Tuesday, 10 May 2011

Wseas Transactions

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Transactions: INTERNATIONAL JOURNAL of APPLIED MATHEMATICS AND INFORMATICS
Transactions ID Number: 20-777
Full Name: Maria Isabel Garcia-Planas
Position: Associate Professor
Age: ON
Sex: Female
Address: C. Mineria, 1. Esc. C, 1-3, 08038 Barcelona
Country: SPAIN
Tel: 932966271
Tel prefix: 34
Fax:
E-mail address: maria.isabel.garcia@upc.edu
Other E-mails: garcia_planas@msn.com
Title of the Paper: Deformations of monic polynomial matrices. Analysis of perturbation of eigenvalues
Authors as they appear in the Paper: M. I. Garcia-Planas, S. Tarragona
Email addresses of all the authors: maria.isabel.garcia@upc.edu,
Number of paper pages: 8
Abstract: Let $P(\lambda)=\sum_{i=0}^{k}\lambda^{i}A_{i}(p)$ be a family of monic polynomial matrices smoothly dependent on a vector of real parameters $p=(p_{1},\ldots ,p_{n})$. In this work we study behavior of a multiple eigenvalue of the monic polynomial family $P(\lambda)$ as well as we study of behavior of a simple eigenvalue of a family of 1-degree singular polynomial matrices representing families of singular linear systems.
Keywords: Polynomial matrix, Eigenvalues, Perturbation
EXTENSION of the file: .pdf
Special (Invited) Session: Perturbation analysis of eigenvalues of polynomial matrices smoothly depending on parameters
Organizer of the Session: 659-191
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