A reducing approach for symmetrically sparse banded and anti-banded matrices

• Tipo: Artigo em Revista Científica Internacional
• Data: 2019

Autores

Bebiano, N (Autor) Outra; Susana Borges Furtado (Autor) FEP

Revista

Título: Linear Algebra and Its Applications

Vol. 581

Páginas: 36-50

ISSN: 0024-3795

Editora: Elsevier

Indexação

ISI Web of Knowledge - 5 Citações

Scopus - 5 Citações

Outras Informações

ID Authenticus: P-00Q-T3H

DOI: 10.1016/j.laa.2019.07.006

Abstract (EN): In this paper we consider sparse symmetrically banded matrices in which the nonzero off-diagonals are positioned a multiple of k steps from the main diagonal. We show that such a matrix T is permutationally similar to direct sum of banded matrices. In particular, when T has exactly one nonzero off-diagonal above and below the main diagonal, the direct summands are tridiagonal. If T has a w-Toeplitz structure, the blocks are w'-Toeplitz, with w' = 1cm(w, k)/k. This reduction allows the study of spectral properties of T from those of the direct summands. Finally, we give a reduction of sparse symmetrically banded matrices relatively to the main antidiagonal.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 15