Hartwig-Spindelb\"ock decomposition of dual complex matrix
Aaisha Be, Debasisha Mishra
TL;DR
This paper introduces the Hartwig-Spindelb"ock decomposition for dual complex matrices, providing new representations of generalized inverses and characterizations of matrix properties like Hermitian, normal, and dual EP matrices.
Contribution
It presents the first application of Hartwig-Spindelb"ock decomposition to dual complex matrices, offering novel characterizations and inverse representations.
Findings
New decomposition method for dual complex matrices
Characterizations of Hermitian, normal, and dual EP matrices
Representation formulas for generalized inverses
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.
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Taxonomy
TopicsMatrix Theory and Algorithms · graph theory and CDMA systems · Mathematics and Applications