求解广义绝对值方程的两步迭代法
Two-step Iterative Method for Solving Generalized Absolute Value Equations
李星 1赵建兴1
作者信息
- 1. 贵州民族大学数据科学与信息工程学院,贵州贵阳 550025
- 折叠
摘要
对于广义绝对值方程的求解问题,文章首先提出一种新的牛顿型两步迭代方法.该方法推广了求解标准绝对值方程的一个已有两步迭代法.然后讨论新方法的收敛性,并给出一些收敛性条件.最后,通过数值算例表明本文所给方法是可行的和有效的.
Abstract
For the solution of a generalized absolute value equation,a new Newton type two-step iterative method was first proposed.It generalized an existing two-step iterative method for solving a standard absolute value equation.Then,its convergence was discussed and many convergence conditions were given.Finally,a numerical example was reported to show that this new method presented in this paper was feasible and effective.
关键词
广义绝对值方程/两步迭代法/收敛性分析/牛顿型方法Key words
Generalized absolute value equations/Two-step iterative method/Convergence analysis/Newton-type method引用本文复制引用
基金项目
国家自然科学基金项目(62162012)
贵州省科技计划项目(黔科合基础-ZK[2022]一般215)
出版年
2024
NETL
NSTL
万方数据