In:
PAMM, Wiley, Vol. 7, No. 1 ( 2007-12), p. 2020089-2020090
Abstract:
Let A , E ∈ ℂ n × n be two given matrices, where rank E = r 〈 n . Matrix E is written in the form E = UV H where U , V ∈ ℂ n × r have rank r . 0 is an eigenvalue of E with algebraic (resp. geometric) multiplicity m ( g = n – r ≤ m ). We consider the pencil P z = ( A – zI ) + tE , defined for t ∈ ℂ and depending on the complex parameter z ∈ ℂ. We analyze how its structure [8] evolves as the parameter z varies, by means of conceptual tools borrowed from Homotopic Deviation theory [1, 3]. As an example with z = 0, the structure of the pencil A + tE is determined by Homotopic Deviation. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Type of Medium:
Online Resource
ISSN:
1617-7061
,
1617-7061
DOI:
10.1002/pamm.200700595
Language:
English
Publisher:
Wiley
Publication Date:
2007
detail.hit.zdb_id:
2078931-2
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