Generalized Principal Pivot Transform and its Inheritance Properties
Functional Analysis
2021-08-13 v1
Abstract
In this paper, some more properties of the generalized principal pivot transform are derived. Necessary and sufficient conditions for the equality between Moore-Penrose inverse of a generalized principal pivot transform and its complementary generalized principal pivot transform are presented. It has been shown that the generalized principal pivot transform preserves the rank of symmetric part of a given square matrix. These results appear to be more generalized than the existing ones. Inheritance property of -matrix are also characterized for generalized principal pivot transform.
Cite
@article{arxiv.2108.05883,
title = {Generalized Principal Pivot Transform and its Inheritance Properties},
author = {K. Kamaraj and P. Sam Johnson and Sachin Manjunath Naik},
journal= {arXiv preprint arXiv:2108.05883},
year = {2021}
}
Comments
15 pages