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

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

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 , . . . , λ_n}, of certain structured nonnegative matrices with spectrum ? and with any legitimately prescribed elementary divisors.

Original language	English
Pages (from-to)	287-303
Number of pages	17
Journal	Electronic Journal of Linear Algebra
Volume	17
DOIs	https://doi.org/10.13001/1081-3810.1264
State	Published - Jun 2008
Externally published	Yes

Keywords

Inverse elementary divisor problem
Nonnegative matrices

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10.13001/1081-3810.1264

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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",

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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

Abstract

Keywords

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