PALINDROMIC LINEARIZATIONS OF A MATRIX POLYNOMIAL OF ODD DEGREE OBTAINED FROM FIEDLER PENCILS WITH REPETITION

• Type: Article in International Scientific Journal
• Date: 2012

Authors

Maria Isabel Bueno (Author) Other; Susana Borges Furtado (Author) FEP

Journal

Title: Electronic Journal of Linear Algebra

Vol. 23

Pages: 562-577

ISSN: 1537-9582

Publisher: INT LINEAR ALGEBRA SOC

Indexing

ISI Web of Knowledge - 20 Citations

ISI Web of Science

Scopus - 22 Citations

Scientific classification

FOS: Natural sciences

Other information

Authenticus ID: P-002-959

Abstract (EN): Many applications give rise to structured, in particular T-palindromic, matrix polynomials. In order to solve a polynomial eigenvalue problem P(lambda)x = 0, where P(lambda) is a T-palindromic matrix polynomial, it is convenient to use palindromic linearizations to ensure that the symmetries in the eigenvalues, elementary divisors, and minimal indices of P(lambda) due to the palindromicity are preserved. In this paper, new T-palindromic strong linearizations valid for all palindromic matrix polynomials of odd degree are constructed. These linearizations are formulated in terms of Fiedler pencils with repetition, a new family of companion forms that was obtained recently by Antoniou and Vologiannidis.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 16