Hartwig-Spindelb\"ock decomposition of dual complex matrix
Rings and Algebras
2024-10-30 v1
Abstract
This article introduces the Hartwig-Spindelb\"{o}ck decomposition of dual complex matrices. We provide representations of some generalized inverses using this decomposition. Further, several characterizations are established for a complex matrix to be Hermitian, normal and new dual EP matrix.
Keywords
Cite
@article{arxiv.2410.21906,
title = {Hartwig-Spindelb\"ock decomposition of dual complex matrix},
author = {Aaisha Be and Debasisha Mishra},
journal= {arXiv preprint arXiv:2410.21906},
year = {2024}
}
Comments
This article introduces the Hartwig-Spindelb\"{o}ck decomposition of dual complex matrices. We provide representations of some generalized inverses using this decomposition. Further, several characterizations are established for a complex matrix to be Hermitian, normal and new dual EP matrix