Hermitian and non-negative definite reflexive and anti-reflexive solutions to AX=B

DOI10.1080/00207160.2017.1328505zbMath1499.15052OpenAlexW2612857778MaRDI QIDQ5028609

Xifu Liu

Publication date: 10 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2017.1328505

zbMATH Keywords

matrix equationmatrix nearness problemHermitian anti-reflexive solutionHermitian reflexive solutionnon-negative definite reflexive solution

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (2)

Numerical strategies for recursive least squares solutions to the matrix equation AX = B ⋮ Iterative algorithm for the reflexive solutions of the generalized Sylvester matrix equation

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 common \((P,Q)\) generalized reflexive and anti-reflexive solutions to \(AX=B\) and \(XC=D\)
• The reflexive and anti-reflexive solutions of the matrix equation \(A^{H}XB=C\)
• The Hermitian reflexive solutions to the matrix inverse problem \(AX=B\)
• 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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