Sufficient conditions for the convergence of the Magnus expansion

被引：56

作者：

Casas, Fernando ^{[1
]}

机构：

[1] Univ Jaume, Dept Matemat, E-12071 Castellon de La Plana, Spain

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2007年 / 40卷 / 50期

关键词：

D O I：

10.1088/1751-8113/40/50/006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Two different sufficient conditions are given for the convergence of the Magnus expansion arising in the study of the linear differential equation Y'=A(t)Y. The first one provides a bound on the convergence domain based on the norm of the operator A(t). The second condition links the convergence of the expansion with the structure of the spectrum of Y(t), thus yielding a more precise characterization. Several examples are proposed to illustrate the main issues involved and the information on the convergence domain provided by both conditions.

引用

页码：15001 / 15017

页数：17