On a finite rational criterion for the irreducibility of a matrix

被引：3

作者：

Ikramov K.D. ^{[1
]}

机构：

[1] Department of General Mathematics, Faculty of Computational Mathematics and Cybernetics, Moscow State University, Leninskie gory

来源：

Moscow University Computational Mathematics and Cybernetics | 2007年 / 31卷 / 3期

关键词：

Invariant Subspace; Unit Matrice; Leninskie Gory; Adjoint Matrix; General Mathematic;

D O I：

10.3103/S027864190703003X

中图分类号：

学科分类号：

摘要：

A matrix A ∈ M n(C) is said to be irreducible if the only orthoprojectors that commute with A are the zero and unit matrices. A finite rational criterion for irreducibility is proposed. The criteria for verification of this property that can be found in the literature are neither finite nor rational. © 2007 Allerton Press, Inc.

引用

页码：95 / 96

页数：1