The antitriangular factorization of skew-symmetric matrices
Numerical Analysis
2020-05-05 v4 Numerical Analysis
Abstract
In this paper we develop algorithms for orthogonal similarity transformations of skew-symmetric matrices to simpler forms. The first algorithm is similar to the algorithm for the block antitriangular factorization of symmetric matrices, but in the case of skew-symmetric matrices, an antitriangular form is always obtained. Moreover, a simple two-sided permutation of the antitriangular form transforms the matrix into a multi-arrowhead matrix. In addition, we show that the block antitriangular form of the skew-Hermitian matrices has the same structure as the block antitriangular form of the symmetric matrices.
Keywords
Cite
@article{arxiv.1909.00092,
title = {The antitriangular factorization of skew-symmetric matrices},
author = {Sanja Singer},
journal= {arXiv preprint arXiv:1909.00092},
year = {2020}
}
Comments
Corrected Author's Accepted Manuscript. For the supplementary material see https://github.com/venovako/ATFact repository