Elementary triangular matrices and inverses of $k$-Hessenberg and triangular matrices
Rings and Algebras
2015-10-06 v1
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 -Hessenberg matrices and banded matrices. Our results can be extended to the cases of block triangular and block Hessenberg matrices.
Cite
@article{arxiv.1510.00747,
title = {Elementary triangular matrices and inverses of $k$-Hessenberg and triangular matrices},
author = {Luis Verde-Star},
journal= {arXiv preprint arXiv:1510.00747},
year = {2015}
}
Comments
11 pages