Nested splitting conjugate gradient method for matrix equation \(AXB=C\) and preconditioning

DOI10.1016/j.camwa.2013.05.004zbMath1347.65078OpenAlexW2079891271MaRDI QIDQ305521

Mohammad Khorsand Zak, Faezeh Toutounian

Publication date: 30 August 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.05.004

zbMATH Keywords

convergencepreconditioningmatrix equationsnumerical experimentKrylov subspace methodnested splitting conjugate gradient iteration methodquasi-Hermitian splitting

Mathematics Subject Classification ID

Related Items (25)

The iterative algorithm for solving a class of generalized coupled Sylvester-transpose equations over centrosymmetric or anti-centrosymmetric matrix ⋮ A preconditioned nested splitting conjugate gradient iterative method for the large sparse generalized Sylvester equation ⋮ A unified treatment for the restricted solutions of the matrix equation \(AXB=C\) ⋮ Symmetric solutions of the coupled generalized Sylvester matrix equations via BCR algorithm ⋮ Shift-splitting iteration methods for a class of large sparse linear matrix equations ⋮ 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 ⋮ The Unified Frame of Alternating Direction Method of Multipliers for Three Classes of Matrix Equations Arising in Control Theory ⋮ Nested splitting CG-like iterative method for solving the continuous Sylvester equation and preconditioning ⋮ Least-squares symmetric solution to the matrix equationAXB=Cwith the norm inequality constraint ⋮ The BCR algorithms for solving the reflexive or anti-reflexive solutions of generalized coupled Sylvester matrix equations ⋮ Proper splittings and reduced solutions of matrix equations ⋮ Two-step AOR iteration method for the linear matrix equation \(AXB=C\) ⋮ An iterative method for solving the continuous sylvester equation by emphasizing on the skew-hermitian parts of the coefficient matrices ⋮ The scaling conjugate gradient iterative method for two types of linear matrix equations ⋮ The right–left preconditioning technique for the solution of the large matrix equationAXB = C ⋮ The matrix iterative methods for solving a class of generalized coupled Sylvester-conjugate linear matrix equations ⋮ Iterative algorithms for discrete-time periodic Sylvester matrix equations and its application in antilinear periodic system ⋮ Iterative Tikhonov regularization of tensor equations based on the Arnoldi process and some of its generalizations ⋮ On the Krylov subspace methods based on tensor format for positive definite Sylvester tensor equations ⋮ BCR method for solving generalized coupled Sylvester equations over centrosymmetric or anti-centrosymmetric matrix ⋮ The solution of the matrix equation \(AXB=D\) and The system of matrix equations \(AX=C\), \(XB=D\) with \(X^*X=I_p\) ⋮ Golub-Kahan bidiagonalization for ill-conditioned tensor equations with applications ⋮ Absolute value equations with tensor product structure: unique solvability and numerical solution. ⋮ A parameterized multi-step Newton method for solving systems of nonlinear equations

Uses Software

• Harwell-Boeing sparse matrix collection

Cites Work

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