A Hermitian least squares solution of the matrix equation \(AXB=C\) subject to inequality restrictions

DOI10.1016/j.camwa.2012.02.010zbMath1268.15012OpenAlexW2095403710MaRDI QIDQ356040

Yan Gao, Ying Li, Wenbin Guo

Publication date: 25 July 2013

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2012.02.010

zbMATH Keywords

rankgeneralized inverseinertiamatrix equationleast squares solutionHermitian solution

Mathematics Subject Classification ID

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

Related Items (6)

The minimal rank of matrix expressions with respect to Hermitian matrix-revised ⋮ Least squares Hermitian problem of a kind of quaternion tensor equation ⋮ On the Hermitian \(R\)-conjugate solution of a system of matrix equations ⋮ The Hermitian solution of \(A X A^* = B\) subject to \(CXC^{*} \geq D\) ⋮ Rank constrained matrix best approximation problem with respect to (skew) Hermitian matrices ⋮ Computing symmetric solutions of general Sylvester matrix equations via Lanczos version of biconjugate residual algorithm

Cites Work

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• The rank-constrained Hermitian nonnegative-definite and positive-definite solutions to the matrix equation \(AXA^{\ast}=B\)
• Nonnegative-definite and positive-definite solutions to the matrix equation \(\mathbb{A}\times\mathbb{A}^*=\mathbb{B}\) -- revisited
• The general common Hermitian nonnegative-definite solution to the matrix equations \(AXA=BB\) and \(CXC=DD\) with applications in statistics
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• A representation of the general common solution to the matrix equations \(A_1XB_1=C_1\) and \(A_2XB_2=C_2\) with applications

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