 4, 321--328 (2003; Zbl 1055.15012)
Jiang, Tongsong; Wei, Musheng An algorithm for Jordan canonical form of a quaternion matrix. (English) Zbl 1055.65055 Numer. Math., J. Chin. Univ. 12, No. 1, 43-50 (2003). Reviewer: Jaspal Singh Aujla (Jalandhar) MSC: 65F30 15A21 15B33 PDFBibTeX XMLCite \textit{T. Jiang} and \textit{M. Wei}, Numer. Math., J. Chin. Univ. 12, No. 1, 43--50 (2003; Zbl 1055.65055)
Jiang, Tongsong; Wei, Musheng Equality constrained least squares problem over quaternion field. (English) Zbl 1048.65036 Appl. Math. Lett. 16, No. 6, 883-888 (2003). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F20 15B33 PDFBibTeX XMLCite \textit{T. Jiang} and \textit{M. Wei}, Appl. Math. Lett. 16, No. 6, 883--888 (2003; Zbl 1048.65036) Full Text: DOI
Jiang, Tongsong; Wei, Musheng On solutions of the matrix equations \(X\)-\(AXB\)=\(C\) and \(A{\overline{X}}B\)=\(C\). (English) Zbl 1019.15002 Linear Algebra Appl. 367, 225-233 (2003). Reviewer: Vladimir P.Kostov (Nice) MSC: 15A24 PDFBibTeX XMLCite \textit{T. Jiang} and \textit{M. Wei}, Linear Algebra Appl. 367, 225--233 (2003; Zbl 1019.15002) Full Text: DOI
Wei, Musheng; Guo, Wenbin On \(g\)-inverses of a bordered matrix: revisited. (English) Zbl 1002.15007 Linear Algebra Appl. 347, No. 1-3, 189-204 (2002). Reviewer: Kim Hang Kim (Montgomery) MSC: 15A09 15A24 PDFBibTeX XMLCite \textit{M. Wei} and \textit{W. Guo}, Linear Algebra Appl. 347, No. 1--3, 189--204 (2002; Zbl 1002.15007) Full Text: DOI
Wei, Musheng; Guo, Wenbin Reverse order laws for least squares \(g\)-inverses and minimum norm \(g\)-inverses of products of two matrices. (English) Zbl 0994.15004 Linear Algebra Appl. 342, No. 1-3, 117-132 (2002). Reviewer: Kim Hang Kim (Montgomery) MSC: 15A09 15A24 PDFBibTeX XMLCite \textit{M. Wei} and \textit{W. Guo}, Linear Algebra Appl. 342, No. 1--3, 117--132 (2002; Zbl 0994.15004) Full Text: DOI Link
Wei, Musheng Supremum and stability of weighted pseudoinverses and weighted least squares problems. Analysis and computations. (English) Zbl 1037.15004 Huntington, NY: Nova Science Publishers (ISBN 1-56072-922-8/hbk). xiv, 182 p. (2001). Reviewer: Nestor Janier Thome (Valencia) MSC: 15A09 15-02 65F20 PDFBibTeX XMLCite \textit{M. Wei}, Supremum and stability of weighted pseudoinverses and weighted least squares problems. Analysis and computations. Huntington, NY: Nova Science Publishers (2001; Zbl 1037.15004)
Wei, Musheng Reverse order laws for generalized inverses of multiple matrix products. (English) Zbl 0943.15001 Linear Algebra Appl. 293, No. 1-3, 273-288 (1999). Reviewer: J.D.Dixon (Ottawa) MSC: 15A09 15A23 PDFBibTeX XMLCite \textit{M. Wei}, Linear Algebra Appl. 293, No. 1--3, 273--288 (1999; Zbl 0943.15001) Full Text: DOI
Wei, Musheng Suprema of weighted pseudo-inverses. (Chinese. English summary) Zbl 0960.65041 Acta Math. Appl. Sin. 21, No. 1, 74-83 (1998). MSC: 65F20 15A09 65K05 90C30 PDFBibTeX XMLCite \textit{M. Wei}, Acta Math. Appl. Sin. 21, No. 1, 74--83 (1998; Zbl 0960.65041)
Wei, Musheng; De Pierro, Alvaro R. Perturbation analysis of the canonical subspaces. (English) Zbl 0948.15009 Linear Algebra Appl. 279, No. 1-3, 135-151 (1998). Reviewer: Peter Reichensperger (Oberasbach) MSC: 15A12 15A21 65F35 PDFBibTeX XMLCite \textit{M. Wei} and \textit{A. R. De Pierro}, Linear Algebra Appl. 279, No. 1--3, 135--151 (1998; Zbl 0948.15009) Full Text: DOI
Xu, Guiping; Wei, Musheng; Zheng, Daosheng On solutions of matrix equation \(AXB+CYD=F\). (English) Zbl 0933.15024 Linear Algebra Appl. 279, No. 1-3, 93-109 (1998). MSC: 15A24 PDFBibTeX XMLCite \textit{G. Xu} et al., Linear Algebra Appl. 279, No. 1--3, 93--109 (1998; Zbl 0933.15024) Full Text: DOI
De Pierro, Alvaro R.; Wei, Musheng Reverse order law for reflexive generalized inverses of products of matrices. (English) Zbl 0933.15008 Linear Algebra Appl. 277, No. 1-3, 299-311 (1998). MSC: 15A09 15A18 15A23 PDFBibTeX XMLCite \textit{A. R. De Pierro} and \textit{M. Wei}, Linear Algebra Appl. 277, No. 1--3, 299--311 (1998; Zbl 0933.15008) Full Text: DOI
