The bisymmetric solutions of the matrix equation \(A_{1}X_{1}B_{1}+A_{2}X_{2}B_{2}+\cdots+A_{l}X_{l}B_{l}=C\) and its optimal approximation

DOI10.1016/j.laa.2007.05.034zbMath1123.15009OpenAlexW2010552701MaRDI QIDQ996312

Xi-Yan Hu, Zhuo-Hua Peng, Lei Zhang

Publication date: 14 September 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2007.05.034

zbMATH Keywords

iterative methodmatrix equationoptimal approximation solutionbisymmetric solution groupleast-norm solution group

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

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Cites Work

• On the symmetric solutions of linear matrix equations
• Singular value and generalized singular value decompositions and the solution of linear matrix equations
• The inverse problem of bisymmetric matrices with a submatrix constraint
• Optimization Procedure to Correct Stiffness and Flexibility Matrices Using Vibration Tests
• Least Squares Solution of Matrix Equation $AXB^* + CYD^* = E$
• Inverse eigenvalue problem in structural design
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