The solvability conditions for the inverse eigenvalue problems of reflexive matrices

DOI10.1016/j.cam.2005.04.006zbMath1088.15015OpenAlexW2010576668MaRDI QIDQ817477

Fu-Zhao Zhou

Publication date: 16 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.cam.2005.04.006

zbMATH Keywords

inverse eigenvalue problemoptimal approximationreflection matricesreflexible matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Inverse problems in linear algebra (15A29) Hermitian, skew-Hermitian, and related matrices (15B57) Numerical solutions to inverse eigenvalue problems (65F18)

Related Items

The inverse eigenproblem with a submatrix constraint and the associated approximation problem for \((R,S)\)-symmetric matrices, Procrustes problems and associated approximation problems for matrices with \(k\)-involutory symmetries, Inverse eigenvalue problems for skew-Hermitian reflexive and anti-reflexive matrices and their optimal approximations, An inverse eigenproblem and an associated approximation problem for generalized reflexive and anti-reflexive matrices, The inverse eigenvalue problem of generalized reflexive matrices and its approximation, Left and right inverse eigenvalue problem of \((R,S)\)-symmetric matrices and its optimal approximation problem, The inverse eigenvalue problem of reflexive matrices with a submatrix constraint and its approximation, On the reflexive and anti-reflexive solutions of the generalised coupled Sylvester matrix equations, Finite iterative algorithms for the reflexive and anti-reflexive solutions of the matrix equation \(A_1X_1B_1+A_2X_2B_2=C\)

Cites Work

• Computing a nearest symmetric positive semidefinite matrix
• Inverse eigenvalue problems for Jacobi matrices
• The numerically stable reconstruction of a Jacobi matrix from spectral data
• The solvability conditions for the inverse eigenvalue problems of centro-symmetric matrices
• The Formulation and Analysis of Numerical Methods for Inverse Eigenvalue Problems
• A survey of matrix inverse eigenvalue problems
• A Matrix Decomposition Method for Orthotropic Elasticity Problems
• Generalized Reflexive Matrices: Special Properties and Applications
• Inverse eigenvalue problem in structural design
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