An expression of the general common least-squares solution to a pair of matrix equations with applications

DOI10.1016/j.camwa.2011.03.096zbMath1222.15021OpenAlexW1969395598MaRDI QIDQ640504

Hu Yang, Xifu Liu

Publication date: 18 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.03.096

zbMATH Keywords

matrix equationHermitian generalized inverseleast-squares solution

Mathematics Subject Classification ID

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

Related Items (6)

Comments on ``The common Re-nnd and Re-pd solutions to the matrix equations \(AX=C\) and \(XB=D\) ⋮ Unnamed Item ⋮ Some structures of submatrices in solution to the paire of matrix equations \(AX=C,XB=D\) ⋮ Re-nnd generalized inverses ⋮ The Hermitian solution of \(A X A^* = B\) subject to \(CXC^{*} \geq D\) ⋮ On Hermitian generalized inverses and positive semidefinite generalized inverses

Cites Work

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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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