2010Unpublished venueRequires access

Two Matrix Iterative Methods for Solving General Coupled Matrix Equations

Shengkun Li, Ting‐Zhu Huang

Open publisher page 1 citations

Abstract

Here, two matrix iterative methods are proposed to solve general coupled matrix equations, based on Paige's algorithms as the framework. By these new iterative methods, we can get the minimum Frobenius norm constrained solutions, such as symmetric, generalized bisymmetric and (R, S)-symmetric solutions.

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What this paper is about

Here, two matrix iterative methods are proposed to solve general coupled matrix equations, based on Paige's algorithms as the framework. By these new iterative methods, we can get the minimum Frobenius norm constrained solutions, such as symmetric, generalized bisymmetric and (R, S)-symmetric solutions.

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Available abstract

Here, two matrix iterative methods are proposed to solve general coupled matrix equations, based on Paige's algorithms as the framework. By these new iterative methods, we can get the minimum Frobenius norm constrained solutions, such as symmetric, generalized bisymmetric and (R, S)-symmetric solutions.

Key concepts: Matrix-free methods, Iterative method, Matrix splitting, Matrix (chemical analysis), Symmetric matrix, Matrix norm, Convergent matrix, Applied mathematics

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