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
Descripción
Sumario: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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