On Hermitian and skew-Hermitian splitting iteration methods for the linear matrix equation AXB=C

Authors:
Xiang Wang;Yan Li;Lin Dai
Affiliations:
-;-;-
Venue:
Computers & Mathematics with Applications
Year:
2013

Citing 8
Cited 1

Kronecker products, unitary matrices, and signal processing applications

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Comments on Large Least Squares Problems InvolvingKronecker Products

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Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Definite Linear Systems

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Iterative Methods for Sparse Linear Systems

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The reflexive solutions of the matrix equation AX B = C

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The *congruence class of the solutions of some matrix equations

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Modified HSS iteration methods for a class of complex symmetric linear systems

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New matrix iterative methods for constraint solutions of the matrix equation AXB=C

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On positive-definite and skew-Hermitian splitting iteration methods for continuous Sylvester equation AX+XB=C

Computers & Mathematics with Applications

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Abstract

In this paper, a Hermitian and skew-Hermitian splitting (HSS) iteration method for solving the linear matrix equation AXB=C is proposed. This method is formed by extending the corresponding HSS iteration method for solving Ax=b. The analysis shows that the HSS iteration method will converge under certain assumptions. Moreover, the optimal parameter of this iteration method is presented. Numerical results show that this new method is more efficient and robust than existing methods.