MOORE-PENROSE INVERSION OF SQUARE TOEPLITZ MATRICES

Authors
HEINIG G HELLINGER F
Citation
G. Heinig et F. Hellinger, MOORE-PENROSE INVERSION OF SQUARE TOEPLITZ MATRICES, SIAM journal on matrix analysis and applications, 15(2), 1994, pp. 418-450
Citations number
23
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on matrix analysis and applications → ACNP
ISSN journal
08954798
Volume
15
Issue
2
Year of publication
1994
Pages
418 - 450
Database
ISI
SICI code
0895-4798(1994)15:2<418:MIOSTM>2.0.ZU;2-H
Abstract
Fast algorithms for the computation of the Moore-Penrose inverse A+ of a square Toeplitz matrix A are constructed based on Bezoutian represe ntations of A+. Two approaches are presented. The first approach is a recursion of the nested submatrices, the second approach uses generali zed inverses of A that are Bezoutians and a global formula.