The antitriangular factorization of skew-symmetric matrices (CROSBI ID 278330)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Singer, Sanja
engleski
The antitriangular factorization of skew-symmetric matrices
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.
skew-symmetric matrices ; antitriangular form ; multi-arrowhead matrices ; skew-Hermitian matrices
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Podaci o izdanju
381
2020.
125263
9
objavljeno
0096-3003
1873-5649
10.1016/j.amc.2020.125263