The common \((P,Q)\) generalized reflexive and anti-reflexive solutions to \(AX=B\) and \(XC=D\)

DOI10.1007/s10092-015-0146-zzbMath1343.15013OpenAlexW2505049577MaRDI QIDQ295366

Xifu Liu

Publication date: 13 June 2016

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-015-0146-z

zbMATH Keywords

Moore-Penrose inversematrix equationmatrix nearness problemcommon solutionanti-reflexive solutionsreflection matrixreflexive solution

Mathematics Subject Classification ID

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

Related Items (4)

The solutions to linear matrix equations \(AX=B\), \(YA=D\) with \(k\)-involutory symmetries ⋮ The extremal ranks and inertias of matrix expressions with respect to generalized reflexive and anti-reflexive matrices with applications ⋮ Some structures of submatrices in solution to the paire of matrix equations \(AX=C,XB=D\) ⋮ Hermitian and non-negative definite reflexive and anti-reflexive solutions to AX=B

Cites Work

• Generalized reflexive and anti-reflexive solutions of \(AX=B\)
• Comments on ``The common Re-nnd and Re-pd solutions to the matrix equations \(AX=C\) and \(XB=D\)
• The reflexive and anti-reflexive solutions of the matrix equation \(A^{H}XB=C\)
• The generalized reflexive solution for a class of matrix equations \( (AX=B, XC=D)\)
• The \((P,Q)\) generalized reflexive and anti-reflexive solutions of the matrix equation \(AX=B\)
• The reflexive and anti-reflexive solutions of the matrix equation \(AX=B\).
• The reflexive solutions of the matrix equation \(AX B = C\)
• Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
• Generalized Reflexive Matrices: Special Properties and Applications

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