Polytopes of majorization and g-majorization

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dc.authorid0000-0002-9756-5213en_US
dc.contributor.authorArmandnejad, Ali
dc.date.accessioned2024-07-12T20:51:24Z
dc.date.available2024-07-12T20:51:24Z
dc.date.issued2009en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractLet Mn and Mn,m be the vector spaces of all n × n and n × m matrices respectively with entries in the field of real numbers. A nonnegative (or not necessarily nonnegative) matrix R ? Mm is called row stochastic (or g-row stochastic) if Re = e where e = (1, ..., 1)t ? Mn,1 . For matrices A, B ? Mn,m , it is said that A is majorized (or g-majorized) by B from right if there exists a row stochastic (or g-row stochastic) matrix R ? Mm such that A = BR. The polytopes of majorization and g-majorization for given matrices A, B ? Mn,m denoted by P (A ? B) and P (A ?g B) respectively and defined as the following convex sets: P (A ? B) := {R : R is a row stochastic matrix and A = BR}, P (A ?g B) := {R : and R is a g-row stochastic matrix and A = BR}. In this paper, we investigate some properties of polytopes of majorization and g-majorization for some special types of matrices A, B ? Mn,m . Also we will find the dimension of the linear vector spaces generated by P (A ? B) or P (A ?g B)en_US
dc.identifier.citationArmandnejad, A. (2009). Polytopes of majorization and g-majorization. Maltepe Üniversitesi. s. 81.en_US
dc.identifier.endpage82en_US
dc.identifier.isbn9.78605E+12
dc.identifier.startpage81en_US
dc.identifier.urihttps://www.maltepe.edu.tr/Content/Media/CkEditor/03012019014112056-AbstractBookICMS2009Istanbul.pdf#page=76
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2411
dc.institutionauthorArmandnejad, Ali
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY07776
dc.titlePolytopes of majorization and g-majorizationen_US
dc.typeConference Object
dspace.entity.typePublication

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