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Algorithmic characterization of pentadiagonal ASSR matrices

Autor(es) y otros:
Alonso Velázquez, PedroAutoridad Uniovi; Peña Ferrández, Juan Manuel; Serrano Ortega, María LuisaAutoridad Uniovi
Palabra(s) clave:

Pentadiagonal matrices

almost strictly sign regular matrices

Algorithmic characterization

Fecha de publicación:
2020-01
Editorial:

Taylor & Francis

Versión del editor:
http://dx.doi.org/10.1080/00207160.2019.1642470
Citación:
International Journal of Computer Mathematics, 97(1-2), p. 431-443 (2019); doi:10.1080/00207160.2019.1642470
Descripción física:
p. 431-443
Resumen:

Amatrix is sign regular if all its minors of the same order are of the same sign. A very important subclass of sign regular matrices is formed by those matrices whose non-trivial minors are non-zero. These matrices are called almost strictly sign regular matrices. In this work, an algorithmic characterization of pentadiagonal almost strictly sign regular matrices is presented.

Amatrix is sign regular if all its minors of the same order are of the same sign. A very important subclass of sign regular matrices is formed by those matrices whose non-trivial minors are non-zero. These matrices are called almost strictly sign regular matrices. In this work, an algorithmic characterization of pentadiagonal almost strictly sign regular matrices is presented.

URI:
http://hdl.handle.net/10651/53590
DOI:
10.1080/00207160.2019.1642470
Patrocinado por:

This work has been partially supported by the Spanish Research Grant PGC2018-096321-B-100, TIN2017-87600-P and MTM2017-90682-REDT.

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