BITANGENTIAL INTERPOLATION PROBLEMS FOR SYMMETRICAL RATIONAL MATRIX FUNCTIONS

Authors
BALL JA KIM J
Citation
Ja. Ball et J. Kim, BITANGENTIAL INTERPOLATION PROBLEMS FOR SYMMETRICAL RATIONAL MATRIX FUNCTIONS, Linear algebra and its applications, 243, 1996, pp. 113-152
Citations number
35
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
243
Year of publication
1996
Pages
113 - 152
Database
ISI
SICI code
0024-3795(1996)243:<113:BIPFSR>2.0.ZU;2-9
Abstract
We develop the zero-pole structure of rational matrix functions Theta( s) that satisfy an identity of the form Theta(s)V-T Theta(s) = V for s ome square matrix V for which V = alpha V-T, where alpha = +/-1. As an application we describe the set of symmetric or antisymmetric solutio ns of a set of bitangential interpolation conditions. Solutions of bit angential interpolation conditions satisfying other types of symmetrie s are also discussed.