Inequalities on the spectral abscissa for matrices arising in a stage-structured population model

被引：0

作者：

Hastings, Alan ^{[1
]}

van den Driessche, P. ^{[2
]}

机构：

[1] Univ Calif Davis, Dept Environm Sci & Policy, Davis, CA 95616 USA

[2] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 2Y2, Canada

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2015年 / 494卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

M-matrix; Spectral abscissa; Stage-structured matrix; DYNAMICS;

D O I：

10.1016/j.laa.2016.01.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The spectral abscissa of a convex combination of two matrices of special form is compared with the convex combination of their individual spectral bounds. The matrices are essentially nonnegative and both the special form and the form of the comparison arise from a linear stage-structured population model. By using M-matrix theory, the problem is converted to a comparison of the spectral radii of two related matrices. Theoretical results are derived for special cases of an arbitrary number of stage classes, and in particular confirm all previous numerical observations for the model with two stage classes. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：90 / 104

页数：15

共 8 条

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