The generalized orthogonal solutions of the matrix inverse problem AX = B and optimal approximation

DOI10.2298/FIL1713023LzbMath1499.15059OpenAlexW2522670574MaRDI QIDQ5020388

Baiyu Wang, Wei Liu, An-Ping Liao

Publication date: 5 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1713023l

zbMATH Keywords

optimal approximationProcrustes problemmatrix inverse problemgeneralized orthogonal matrix

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Inverse problems in linear algebra (15A29) Orthogonal matrices (15B10)

Cites Work

• The Hermitian reflexive solutions to the matrix inverse problem \(AX=B\)
• The Re-positive definite solutions to the matrix inverse problem \(AX = B\)
• A matrix inverse eigenvalue problem and its application
• Least-square solutions for inverse problems of centrosymmetric matrices
• The solvability conditions for the inverse problems of symmetric ortho-symmetric matrices
• The Re-nonnegative definite solutions to the matrix inverse problem \(AX=B\)
• Least-squares solution of \(F=PG\) over positive semidefinite symmetric \(P\)
• Sufficient conditions for the solution of the inverse problem for a vibrating beam
• A survey of matrix inverse eigenvalue problems
• Inverse eigenvalue problem in structural design
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