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arXiv · 1510.00747

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

Luis Verde-Star
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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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Luis Verde-Star. 2015-10-02. Elementary triangular matrices and inverses of $k$-Hessenberg and triangular matrices. https://arxiv.org/abs/1510.00747

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