The possible shapes of numerical ranges
Functional Analysis
2011-04-26 v1 Algebraic Geometry
Abstract
Which convex subsets of the complex plane are the numerical range W(A of some matrix A? This paper gives a precise characterization of these sets. In addition to this we show that for any A there exists a symmetric matrix B of the same size such that W(A)=W(B).
Cite
@article{arxiv.1104.4587,
title = {The possible shapes of numerical ranges},
author = {J. William Helton and Ilya M. Spitkovsky},
journal= {arXiv preprint arXiv:1104.4587},
year = {2011}
}
Comments
4 pages