Dual Core-EP Generalized Inverse and Decomposition
Numerical Analysis
2025-02-10 v1 Numerical Analysis
Abstract
In this work, we introduce a new type of generalized inverse called dual core-EP generalized inverse (in short DCEPGI) for dual square matrices. We analyze the existence and uniqueness of the DCEPGI inverse and its compact formula using dual Drazin and dual MP inverse. Moreover, some characterizations using core-EP decomposition are obtained. We present a new dual matrix decomposition named the dual core-EP decomposition for square dual matrices. In addition, some relationships with other dual generalized inverses are established. As an application, solutions to some inconsistent system of linear dual equations are derived.
Keywords
Cite
@article{arxiv.2502.04652,
title = {Dual Core-EP Generalized Inverse and Decomposition},
author = {Bibekananda Sitha and Jajati Keshari Sahoo and Nestor Thome},
journal= {arXiv preprint arXiv:2502.04652},
year = {2025}
}