On the Hermitian-Generalized Hamiltonian Solutions of Linear Matrix Equations

DOI10.1137/S0895479801396725zbMath1087.15021OpenAlexW2023469884MaRDI QIDQ5317666

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

Publication date: 19 September 2005

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479801396725

zbMATH Keywords

optimal approximationmatrix normmatrix equationgeneralized Hamiltonian matrixHermitian-generalized Hamiltonian matrix

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (7)

An iterative algorithm for the least Frobenius norm Hermitian and generalized skew Hamiltonian solutions of the generalized coupled Sylvester-conjugate matrix equations ⋮ The \(\{P, Q, k + 1 \}\)-reflexive solution to system of matrix equations \(A X = C\), \(X B = D\) ⋮ On the least squares generalized Hamiltonian solution of generalized coupled Sylvester-conjugate matrix equations ⋮ On the Hermitian \(R\)-conjugate solution of a system of matrix equations ⋮ (Anti-)Hermitian generalized (anti-)Hamiltonian solution to a system of matrix equations ⋮ Analytical best approximate Hermitian and generalized skew-Hamiltonian solution of matrix equation \(AXA^{\mathrm{H}}+CYC^{\mathrm{H}}=F\) ⋮ A finite iterative method for solving the generalized Hamiltonian solutions of coupled Sylvester matrix equations with conjugate transpose

This page was built for publication: On the Hermitian-Generalized Hamiltonian Solutions of Linear Matrix Equations