The core inverse and constrained matrix approximation problem
Rings and Algebras
2019-08-30 v1
Abstract
In this paper,we study the constrained matrix approximation problem in the Frobenius norm by using the core inverse:\begin{align}\nonumber \left\|{Mx - b} \right\|_F=\min\ \ {\rm subject\ to} \ \ {x\in\mathcal{R}(M)} ,\end{align} where . We get the unique solution to the problem, provide two Cramer's rules for the unique solution, and establish two new expressions for the core inverse.
Cite
@article{arxiv.1908.11077,
title = {The core inverse and constrained matrix approximation problem},
author = {Hongxing Wang and Xiaoyan Zhang},
journal= {arXiv preprint arXiv:1908.11077},
year = {2019}
}