@Article{JCM-16-2,
author = {Zhang, Daosheng},
title = {On Matrix Unitarily Invariant Norm Condition Number},
journal = {Journal of Computational Mathematics},
year = {1998},
volume = {16},
number = {2},
pages = {121--128},
abstract = {<p style="text-align: justify;">In this paper, the unitarily invariant norm $\|\cdot\|$ on $\mathbb{C}^{m\times n}$ is used. We first discuss the problem under what case, a rectangular matrix $A$ has minimum condition number $K (A)=\| A \| \ \|A^+\|$, where $A^+$ designates the Moore-Penrose inverse of $A$; and under what condition, a square matrix $A$ has minimum condition number for its eigenproblem? Then we consider the second problem, i.e., optimum of $K (A)=\|A\| \ \|A^{-1}\|_2$ in error estimation.&nbsp;</p>},
issn = {1991-7139},
doi = {https://doi.org/1998-JCM-9146},
url = {https://global-sci.com/article/85676/on-matrix-unitarily-invariant-norm-condition-number}
}