Split algorithms for skewsymmetric Toeplitz matrices with arbitrary rank profile

https://doi.org/10.1016/j.tcs.2004.01.003Get rights and content
Under an Elsevier user license
open archive

Abstract

Split Levinson-type and Schur-type algorithms for the solutions of linear systems with a nonsingular skewsymmetric Toeplitz matrix are designed. In contrast to previous ones, the algorithms work for any nonsingular skewsymmetric Toeplitz matrix. Moreover, generalizations of ZW- and WZ-factorizations of skewsymmetric Toeplitz matrices related to the new split algorithms are presented.

MSC

65F05
15A06
15A23
15A09

Keywords

Toeplitz matrix
Skewsymmetric matrix
Split algorithm
Levinson algorithm
Schur algorithm
WZ-factorization

Cited by (0)

This work was supported by Research Grant SM05/02 of Kuwait University.