arXiv Open Access 2011

A bound below for the convex hull of the spectrum of a matrix

Eliahu Levy

Lihat Sumber

Abstrak

In this note the following is shown. Consider the quadratic form on (complex) matrices Q(A):=tr(A^2). Let A be such a matrix. Then an ellipse can be found, with the vector from center to focus determined by the value of Q at the traceless part of A, which must be contained in the convex hull of the spectrum of A.

Topik & Kata Kunci

math.SP

Penulis (1)

Eliahu Levy

Format Sitasi

APA MLA BibTeX

Levy, E. (2011). A bound below for the convex hull of the spectrum of a matrix. https://arxiv.org/abs/1102.5027

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2011
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