On matrices with simple spectra arising from tensor products
R.N. Gumerov, S.I. Vidunov
TL;DR
This paper investigates how to approximate multiple matrices simultaneously with diagonalizable matrices that have simple spectra, focusing on spectral properties of their products.
Contribution
It introduces a method for approximating matrices with diagonalizable matrices that have simple spectra, considering spectral conditions of their products.
Findings
Successful approximation of matrices with simple spectra
Conditions ensuring spectral simplicity of matrix products
Framework for simultaneous approximation with spectral constraints
Abstract
This note deals with a simultaneous approximation of several matrices by a finite family of diagonalizable matrices satisfying an additional condition for the spectrum of a matrix product. That is the simplicity of all eigenvalues.
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Taxonomy
TopicsTensor decomposition and applications · Matrix Theory and Algorithms · Advanced Topics in Algebra