THE 2-SIDED RESIDUE INTERPOLATION IN THE STIELTJES CLASS FOR MATRIX FUNCTIONS

Authors
ALPAY D BALL JA GOHBERG I RODMAN L
Citation
D. Alpay et al., THE 2-SIDED RESIDUE INTERPOLATION IN THE STIELTJES CLASS FOR MATRIX FUNCTIONS, Linear algebra and its applications, 209, 1994, pp. 485-521
Citations number
13
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
209
Year of publication
1994
Pages
485 - 521
Database
ISI
SICI code
0024-3795(1994)209:<485:T2RIIT>2.0.ZU;2-Z
Abstract
The general two-sided directional interpolation problem in the Stieltj es class for matrix functions is solved. An explicit description of al l solutions is presented in terms of the original data. The method is based on the reduction of this problem to the solution of homogeneous interpolation problems with symmetries for rational matrix functions.