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 -