Elementary triangular matrices and inverses of k-Hessenberg and triangular matrices

2015/10/02 by Luis Verde-Star, Verde-Star, Luis
Mathematics · #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.1510.00747

11 pages

arxiv created 2015/10/02 · arxiv updated 2015/10/06

Abstract

We use elementary triangular matrices to obtain some factorization, multiplication, and inversion properties of triangular matrices. We also obtain explicit expressions for the inverses of strict k-Hessenberg matrices and banded matrices. Our results can be extended to the cases of block triangular and block Hessenberg matrices.

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