Total positivity: tests and parametrizations
Sergey Fomin, Andrei Zelevinsky
TL;DR
This paper introduces total positivity, focusing on efficient criteria and parametrizations of TP matrices, aimed at a general mathematical audience to facilitate understanding and application.
Contribution
It provides new efficient tests and parametrizations for total positivity in matrices, enhancing practical analysis tools.
Findings
Developed new criteria for testing total positivity
Provided parametrizations for TP matrices
Made the concepts accessible to a broad mathematical audience
Abstract
An introduction to total positivity (TP), with the emphasis on efficient TP criteria and parametrizations of TP matrices. Intended for general mathematical audience.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Mathematics and Applications · Advanced Mathematical Theories and Applications