Symmetric solutions of the coupled generalized Sylvester matrix equations via BCR algorithm

DOI10.1016/j.jfranklin.2016.06.008zbMath1344.93044OpenAlexW2438114760MaRDI QIDQ308305

Masoud Hajarian

Publication date: 6 September 2016

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2016.06.008

zbMATH Keywords

biconjugate residual (BCR) algorithmcoupled generalized Sylvester matrix equationsleast Frobenius norm symmetric solution pair

Mathematics Subject Classification ID

Related Items (13)

The minimal norm least squares Hermitian solution of the complex matrix equation \(AXB+CXD=E\) ⋮ The Unified Frame of Alternating Direction Method of Multipliers for Three Classes of Matrix Equations Arising in Control Theory ⋮ Accelerated Smith iterative algorithms for coupled Lyapunov matrix equations ⋮ Developing iterative algorithms to solve Sylvester tensor equations ⋮ Conjugate gradient-like algorithms for constrained operator equation related to quadratic inverse eigenvalue problems ⋮ A numerical method on the mixed solution of matrix equation \(\sum_{i = 1}^t A_i X_i B_i = E\) with sub-matrix constraints and its application ⋮ A modified CG algorithm for solving generalized coupled Sylvester tensor equations ⋮ Convergence of HS version of BCR algorithm to solve the generalized Sylvester matrix equation over generalized reflexive matrices ⋮ The structure of symmetric solutions of the matrix equation \(A X = B\) over a principal ideal domain ⋮ AN ITERATIVE ALGORITHM FOR SOLVING A CLASS OF GENERALIZED COUPLED SYLVESTER-TRANSPOSE MATRIX EQUATIONS OVER BISYMMETRIC OR SKEW-ANTI-SYMMETRIC MATRICES ⋮ A Numerical Approach To Generalized Periodic Sylvester Matrix Equation ⋮ BCR method for solving generalized coupled Sylvester equations over centrosymmetric or anti-centrosymmetric matrix ⋮ Conjugate gradient least squares algorithm for solving the generalized coupled Sylvester-conjugate matrix equations

Uses Software

• CGS

Cites Work

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