Wei, Musheng Equivalent formulae for the supremum and stability of weighted pseudoinverses. (English) Zbl 0893.15001 Math. Comput. 66, No. 220, 1487-1508 (1997). Reviewer: S.E.Payne (Denver) MSC: 15A09 65F20 65F35 65K05 90C20 PDFBibTeX XMLCite \textit{M. Wei}, Math. Comput. 66, No. 220, 1487--1508 (1997; Zbl 0893.15001) Full Text: DOI
Wei, Musheng Equivalent conditions for generalized inverses of products. (English) Zbl 0949.15011 Linear Algebra Appl. 266, 347-363 (1997). MSC: 15A09 PDFBibTeX XMLCite \textit{M. Wei}, Linear Algebra Appl. 266, 347--363 (1997; Zbl 0949.15011) Full Text: DOI
Wei, Musheng Upper bound and stability of scaled pseudoinverses. (English) Zbl 0845.15001 Numer. Math. 72, No. 2, 285-293 (1995). Reviewer: J.Zemánek (Warszawa) MSC: 15A09 15A45 15A60 15A12 PDFBibTeX XMLCite \textit{M. Wei}, Numer. Math. 72, No. 2, 285--293 (1995; Zbl 0845.15001) Full Text: DOI
Wei, Musheng; Chen, Guoliang Solutions sets and property for weighted total least squares problem. (Chinese. English summary) Zbl 0816.65023 Appl. Math., Ser. A (Chin. Ed.) 9, No. 3, 304-311 (1994). Reviewer: C.He (Chemnitz) MSC: 65F20 15A09 PDFBibTeX XMLCite \textit{M. Wei} and \textit{G. Chen}, Appl. Math., Ser. A (Chin. Ed.) 9, No. 3, 304--311 (1994; Zbl 0816.65023)
Wei, Musheng; Zhang, Birong Structures and uniqueness conditions of \(MK\)-weighted pseudoinverses. (English) Zbl 0811.15003 BIT 34, No. 3, 437-450 (1994). Reviewer: G.Bonanno (Davis) MSC: 15A09 PDFBibTeX XMLCite \textit{M. Wei} and \textit{B. Zhang}, BIT 34, No. 3, 437--450 (1994; Zbl 0811.15003) Full Text: DOI
Paige, C. C.; Wei, M. History and generality of the CS decomposition. (English) Zbl 0854.15002 Linear Algebra Appl. 208-209, 303-326 (1994). MSC: 15A09 15A21 15A18 PDFBibTeX XMLCite \textit{C. C. Paige} and \textit{M. Wei}, Linear Algebra Appl. 208--209, 303--326 (1994; Zbl 0854.15002) Full Text: DOI
Wei, Musheng; Chen, Guoliang The perturbation theory for the \(N\)-norm, \(M\)-weighted least squares problem. (Chinese. English summary) Zbl 0786.15007 Numer. Math., Nanjing 15, No. 2, 120-127 (1993). Reviewer: Li Shaokuan (Shanghai) MSC: 15A06 15A09 PDFBibTeX XMLCite \textit{M. Wei} and \textit{G. Chen}, Numer. Math., Nanjing 15, No. 2, 120--127 (1993; Zbl 0786.15007)
Wei, Musheng Algebraic properties of the rank-deficient equality-constrained and weighted least squares problems. (English) Zbl 0743.15008 Linear Algebra Appl. 161, 27-43 (1992). Reviewer: S.L.Campbell (Raleigh) MSC: 15A09 15A06 65F20 PDFBibTeX XMLCite \textit{M. Wei}, Linear Algebra Appl. 161, 27--43 (1992; Zbl 0743.15008) Full Text: DOI
Wei, Musheng Algebraic relations between the total least squares and least squares problems with more than one solution. (English) Zbl 0761.65030 Numer. Math. 62, No. 1, 123-148 (1992). Reviewer: M.Wei MSC: 65F20 15A18 15A09 15A06 PDFBibTeX XMLCite \textit{M. Wei}, Numer. Math. 62, No. 1, 123--148 (1992; Zbl 0761.65030) Full Text: DOI EuDML
Wei, Musheng Perturbation of the least squares problem. (English) Zbl 0711.15005 Linear Algebra Appl. 141, 177-182 (1990). Reviewer: S.L.Campbell MSC: 15A09 65F20 PDFBibTeX XMLCite \textit{M. Wei}, Linear Algebra Appl. 141, 177--182 (1990; Zbl 0711.15005) Full Text: DOI
Wei, Musheng On the error estimate for the projection of a point onto a linear manifold. (English) Zbl 0704.65026 Linear Algebra Appl. 133, 53-75 (1990). Reviewer: D.Janovska MSC: 65F20 15A09 PDFBibTeX XMLCite \textit{M. Wei}, Linear Algebra Appl. 133, 53--75 (1990; Zbl 0704.65026) Full Text: DOI
Wei, Musheng The perturbation of consistent least squares problems. (English) Zbl 0661.15004 Linear Algebra Appl. 112, 231-245 (1989). Reviewer: S.L.Campbell MSC: 15A09 15A06 PDFBibTeX XMLCite \textit{M. Wei}, Linear Algebra Appl. 112, 231--245 (1989; Zbl 0661.15004) Full Text: DOI