Structured strong linearizations from Fiedler pencils with repetition II

• Type: Article in International Scientific Journal
• Date: 2014

Authors

Bueno, MI (Author) Other; Susana Borges Furtado (Author) FEP

Journal

Title: Linear Algebra and Its Applications

Vol. 463

Pages: 282-321

ISSN: 0024-3795

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 13 Citations

Scopus - 15 Citations

Other information

Authenticus ID: P-009-V83

DOI: 10.1016/j.1aa.2014.08.029

Abstract (EN): In this paper we give strong linearizations of a matrix polynomial P(lambda) preserving the skew-symmetry or T-alternating structure of P(lambda). The linearizations obtained are of the form SL(lambda), where L(lambda) is a block-symmetric Fiedler pencil with repetition and S is a direct sum of blocks of the form I or -I, with I the identity matrix. This paper is a continuation of [2], where the corresponding problem for P(lambda) with a symmetric structure was studied and, as a consequence, the block-symmetric Fiedler pencils with repetition were characterized.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 40