Least-squares solutions of inverse problem for Hermitian generalized Hamiltonian matrices.

DOI10.1016/S0893-9659(04)90067-5zbMath1064.15019MaRDI QIDQ1764509

Lei Zhang, Xi-Yan Hu, Zhong-Zhi Zhang

Publication date: 25 February 2005

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

inverse problemsingular value decompositionoptimal approximationleast-squares solutiongeneralized Hamiltonian matrixHermitian generalized Hamiltonian matrix

Mathematics Subject Classification ID

Inverse problems in linear algebra (15A29) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (1)

(Anti-)Hermitian generalized (anti-)Hamiltonian solution to a system of matrix equations

Cites Work

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• Singular value and generalized singular value decompositions and the solution of linear matrix equations
• Least-squares solution of \(F=PG\) over positive semidefinite symmetric \(P\)
• Positive Semidefinite Matrices: Characterization via Conical Hulls and Least-Squares Solution of a Matrix Equation
• On Least Squares Solutions of an Inconsistent Singular Equation $AX + XB = C$

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