基于梯度的复共轭矩阵与转置矩阵耦合迭代算法

线性代数与矩阵理论研究进展(英文) Pub Date : 2021-08-18 DOI:10.4236/alamt.2021.113007

H. Yin, Huamin Zhang

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引用次数: 0

摘要

提出了一种求解共轭矩阵和转置矩阵耦合复方程的梯度迭代算法。利用层次辨识原理和复矩阵的实数表示，给出了收敛性证明。确定了最优收敛因子的充分必要条件。最后通过一个算例验证了该算法的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Gradient-Based Iterative Algorithm for a Coupled Complex Conjugate and Transpose Matrix Equations

Gradient-based iterative algorithm is suggested for solving a coupled complex conjugate and transpose matrix equations. Using the hierarchical identification principle and the real representation of a complex matrix, a convergence proof is offered. The necessary and sufficient conditions for the optimal convergence factor are determined. A numerical example is offered to validate the efficacy of the suggested algorithm.

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线性代数与矩阵理论研究进展(英文)

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