On smooth decompositions of matrices

被引：147

作者：

Dieci, L ^{[1
]}

Eirola, T

机构：

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

[2] Univ Joensuu, Dept Math, FIN-80101 Joensuu, Finland

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1999年 / 20卷 / 03期

关键词：

smooth orthonormal factorizations; QR factorization; Schur-decomposition; singular value decomposition; polar decomposition;

D O I：

10.1137/S0895479897330182

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider smooth orthonormal decompositions of smooth time varying matrices. Among others, we consider QR-, Schur-, and singular value decompositions, and their block-analogues. Sufficient conditions for existence of such decompositions are given and differential equations for the factors are derived. Also generic smoothness of these factors is discussed.

引用

页码：800 / 819

页数：20

共 17 条

[1]

[Anonymous], RESULTATE MATH

[2]

Arnold, 1988, GEOMETRICAL METHODS

[3]

Benettin G., 1980, MECCANICA, V15, P9, DOI DOI 10.1007/BF02128236

[4] NUMERICAL COMPUTATION OF AN ANALYTIC SINGULAR VALUE DECOMPOSITION OF A MATRIX VALUED FUNCTION [J].