Nonnegative generalized doubly stochastic matrices with prescribed elementary divisors

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dc.contributor.authorRicardo L. Soto
dc.contributor.authorElvis Valero
dc.contributor.authorMario Salas
dc.contributor.authorHans Nina
dc.coverage.spatialBolivia
dc.date.accessioned2026-03-22T15:56:47Z
dc.date.available2026-03-22T15:56:47Z
dc.date.issued2015
dc.descriptionCitaciones: 2
dc.description.abstractThis paper provides sufficient conditions for the existence of nonnegative generalized doubly stochastic matrices with prescribed elementary divisors. These results improve previous results and the constructive nature of their proofs allows for the computation of a solution matrix. In particular, this paper shows how to transform a generalized stochastic matrix into a nonnegative generalized doubly stochastic matrix, at the expense of increasing the Perron eigenvalue, but keeping other elementary divisors unchanged. Under certain restrictions, nonnegative generalized doubly stochastic matrices can be constructed, with spectrum \Lambda = {\lambda_1,\lambda_2 2, . . . , \lambda_n} for each Jordan canonical form associated with \Lambda
dc.identifier.doi10.13001/1081-3810.3168
dc.identifier.urihttps://doi.org/10.13001/1081-3810.3168
dc.identifier.urihttps://andeanlibrary.org/handle/123456789/55340
dc.language.isoen
dc.relation.ispartofElectronic Journal of Linear Algebra
dc.sourceUniversidad Católica del Norte
dc.subjectMathematics
dc.subjectLambda
dc.subjectConstructive
dc.subjectNonnegative matrix
dc.subjectEigenvalues and eigenvectors
dc.subjectMatrix (chemical analysis)
dc.subjectCanonical form
dc.subjectElementary proof
dc.subjectPure mathematics
dc.subjectCombinatorics
dc.titleNonnegative generalized doubly stochastic matrices with prescribed elementary divisors
dc.typearticle

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