The antitriangular factorization of skew-symmetric matrices

Sanja Singer

Applied Mathematics and Computation, 2020, vol. 381, issue C

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: Skew-symmetric matrices; Antitriangular form; Multi-arrowhead matrices; Skew-Hermitian matrices (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:381:y:2020:i:c:s0096300320302320

DOI: 10.1016/j.amc.2020.125263

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