Generalized Pseudoskeleton Decompositions
Numerical Analysis
2022-07-01 v1 Numerical Analysis
Abstract
We characterize some variations of pseudoskeleton (also called CUR) decompositions for matrices and tensors over arbitrary fields. These characterizations extend previous results to arbitrary fields and to decompositions which use generalized inverses of the constituent matrices, in contrast to Moore--Penrose pseudoinverses in prior works which are specific to real or complex valued matrices, and are significantly more structured.
Cite
@article{arxiv.2206.14905,
title = {Generalized Pseudoskeleton Decompositions},
author = {Keaton Hamm},
journal= {arXiv preprint arXiv:2206.14905},
year = {2022}
}