张知难, 永学荣. 解一类实对称正定束Ax=λBx的同伦方法[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 1991, (2).DOI:
解一类实对称正定束Ax=λBx的同伦方法
摘要
若AB为实对称n×n方阵
B为正定则广义特征值问题Ax=λBx称为实对称正定束。本文解无重特征值的实对称正定束。
Abstract
A generalized eigenvalue problem Ax=λBx is called real symmetric positive definite pencil
if A
B are real symmetric n by n matrices and B is positive definite. This paper solved the real symmetric positive definite pencil which does not have multiple eigenvalues.