摘要
本文在矩阵特征值估计的广义Gershgorin定理的基础上,给出了矩阵值函数特征值估计的广义Gershgorin定理,并利用其证明了矩阵值函数的Bauer?Fike定理.最后,通过数值算例验证了结果的合理性.
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.
作者
郜雪琦
齐雅茹
GAO Xueqi;QI Yaru(College of Sciences,Inner Mongolia University of Technology,Hohhot 010000,China)
出处
《应用数学》
北大核心
2025年第3期864-871,共8页
Mathematica Applicata
基金
国家自然科学基金(12261065)
内蒙古自然科学基金(2025MS01011)。
