Total positivity, Gramian matrices, and Schur polynomials

This paper investigated the total positivity of Gramian matrices associated with general bases of functions. It demonstrated that the total positivity of collocation matrices for totally positive bases extends to their Gramian matrices. Additionally, a bidiagonal decomposition of these Gramian matri...

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Bibliographic Details
Published in:AIMS mathematics Vol. 10; no. 2; pp. 2375 - 2391
Main Authors: Díaz, Pablo, Mainar, Esmeralda, Rubio, Beatriz
Format: Journal Article
Language:English
Published: AIMS Press 01.02.2025
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ISSN:2473-6988, 2473-6988
Online Access:Get full text
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