Discontinuity of the Lempert function of the spectral ball
Complex Variables
2009-09-07 v4 Optimization and Control
Abstract
We give some further criteria for continuity or discontinuity of the Lempert funtion of the spectral ball , with respect to one or both of its arguments, in terms of cyclicity the matrices involved.
Cite
@article{arxiv.0811.3093,
title = {Discontinuity of the Lempert function of the spectral ball},
author = {Pascal J. Thomas and Nguyen Van Trao},
journal= {arXiv preprint arXiv:0811.3093},
year = {2009}
}
Comments
12 pages; the converse to theorem 1.3, mistakenly claimed in v1 & 2, excised from v3, is now proved in some cases