Generalized reflexive and anti-reflexive solutions of \(AX=B\)

DOI10.1007/s10092-014-0136-6zbMath1338.15036OpenAlexW2003990041MaRDI QIDQ260137

Xifu Liu, Ye Yuan

Publication date: 18 March 2016

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-014-0136-6

zbMATH Keywords

Moore-Penrose inverse\((P, Q)\) generalized anti-reflexive solution\((P, Q)\) generalized reflexive solutiongeneralized reflexive matrix equationmatrix nearness problem

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (5)

The common \((P,Q)\) generalized reflexive and anti-reflexive solutions to \(AX=B\) and \(XC=D\) ⋮ The extremal ranks and inertias of matrix expressions with respect to generalized reflexive and anti-reflexive matrices with applications ⋮ Inverse eigenvalue problems for skew-Hermitian reflexive and anti-reflexive matrices and their optimal approximations ⋮ 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

• 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 \((P,Q)\) generalized reflexive and anti-reflexive solutions of the matrix equation \(AX=B\)
• The Re-positive definite solutions to the matrix inverse problem \(AX = B\)
• The reflexive and anti-reflexive solutions of the matrix equation \(AX=B\).
• The reflexive solutions of the matrix equation \(AX B = C\)
• Re-nnd SOLUTIONS OF THE MATRIX EQUATION AXB=C
• Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
• Generalized Reflexive Matrices: Special Properties and Applications

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