BRUNOWSKY LOCAL FORM OF A HOLOMORPHIC FAMILY OF PAIRS OF MATRICES

Authors
FERRER J GARCIA MMI PUERTA F
Citation
J. Ferrer et al., BRUNOWSKY LOCAL FORM OF A HOLOMORPHIC FAMILY OF PAIRS OF MATRICES, Linear algebra and its applications, 253, 1997, pp. 175-198
Citations number
11
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
253
Year of publication
1997
Pages
175 - 198
Database
ISI
SICI code
0024-3795(1997)253:<175:BLFOAH>2.0.ZU;2-7
Abstract
Following Arnold's techniques, we obtain a local canonical form of a h olomorphic family of pairs of matrices (A(lambda), B(lambda)) acted on by the state feedback group. We obtain an explicit formula to compute the dimension of the base space of any miniversal deformation of (A(0 ), B(0)). We make some applications to local perturbations of a pair o f matrices. (C) Elsevier Science Inc., 1997.