应用数学2025，Vol.38Issue(3)：864-871,8.
矩阵值函数的特征值估计的广义Gershgorin定理
Generalized Gershgorin's Theorem for Eigenvalue Estimation of Matrix-valued Functions
摘要
Abstract
In this paper,on the basis of the generalized Gershgorin's theorem of eigenvalue esti-mation for matrices,the generalized Gershgorin's theorem for estimating the eigenvalues of matrix-valued functions is given,and the Bauer-Fike theorem for matrix-valued functions is proved by using the general-ized Gershgorin's theorem.Finally,the reasonability of the results is verified by some numerical examples.关键词
矩阵值函数/特征值估计/广义Gershgorin定理Key words
Matrix-valued function/Eigenvalue estimation/Generalized Gershgorin's theorem分类
数理科学引用本文复制引用
郜雪琦,齐雅茹..矩阵值函数的特征值估计的广义Gershgorin定理[J].应用数学,2025,38(3):864-871,8.基金项目
国家自然科学基金(12261065) （12261065）
内蒙古自然科学基金(2025MS01011) （2025MS01011）
