Inverse matrix estimations by iterative methods with weight functions and their stability analysis

被引：2
|
作者：
Cordero, Alicia [1 ]
Segura, Elaine [2 ]
Torregrosa, Juan R. [1 ]
Vassileva, Maria P. [3 ]
机构：
[1] Univ Politecn Valencia, Multidisciplinary Inst Math, Camino Vera S-N, Valencia 46022, Spain
[2] Univ Autonoma Santo Domingo, Av Alma Mater, Santo Domingo 10105, Dominican Rep
[3] Inst Tecnol Santo Domingo, Av Proceres, Santo Domingo 10801, Dominican Rep
来源：
APPLIED MATHEMATICS LETTERS | 2024年 / 155卷
关键词：
Matrix equations; Iterative methods; Order of convergence; Real discrete dynamics; ORDER;
D O I：
10.1016/j.aml.2024.109122
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we construct a parametric family of iterative methods to compute the inverse of a nonsingular matrix. This class is free of inverse operators. We prove the third -order of convergence under some conditions involving the parameter of the family. Moreover, a dynamical analysis is made for the first time to a matrix iterative method, finding intervals of stability, that include but are wider than those found in the convergence analysis. Numerical tests on large random matrices confirm the results found.
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页数：6
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