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

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...

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Bibliographic Details
Main Author: Verde-Star Luis
Format: Article
Language:English
Published: De Gruyter 2015-11-01
Series:Special Matrices
Subjects:
Online Access:http://www.degruyter.com/view/j/spma.2015.3.issue-1/spma-2015-0025/spma-2015-0025.xml?format=INT