摘要
This paper concerns with measures of the sensitivity of a nondefective multiple generalized eigenvalue of a regular matrix-pair. Wilkinson condition numbers are introduced and some related properties are studied, especially, the Wilkinson’s theorem on matrices with a very ill-conditioned eigenproblem is extended. A Gerschgorin-Weyl typed theorem is established. These results are useful to analyse the accuracy of computed eigenvalues.
This paper concerns with measures of the sensitivity of a nondefective multiple generalized eigenvalue of a regular matrix-pair. Wilkinson condition numbers are introduced and some related properties are studied, especially, the Wilkinson's theorem on matrices with a very ill-conditioned eigenproblem is extended. A Gerschgorin-Weyl typed theorem is established. These results are useful to analyse the accuracy of computed eigenvalues.
出处
《计算数学》
CSCD
北大核心
1997年第3期233-240,共8页
Mathematica Numerica Sinica
基金
国家青年自然科学基金
