Characterization of the Existence of an N (0)-Completion of a Partial N (0)-Matrix with an Associated Directed Cycle

An n × n matrix is called an N (0)-matrix if all its specified principal minors are nonpositive. In the context of partial matrices, a partial matrix is called a partial N (0)-matrix if all its specified principal minors are nonpositive. In this paper we characterize the existence of an N (0)-matrix...

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Detalles Bibliográficos
Autores principales: Jordán, Cristina, Torregrosa, Juan R.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3932638/
https://www.ncbi.nlm.nih.gov/pubmed/24688437
http://dx.doi.org/10.1155/2014/835017
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author Jordán, Cristina
Torregrosa, Juan R.
author_facet Jordán, Cristina
Torregrosa, Juan R.
author_sort Jordán, Cristina
collection PubMed
description An n × n matrix is called an N (0)-matrix if all its specified principal minors are nonpositive. In the context of partial matrices, a partial matrix is called a partial N (0)-matrix if all its specified principal minors are nonpositive. In this paper we characterize the existence of an N (0)-matrix completion of a partial N (0)-matrix whose associated graph is a directed cycle.
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spelling pubmed-39326382014-03-31 Characterization of the Existence of an N (0)-Completion of a Partial N (0)-Matrix with an Associated Directed Cycle Jordán, Cristina Torregrosa, Juan R. ScientificWorldJournal Research Article An n × n matrix is called an N (0)-matrix if all its specified principal minors are nonpositive. In the context of partial matrices, a partial matrix is called a partial N (0)-matrix if all its specified principal minors are nonpositive. In this paper we characterize the existence of an N (0)-matrix completion of a partial N (0)-matrix whose associated graph is a directed cycle. Hindawi Publishing Corporation 2014-02-04 /pmc/articles/PMC3932638/ /pubmed/24688437 http://dx.doi.org/10.1155/2014/835017 Text en Copyright © 2014 C. Jordán and J. R. Torregrosa. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Jordán, Cristina
Torregrosa, Juan R.
Characterization of the Existence of an N (0)-Completion of a Partial N (0)-Matrix with an Associated Directed Cycle
title Characterization of the Existence of an N (0)-Completion of a Partial N (0)-Matrix with an Associated Directed Cycle
title_full Characterization of the Existence of an N (0)-Completion of a Partial N (0)-Matrix with an Associated Directed Cycle
title_fullStr Characterization of the Existence of an N (0)-Completion of a Partial N (0)-Matrix with an Associated Directed Cycle
title_full_unstemmed Characterization of the Existence of an N (0)-Completion of a Partial N (0)-Matrix with an Associated Directed Cycle
title_short Characterization of the Existence of an N (0)-Completion of a Partial N (0)-Matrix with an Associated Directed Cycle
title_sort characterization of the existence of an n (0)-completion of a partial n (0)-matrix with an associated directed cycle
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3932638/
https://www.ncbi.nlm.nih.gov/pubmed/24688437
http://dx.doi.org/10.1155/2014/835017
work_keys_str_mv AT jordancristina characterizationoftheexistenceofann0completionofapartialn0matrixwithanassociateddirectedcycle
AT torregrosajuanr characterizationoftheexistenceofann0completionofapartialn0matrixwithanassociateddirectedcycle

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