Symbolic estimation of distances between eigenvalues of Hermitian operator

2016/08/13 by Ilia Lomidze, Lomidze, Ilia, Natela Chachava +1
Computer Science · Physics and Astronomy · Mathematics · #Matrix Theory and Algorithms #Advanced Mathematical Theories and Applications #Advanced Optimization Algorithms Research

paper · pdf · doi:10.48550/arxiv.1608.04989

Abstract

We find out a method for symbolic estimation of a minimal (maximal) distance between eigenvalues of a Hermitian matrix (or roots of a polynomial with real (maybe degenerated) roots), using Hankel matrices formalism. The range of location of eigenvalues is symbolically estimated too. All estimations can be done with any precision.

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