DISPLACEMENT STRUCTURE OF GENERALIZED INVERSE MATRICES

被引：9

作者：

HEINIG, G ^{[1
]}

HELLINGER, F ^{[1
]}

机构：

[1] UNIV LEIPZIG,FACHBEREICH MATH INFORMAT,D-04109 LEIPZIG,GERMANY

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1994年 / 211卷

关键词：

D O I：

10.1016/0024-3795(94)90083-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that matrices with a UV-displacement structure possess generalized inverses with a VU-displacement structure. Estimations for the displacement rank of the generalized inverses are presented. The results apply to matrices of Toeplitz, Vandermonde, and Cauchy type and provide formulas for generalized inverses which are important for fast algorithms.

引用

页码：67 / 83

页数：17

共 15 条

[1] BENISRAEL A, 1974, GENERALIZED INVERSES
[2] DISPLACEMENT STRUCTURE FOR HANKEL, VANDERMONDE, AND RELATED (DERIVED) MATRICES
CHUN, J
KAILATH, T
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1991, 151 : 199 - 227
[3] ON BEZOUTIANS OF NONSQUARE MATRIX POLYNOMIALS AND INVERSION OF MATRICES WITH NONSQUARE BLOCKS
GOHBERG, I
SHALOM, T
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1990, 137 : 249 - 323
[4] LINEAR COMPLEXITY PARALLEL ALGORITHMS FOR LINEAR-SYSTEMS OF EQUATIONS WITH RECURSIVE STRUCTURE
GOHBERG, I
KAILATH, T
KOLTRACHT, I
LANCASTER, P
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1987, 88-9 : 271 - 315
[5] EFFICIENT SOLUTION OF LINEAR-SYSTEMS OF EQUATIONS WITH RECURSIVE STRUCTURE
GOHBERG, I
KAILATH, T
KOLTRACHT, I
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1986, 80 : 81 - 113
[6] PARALLEL AND SUPERFAST ALGORITHMS FOR HANKEL SYSTEMS OF EQUATIONS
HEINIG, G
JANKOWSKI, P
[J]. NUMERISCHE MATHEMATIK, 1990, 58 (01) : 109 - 127
[7] ON THE BEZOUTIAN STRUCTURE OF THE MOORE-PENROSE INVERSES OF HANKEL-MATRICES
HEINIG, G
HELLINGER, F
[J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1993, 14 (03) : 629 - 645
[8] HEINIG G, 1984, ALBEBRAIC METHODS TO
[9] HEINIG G, 1994, LINEAR ALGEBRA APPL, V197, P623
[10] HEINIG G, IN PRESS LINEAR ALGE

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