TL;DR
This paper provides a new characterization of positive operators on finite-dimensional complex vector spaces using the Routh-Hurwitz Criterion, linking operator positivity to classical stability analysis methods.
Contribution
It introduces a novel approach to identify positive operators through the application of the Routh-Hurwitz Criterion, bridging operator theory and control theory techniques.
Findings
Positive operators can be characterized using stability criteria.
The Routh-Hurwitz Criterion applies to finite-dimensional operators.
New criteria simplify the identification of positive operators.
Abstract
A characterization of positive operators on finite dimensional complex vector spaces based on the Routh-Hurwitz Criterion.
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