On real logarithms of nearby matrices and structured matrix interpolation

被引：7

作者：

Dieci, L ^{[1
]}

Morini, B

Papini, A

Pasquali, 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：

APPLIED NUMERICAL MATHEMATICS | 1999年 / 29卷 / 01期

关键词：

logarithm of matrix; structured matrix interpolation;

D O I：

10.1016/S0168-9274(98)00027-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Theoretical and algorithmic results are given for the numerical computation of real logarithms of nearby matrices. as an application, and an original motivation for this study, interpolation for sequences of invertible matrices is considered particularly for matrices with a given structure (for example, orthogonal, symplectic, or positive definite), so that the resulting interpolants share the structural properties of the data. Error analysis, implementation details and examples are provided. (C) 1999 Elsevier Science B.V. and IMACS. All rights reserved.

引用

页码：145 / 165

页数：21

共 12 条

[1]

[Anonymous], MATL REF GUID

[2] POLYNOMIAL AND RATIONAL MATRIX INTERPOLATION - THEORY AND CONTROL APPLICATIONS [J].