Pseudo Schur Complements, Pseudo Principal Pivot Transforms and Their Inheritance Properties
Functional Analysis
2015-04-20 v1
Abstract
In this short note, we prove some basic results on pseudo Schur complement and the pseudo principal pivot transform of a block matrix. Pseudo Schur complement and pseudo principal pivot ransform are extensions of the Schur complement and the principal pivot transform, respectively, where the usual inverse is replaced by the Moore-Penrose inverse. The objective is to record these results for use in future.
Keywords
Cite
@article{arxiv.1504.04527,
title = {Pseudo Schur Complements, Pseudo Principal Pivot Transforms and Their Inheritance Properties},
author = {Kavita Bisht and K. C. Sivakumar},
journal= {arXiv preprint arXiv:1504.04527},
year = {2015}
}