Two Matrix Iterative Methods for Solving General Coupled Matrix Equations
Shengkun Li, Ting‐Zhu Huang
Abstract
Shengkun Li, Ting‐Zhu Huang
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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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