应用数学2024，Vol.37Issue(4)：962-970,9.
一类二次矩阵方程的数值方法
Numerical Methods for a Class of Quadratic Matrix Equations
摘要
Abstract
Quadratic matrix equations arise in many fields of scientific computing and engineering applications.In this paper,we consider a class of quadratic matrix equations.Under a certain condition,we first prove the existence of minimal nonnegative solution for this quadratic matrix equation,and then propose some numerical methods for solving it.Convergence analysis and numerical examples are given to verify the theories and the numerical methods of this paper.关键词
二次矩阵方程/M-矩阵/最小非负解/牛顿法/伯努利法Key words
Quadratic matrix equation/M-matrix/Minimal nonnegative solution/Newton method/Bernoulli method分类
数理科学引用本文复制引用
关晋瑞,王志欣,邵荣侠..一类二次矩阵方程的数值方法[J].应用数学,2024,37(4):962-970,9.基金项目
Supported by the National Natural Science Foundation of China(12001395),the special fund for Science and Technology Innovation Teams of Shanxi Province(202204051002018),Research Project Supported by Shanxi Scholarship Council of China(2022-169),and Graduate Education Innovation Project of Taiyuan Normal University(SYYJSYC-2314) （12001395）
