A new iteration method for the matrix equation \(AX = B\)

DOI10.1016/j.amc.2006.09.059zbMath1121.65043OpenAlexW2048814702MaRDI QIDQ883968

Lei Zhang, Konghua Guo, Xi-Yan Hu

Publication date: 12 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.09.059

zbMATH Keywords

algorithmconvergencepreconditioningiteration methodoptimal approximationmatrix equationminimal norm solution

Mathematics Subject Classification ID

Related Items (13)

The iterative algorithm for solving a class of generalized coupled Sylvester-transpose equations over centrosymmetric or anti-centrosymmetric matrix ⋮ The modified conjugate gradient methods for solving a class of generalized coupled Sylvester-transpose matrix equations ⋮ Iterative method to solve the generalized coupled Sylvester-transpose linear matrix equations over reflexive or anti-reflexive matrix ⋮ Conjugate gradient least squares algorithm for solving the generalized coupled Sylvester matrix equations ⋮ A note on ``A new iteration method for the matrix equation \(AX=B\) ⋮ The iteration solution of matrix equation \(A X B = C\) subject to a linear matrix inequality constraint ⋮ The accelerated gradient based iterative algorithm for solving a class of generalized Sylvester-transpose matrix equation ⋮ The scaling conjugate gradient iterative method for two types of linear matrix equations ⋮ The Hermitian \(R\)-conjugate generalized Procrustes problem ⋮ The matrix iterative methods for solving a class of generalized coupled Sylvester-conjugate linear matrix equations ⋮ Modified conjugate gradient method for obtaining the minimum-norm solution of the generalized coupled Sylvester-conjugate matrix equations ⋮ BCR method for solving generalized coupled Sylvester equations over centrosymmetric or anti-centrosymmetric matrix ⋮ Iterative methods to solve the generalized coupled Sylvester-conjugate matrix equations for obtaining the centrally symmetric (centrally antisymmetric) matrix solutions

Cites Work

• On the symmetric solutions of a linear matrix equation
• The reflexive and anti-reflexive solutions of the matrix equation \(AX=B\).
• Least-squares solution of \(F=PG\) over positive semidefinite symmetric \(P\)
• The inverse problem of bisymmetric matrices with a submatrix constraint
• Positive Semidefinite Matrices: Characterization via Conical Hulls and Least-Squares Solution of a Matrix Equation
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