Nonnegative matrices with prescribed elementary divisors

Ricardo L. Soto; Javier Ccapa

doi:10.13001/1081-3810.1264

Nonnegative matrices with prescribed elementary divisors

Ricardo L. Soto
, Javier Ccapa

Departamento de Matemáticas
Universidad Católica del Norte

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

27 Citas (Scopus)

Resumen

The inverse elementary divisor problem for nonnegative matrices asks for necessary and sufficient conditions for the existence of a nonnegative matrix with prescribed elementary divisors. In this work a Brauer type perturbation result is introduced. This result allows the construction, from a given a list of real or complex numbers Λ = {λ₁ , . . . , λ_n}, of certain structured nonnegative matrices with spectrum ? and with any legitimately prescribed elementary divisors.

Idioma original	Inglés
Páginas (desde-hasta)	287-303
Número de páginas	17
Publicación	Electronic Journal of Linear Algebra
Volumen	17
DOI	https://doi.org/10.13001/1081-3810.1264
Estado	Publicada - jun 2008
Publicado de forma externa	Sí

Acceder al documento

10.13001/1081-3810.1264

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@article{b6891ec9541b40dfb63937e51ab66cc1,

title = "Nonnegative matrices with prescribed elementary divisors",

abstract = "The inverse elementary divisor problem for nonnegative matrices asks for necessary and sufficient conditions for the existence of a nonnegative matrix with prescribed elementary divisors. In this work a Brauer type perturbation result is introduced. This result allows the construction, from a given a list of real or complex numbers Λ = \{λ1 , . . . , λn\}, of certain structured nonnegative matrices with spectrum ? and with any legitimately prescribed elementary divisors.",

keywords = "Inverse elementary divisor problem, Nonnegative matrices",

author = "Soto, \{Ricardo L.\} and Javier Ccapa",

year = "2008",

month = jun,

doi = "10.13001/1081-3810.1264",

language = "English",

volume = "17",

pages = "287--303",

journal = "Electronic Journal of Linear Algebra",

issn = "1537-9582",

}

TY - JOUR

T1 - Nonnegative matrices with prescribed elementary divisors

AU - Soto, Ricardo L.

AU - Ccapa, Javier

PY - 2008/6

Y1 - 2008/6

N2 - The inverse elementary divisor problem for nonnegative matrices asks for necessary and sufficient conditions for the existence of a nonnegative matrix with prescribed elementary divisors. In this work a Brauer type perturbation result is introduced. This result allows the construction, from a given a list of real or complex numbers Λ = {λ1 , . . . , λn}, of certain structured nonnegative matrices with spectrum ? and with any legitimately prescribed elementary divisors.

AB - The inverse elementary divisor problem for nonnegative matrices asks for necessary and sufficient conditions for the existence of a nonnegative matrix with prescribed elementary divisors. In this work a Brauer type perturbation result is introduced. This result allows the construction, from a given a list of real or complex numbers Λ = {λ1 , . . . , λn}, of certain structured nonnegative matrices with spectrum ? and with any legitimately prescribed elementary divisors.

KW - Inverse elementary divisor problem

KW - Nonnegative matrices

UR - https://www.scopus.com/pages/publications/45849100217

U2 - 10.13001/1081-3810.1264

DO - 10.13001/1081-3810.1264

M3 - Article

AN - SCOPUS:45849100217

SN - 1537-9582

VL - 17

SP - 287

EP - 303

JO - Electronic Journal of Linear Algebra

JF - Electronic Journal of Linear Algebra

ER -

Nonnegative matrices with prescribed elementary divisors

Resumen

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto