On the Construction of Stability Indicators for Nonnegative Matrices

被引：0
|
作者：
Razzhevaikin, V. N. [1 ]
Tyrtyshnikov, E. E. [2 ]
机构：
[1] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Moscow 119333, Russia
[2] Russian Acad Sci, Marchuk Inst Numer Math, Moscow 119991, Russia
来源：
MATHEMATICAL NOTES | 2021年 / 109卷 / 3-4期
基金：
俄罗斯科学基金会;
关键词：
nonnegative matrix; stability indicator;
D O I：
10.1134/S0001434621030111
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a square nonnegative matrix A, a simple algorithm is suggested for constructing a stability indicator characterizing the localization of its spectrum in the unit disk. Theorems are proved which establish the possibility of using the maximum of 1 - det(I - J) over all possible principal submatrices J of A as a suitable indicator and give conditions under which such a maximum can be calculated only over a certain chain of leading principal submatrices. Applied problems that need such constructions and a relationship between the obtained results and similar results established for a number of matrices of special form are considered.
引用
收藏
页码：435 / 444
页数：10
相关论文
共 50 条
12345