Least-square solutions for inverse problems of centrosymmetric matrices

DOI10.1016/S0898-1221(03)00137-8zbMath1050.65040MaRDI QIDQ1827241

Lei Zhang, Xi-Yan Hu, Fu-Zhao Zhou

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

algorithmsinverse problemlinear least-squares problemoptimal approximationcentrosymmetric matrixorthogonal similarity transformation

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Inverse problems in linear algebra (15A29) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (max. 100)

Structured least-squares problems and inverse eigenvalue problems for \((P,Q)\)-reflexive matrices ⋮ Minimization problems for \((R,S)\)-symmetric and \((R,S)\)-skew symmetric matrices ⋮ Matrix inverse problem and its optimal approximation problem for \(R\)-symmetric matrices ⋮ Procrustes problems and associated approximation problems for matrices with \(k\)-involutory symmetries ⋮ The \((M, N)\)-symmetric Procrustes problem ⋮ On the Centro-symmetric Solution of a System of Matrix Equations over a Regular Ring with Identity ⋮ Hermitian, Hermitian \(R\)-symmetric, and Hermitian \(R\)-skew symmetric Procrustes problems ⋮ An iterative algorithm for a least squares solution of a matrix equation ⋮ A hybrid algorithm for solving minimization problem over (R,S)-symmetric matrices with the matrix inequality constraint ⋮ Computing the least-square solutions for centrohermitian matrix problems ⋮ Matrix inverse problem and its optimal approximation problem for \(R\)-skew symmetric matrices ⋮ Least-squares solution with the minimum-norm for the matrix equation \(A^T XB + B^T X^T A = D\) and its applications ⋮ Perturbation analysis for the QX factorization for centrosymmetric matrices ⋮ The generalized orthogonal solutions of the matrix inverse problem AX = B and optimal approximation

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