The least squares problem of the matrix equation \(A_1X_1B^T_1+A_2X_2B^T_2=T\)

DOI10.1007/S11766-009-2131-2zbMath1212.15009OpenAlexW2271784764MaRDI QIDQ603190

Zhenyue Zhang, Anding Wang, Yuyang Qiu

Publication date: 5 November 2010

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-009-2131-2

zbMATH Keywords

solution setparameter matrixgeneralized inverseleast squares problemgeneral solutions

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Linear equations (linear algebraic aspects) (15A06)

Cites Work

• Unnamed Item
• Singular value and generalized singular value decompositions and the solution of linear matrix equations
• The matrix equation AXB+CYD=E
• On solutions of matrix equation \(AXB+CYD=F\)
• Perturbation analysis of the canonical correlations of matrix pairs
• On a variational formulation of the QSVD and the RSVD
• Computing the Generalized Singular Value Decomposition
• Towards a Generalized Singular Value Decomposition
• The Equation $AXB + CYD = E$ over a Principal Ideal Domain
• On a Variational Formulation of the Generalized Singular Value Decomposition
• Least Squares Solution of Matrix Equation $AXB^* + CYD^* = E$
• Least Squares Solution of BXA^T=T over Symmetric, Skew-Symmetric, and Positive Semidefinite X
• Best Approximate Solution of Matrix Equation AXB+CYD=E

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