Linear restriction problem of Hermitian reflexive matrices and its approximation

DOI10.1016/j.amc.2007.11.020zbMath1148.65030OpenAlexW2141138956MaRDI QIDQ929453

Lei Zhang, Li-Jun Zhao, Xi-Yan Hu

Publication date: 17 June 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.11.020

zbMATH Keywords

numerical examplesoptimal approximationHermitian reflexive matrixlinear restriction problem

Mathematics Subject Classification ID

Related Items (6)

Iterative Hermitian R-conjugate solutions to general coupled sylvester matrix equations ⋮ An iterative algorithm for generalized Hamiltonian solution of a class of generalized coupled Sylvester-conjugate matrix equations ⋮ The least squares Hermitian (anti)reflexive solution with the least norm to matrix equation \(A X B = C\) ⋮ On the generalized reflexive and anti-reflexive solutions to a system of matrix equations ⋮ A finite iterative method for solving the generalized Hamiltonian solutions of coupled Sylvester matrix equations with conjugate transpose ⋮ Developing the CGLS algorithm for the least squares solutions of the general coupled matrix equations

Cites Work

• On the symmetric solutions of a linear matrix equation
• A matrix inverse eigenvalue problem and its application
• The reflexive and anti-reflexive solutions of the matrix equation \(AX=B\).
• Inverse eigenproblems and associated approximation problems for matrices with generalized symmetry or skew symmetry.
• Hermitian, Hermitian \(R\)-symmetric, and Hermitian \(R\)-skew symmetric Procrustes problems
• The solvability conditions for the inverse problems of symmetric ortho-symmetric matrices
• Physical Parameters Reconstruction of a Free–Free Mass-Spring System from Its Spectra
• Hermitian and Nonnegative Definite Solutions of Linear Matrix Equations
• Inverse eigenvalue problems for a singular Sturm-Liouville operator on (0,1)
• Generalized Reflexive Matrices: Special Properties and Applications
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