The general solutions on the minimum residual problem and the matrix nearness problem for symmetric matrices or anti-symmetric matrices

DOI10.1016/j.amc.2007.04.041zbMath1193.15010OpenAlexW2010019630MaRDI QIDQ990646

Guang-Xin Huang, Feng Yin, Ke Guo

Publication date: 1 September 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.04.041

zbMATH Keywords

GSVDanti-symmetric matrix solutionsymmetric matrix solutionthe matrix nearness problemthe minimum residual problem

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (1)

Matrix inverse problem and its optimal approximation problem for \(R\)-skew symmetric matrices

Cites Work

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• Matrix inverse problem and its optimal approximation problem for \(R\)-symmetric matrices
• An iterative method for the skew-symmetric solution and the optimal approximate solution of the matrix equation \(AXB=C\)
• An iterative method for the least squares symmetric solution of the linear matrix equation \(AXB = C\)
• The inverse problem of bisymmetric matrices with a submatrix constraint
• Inverse eigenvalue problem in structural design

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