Solutions with special structure to the linear matrix equation \(AX=B\)

DOI10.1016/j.camwa.2010.11.013zbMath1211.15006OpenAlexW2039588819MaRDI QIDQ534980

Jianli Zhao, Fengxia Zhang, Ying Li, Wenbin Guo

Publication date: 10 May 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.11.013

zbMATH Keywords

general solutiongeneralized inverseinertiamatrix equationminimal rankmatrix rank method

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24)

Related Items (4)

The minimal rank of \(A - BX\) with respect to Hermitian matrix ⋮ On extremal ranks and least squares solutions subject to a rank restriction ⋮ The Hermitian \(\{P,\mathrm k+1\}\)-(anti-)reflexive solutions of a linear matrix equation ⋮ On the solutions of two systems of quaternion matrix equations

Cites Work

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• Some properties of submatrices in a solution to the matrix equation \(AXB=C\) with applications
• Ranks of least squares solutions of the matrix equation \(AXB=C\)
• Equalities and inequalities for inertias of Hermitian matrices with applications
• On the symmetric solutions of a linear matrix equation
• Least-squares solution of \(F=PG\) over positive semidefinite symmetric \(P\)
• Ranks of solutions of the linear matrix equation \(AX + YB = C\)
• Rank equalities related to outer inverses of matrices and applications
• Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
• Extremal Ranks of Some Symmetric Matrix Expressions with Applications

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