计算矩阵M-P广义逆的一种迭代法
An Iterative Method for Computing Matrix M-P Generalized Inverse
DOI: 10.12677/AAM.2023.127320, PDF,   
作者: 陈 荣：长沙理工大学数学与统计学院，湖南 长沙
关键词: Moore-Penrose广义逆；迭代法；局部收敛速度；Moore-Penrose Generalized Inverse； Iterative Method； Local Convergence Rate
摘要: 本文提出了一种求解Moore-Penrose广义逆的高阶迭代法，并证明了该方法具有局部九阶收敛速度。此外，我们进行了数值实验，与已有的迭代法进行计算时间对比，结果表明该方法是有效可行的。
Abstract: In this paper, a high order iterative method for solving the Moore-Penrose generalized inverse is proposed, and it is proved that the method has local ninth order convergence rate. In addition, nu-merical experiments are carried out to compare the calculation time with the existing iterative methods, and the results show that the proposed method is effective and feasible.
文章引用：陈荣. 计算矩阵M-P广义逆的一种迭代法[J]. 应用数学进展, 2023, 12(7): 3200-3210. https://doi.org/10.12677/AAM.2023.127320

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