Conditioning of the exponential of a block triangular matrix

被引：12

作者：

Dieci, L

Papini, A

机构：

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

[2] Univ Florence, Dept Energet S Stecco, I-50134 Florence, Italy

来源：

NUMERICAL ALGORITHMS | 2001年 / 28卷 / 1-4期

基金：

美国国家科学基金会;

关键词：

conditioning; exponential of a matrix; diagonal Pade; scaling and squaring;

D O I：

10.1023/A:1014071202885

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose a new measure of conditioning for the exponential of a block triangular matrix. We also show that different "condition numbers" must be used to assess the accuracy of different algorithms which implement diagonal Pade with scaling and squaring.

引用

页码：137 / 150

页数：14

共 13 条

[1] Pade approximation for the exponential of a block triangular matrix [J].