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
Main Authors: Pablo Díaz, Esmeralda Mainar, Beatriz Rubio
Format: Article
Language:English
Published: AIMS Press 2025-02-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025110
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