Conditioning and Pade approximation of the logarithm of a matrix

被引：14

作者：

Dieci, L ^{[1
]}

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：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 2000年 / 21卷 / 03期

关键词：

logarithm; conditioning; Frechet derivative; Pade approximation;

D O I：

10.1137/S089547989834531X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we (i) use the theory of piecewise analytic functions to represent the Frechet derivative of any primary matrix function, in particular of primary logarithms; (ii) propose an indicator to assess inherent difficulties to compute a logarithm; and (iii) revisit Pade approximation techniques for the principal logarithm of block triangular matrices.

引用

收藏

页码：913 / 930

页数：18

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