A constructive version of the Boyle-Handelman theorem on the spectra of nonnegative matrices
Thomas J. Laffey
TL;DR
This paper presents a constructive approach to the Boyle-Handelman theorem, providing explicit methods to realize spectra of nonnegative matrices, advancing the understanding of their spectral properties.
Contribution
It offers a constructive proof of the Boyle-Handelman theorem, enabling explicit matrix construction from given spectra.
Findings
Provides a constructive method for nonnegative matrix realization
Advances spectral theory for nonnegative matrices
Enables explicit matrix construction from spectra
Abstract
A constructive version of the celebrated Boyle-Handelman theorem on the non-zero spectra of nonnegative matrices is presented.
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Taxonomy
TopicsMatrix Theory and Algorithms · Mathematical Inequalities and Applications · Advanced Optimization Algorithms Research