The antitriangular factorization of skew-symmetric matrices

08/30/2019
by   Sanja Singer, et al.
0

In this paper we develop algorithms for 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, antitriangular form is always obtained. Moreover, simple two-sided permutation of the antitriangular form transforms the matrix into multi-arrowhead matrix. In addition, we show here that the block antitriangular form of the skew-Hermitian matrices has the same structure as the block antitriangular form of the symmetric matrices.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset