ON THE BEZOUTIAN STRUCTURE OF THE MOORE-PENROSE INVERSES OF HANKEL-MATRICES

被引：12

作者：

HEINIG, G

HELLINGER, F

机构：

来源：

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS | 1993年 / 14卷 / 03期

关键词：

HANKEL MATRIX; TOEPLITZ MATRIX; GENERALIZED INVERSE; MOORE PENROSE INVERSE; BEZOUTIAN MATRIX;

D O I：

10.1137/0614044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that the Moore-Penrose inverses of Hankel matrices are generalized Bezoutians. This result generalizes the well-known fact that Hankel matrix inverses are (classical) Bezoutians.

引用

页码：629 / 645

页数：17

共 25 条

[1] AMMAR G, 1990, SIGNAL PROCESSING SC, V3
[2] GENERALIZED BEZOUTIAN AND SYLVESTER MATRICES IN MULTIVARIABLE LINEAR-CONTROL
ANDERSON, BDO
JURY, EI
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (04) : 551 - 556
[3] BENARTZI A, 1985, INTEGR EQUAT OPER TH, V8, P173
[4] BENISRAEL A, 1974, GENERALIZED INVERSES
[5] Davis PJ, 1979, CIRCULANT MATRICES
[6] ON THE TOEPLITZ EMBEDDING OF AN ARBITRARY MATRIX
DELSARTE, P
GENIN, Y
KAMP, Y
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1983, 51 (JUN) : 97 - 119
[7] 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
[8] Gohberg I., 1974, REV ROUM MATH PURE A, V19, P623
[9] Gohberg IC, 1972, MAT ISSLED, V7, P201
[10] TOEPLITZ MATRICES WITH TOEPLITZ INVERSES REVISITED
GREVILLE, TNE
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 1983, 55 (DEC) : 87 - 92

← 1 2 3 →