Inversion of a generalized block Loewner matrix, the minimal partial realization, and matrix rational interpolation problem

Authors
Chen, GN Hu, YJ
Citation
Gn. Chen et Yj. Hu, Inversion of a generalized block Loewner matrix, the minimal partial realization, and matrix rational interpolation problem, LIN ALG APP, 286(1-3), 1999, pp. 223-259
Citations number
40
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
286
Issue
1-3
Year of publication
1999
Pages
223 - 259
Database
ISI
SICI code
0024-3795(19990101)286:1-3<223:IOAGBL>2.0.ZU;2-Q
Abstract
Inversion theorems for generalized block Loewner matrices with non-square b locks are presented. Connections are made to the general (i.e. Hermite) mat rix rational interpolation, theory of partial realization and its extension s, theoretical and computational aspects of many other special types of mat rices such as block Hankel, block Toeplitz, Vandermonde, block Bezout, etc. (C) 1999 Elsevier Science Inc. All rights reserved.