New inclusion sets for singular values

In this paper, for a given matrix [Formula: see text] , in terms of [Formula: see text] and [Formula: see text] , where [Formula: see text] , [Formula: see text] , some new inclusion sets for singular values of the matrix are established. It is proved that the new inclusion sets are tighter than the...

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Detalles Bibliográficos
Autores principales: He, Jun, Liu, Yan-Min, Tian, Jun-Kang, Ren, Ze-Rong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5360857/
https://www.ncbi.nlm.nih.gov/pubmed/28386164
http://dx.doi.org/10.1186/s13660-017-1337-8
Descripción
Sumario:In this paper, for a given matrix [Formula: see text] , in terms of [Formula: see text] and [Formula: see text] , where [Formula: see text] , [Formula: see text] , some new inclusion sets for singular values of the matrix are established. It is proved that the new inclusion sets are tighter than the Geršgorin-type sets (Qi in Linear Algebra Appl. 56:105-119, 1984) and the Brauer-type sets (Li in Comput. Math. Appl. 37:9-15, 1999). A numerical experiment shows the efficiency of our new results.

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