ON A GENERALIZATION OF THE MAXIMUM ENTROPY THEOREM OF BURG

In this article we introduce some matrix manipulations that allow us to obtain a version of the original Christoffel-Darboux formula, which is of interest in many applications of linear algebra. Using these developments matrix and Jensen’s inequality, we obtain the main result of this proposal, whic...

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Bibliographic Details
Main Authors: JOSÉ MARCANO, SABA INFANTE, LUIS SÁNCHEZ
Format: Article
Language:English
Published: Universidad de Costa Rica 2017-01-01
Series:Revista de Matemática: Teoría y Aplicaciones
Subjects:
Online Access:https://revistas.ucr.ac.cr/index.php/matematica/article/view/27773
Description
Summary:In this article we introduce some matrix manipulations that allow us to obtain a version of the original Christoffel-Darboux formula, which is of interest in many applications of linear algebra. Using these developments matrix and Jensen’s inequality, we obtain the main result of this proposal, which is the generalization of the maximum entropy theorem of Burg for multivariate processes.
ISSN:2215-3373