Positive extension and completion problems for a class of structured matrices

Authors
Bolotnikov, V Rodman, L
Citation
V. Bolotnikov et L. Rodman, Positive extension and completion problems for a class of structured matrices, LINEAR MULT, 48(3), 2001, pp. 189-235
Citations number
34
Categorie Soggetti
Mathematics
Journal title
LINEAR & MULTILINEAR ALGEBRA
ISSN journal
03081087 → ACNP
Volume
48
Issue
3
Year of publication
2001
Pages
189 - 235
Database
ISI
SICI code
0308-1087(2001)48:3<189:PEACPF>2.0.ZU;2-C
Abstract
A class of matrices, defined by a displacement rank property, is introduced . Completion and extension problems are studied for matrices in this class, under certain positivity constraints. The extension problem is reduced to a standard interpolation problem for Schur matrix valued Functions.