Diagonalization of matrices over the domain of principal ideals with minimal polynomial m(λ) = (λ - α)(λ - β), α ≠ β

被引：0
|
作者：
Prokip V.M. [1 ]
机构：
[1] Institute of Applied Problems of Mechanics and Mathematics, NAS of Ukraine, Lviv 79060, 3b, Naukova Str.
来源：
Journal of Mathematical Sciences | 2011年 / 174卷 / 4期
关键词：
diagonalization of a matrix; Domain of principal ideals; eigenvector;
D O I：
10.1007/s10958-011-0313-y
中图分类号：
学科分类号：
摘要：
The necessary and sufficient conditions of diagonalization of matrices over a domain of principal ideals with minimal polynomial m(λ) = (λ - α)(λ - β), α ≠ β are obtained. On the basis of the obtained results, the conditions under which the matrices have common eigenvectors are indicated. © 2011 Springer Science+Business Media, Inc.
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页码：481 / 485
页数：4
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