@article {
author = {Meng, L.},
title = {Perturbation bounds for $g$-inverses with respect to the unitarily invariant norm},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {43},
number = {7},
pages = {2655-2662},
year = {2017},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {Let complex matrices $A$ and $B$ have the same sizes. Using the singular value decomposition, we characterize the $g$-inverse $B^{(1)}$ of $B$ such that the distance between a given $g$-inverse of $A$ and the set of all $g$-inverses of the matrix $B$ reaches minimum under the unitarily invariant norm. With this result, we derive additive and multiplicative perturbation bounds of the nearest perturbed $g$-inverse. These results generalize and improve the existing results published recently to some extent.},
keywords = {$g$-inverse,additive perturbation bound,multiplicative perturbation bound,unitarily invariant norm},
url = {http://bims.iranjournals.ir/article_1256.html},
eprint = {http://bims.iranjournals.ir/article_1256_48f9f6287f956af831c7368cb1ae09b4.pdf}
}