On the characterization of almost strictly totally positive matrices
type: Item
instance of: scholarly article
title: On the characterization of almost strictly totally positive matrices
zbMATH Open document ID: 0837.15018
DOI: 10.1007/BF02432001
author: J. M. Peña
author: M. Gasca
published in: Advances in Computational Mathematics
publication date: 1995-10-09T00:00:00Z
review text: An algorithmic characterization of almost strictly totally positive matrices by Neville elimination is given. Moreover, a determinantal characterization of them is proved in terms of the positivity of a very reduced number of their minors and also in terms of their factorizations.
Mathematics Subject Classification ID: 15B48
zbMATH DE Number: 803475
zbMATH Keywords: algorithmic characterization
zbMATH Keywords: almost strictly totally positive matrices
zbMATH Keywords: Neville elimination
zbMATH Keywords: determinantal characterization
zbMATH Keywords: factorizations
reviewed by: Costică Moroşanu
MaRDI profile type: Publication
cites work: Totally positive matrices
cites work: Shape preserving representations and optimality of the Bernstein basis
cites work: Least supported bases and local linear independence
cites work: Spaces with Almost Strictly Totally Positive Bases
cites work: The approximation of a totally positive band matrix by a strictly banded totally positive one
cites work: The LU-factorization of totally positive matrices
cites work: Almost strictly totally positive matrices
cites work: Total positivity and Neville elimination
cites work: Total Positivity, $QR$ Factorization, and Neville Elimination
cites work: A matricial description of Neville elimination with applications to total positivity
cites work: Q4324650
cites work: Corner cutting algorithms for the Bézier representation of free form curves
cites work: Q5624248
cites work: A Hurwitz Matrix is Totally Positive
description: scientific article; zbMATH DE number 803475