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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2012

Autores

Maria Isabel Bueno (Autor) Outra; Susana Borges Furtado (Autor) FEP

Revista

Título: Electronic Journal of Linear Algebra

Vol. 23

Páginas: 562-577

ISSN: 1537-9582

Editora: INT LINEAR ALGEBRA SOC

Indexação

ISI Web of Knowledge - 20 Citações

ISI Web of Science

Scopus - 22 Citações

Classificação Científica

FOS: Ciências exactas e naturais

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 16