摘要
基于Thompson度量的良好性质,给出一类广义Stein方程存在正定解的充分条件;构造求解的迭代方法,并给出该迭代方法的误差估计式;最后用数值例子验证了该迭代方法的可行性。
Based on the elegant properties of the Thompson metric,we give a sufficient condition for the existence of positive definite solution for a class of generalized Stein equation.An iterative method is proposed to compute the positive definite solution,and its error estimate formula is also derived.Numerical examples show that this iterative method is feasible.
出处
《上海大学学报(自然科学版)》
CAS
CSCD
北大核心
2012年第1期26-29,共4页
Journal of Shanghai University:Natural Science Edition
基金
国家自然科学基金资助项目(11101100
71101033)
广西自然科学基金资助项目(0991238)
关键词
广义Stein方程
正定解
迭代方法
误差估计
generalized Stein equation
positive definite solution
iterative method
error estimate