Max-min and min-max approximation problems for normal matrices revisited
Numerical Analysis
2013-10-23 v1
Abstract
We give a new proof for an equality of certain max-min and min-max approximation problems involving normal matrices. The previously published proofs of this equality apply tools from matrix theory, (analytic) optimization theory and constrained convex optimization. Our proof uses a classical characterization theorem from approximation theory and thus exploits the link between the two approximation problems with normal matrices on the one hand and approximation problems on compact sets in the complex plane on the other.
Cite
@article{arxiv.1310.5880,
title = {Max-min and min-max approximation problems for normal matrices revisited},
author = {Jörg Liesen and Petr Tichý},
journal= {arXiv preprint arXiv:1310.5880},
year = {2013}
}
Comments
Written in memory of Bernd Fischer