Show simple item record

dc.contributor.supervisorKopotun, Kirill (Mathematics)en_US
dc.contributor.authorMelnykova, Kateryna
dc.date.accessioned2012-09-20T15:27:45Z
dc.date.available2012-09-20T15:27:45Z
dc.date.issued2012-09-20
dc.identifier.urihttp://hdl.handle.net/1993/8893
dc.description.abstractThis thesis is devoted to investigation of some properties of the permanent function over the set Omega_n of n-by-n doubly stochastic matrices. It contains some basic properties as well as some partial progress on Foregger's conjecture. CONJECTURE[Foregger] For every n\in N, there exists k=k(n)>1 such that, for every matrix A\in Omega_n, per(A^k)<=per(A). In this thesis the author proves the following result. THEOREM For every c>0, n\in N, for all sufficiently large k=k(n,c), for all A\in\Omega_n which minimum nonzero entry exceeds c, per(A^k)<=per(A). This theorem implies that for every A\in\Omega_n, there exists k=k(n,A)>1 such that per(A^k)<=per(A).en_US
dc.language.isoengen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectpermanenten_US
dc.subjectlinear algebraen_US
dc.subjectdoubly stochastic matrixen_US
dc.titleNotes on Foregger's conjectureen_US
dc.typeinfo:eu-repo/semantics/masterThesis
dc.typemaster thesisen_US
dc.degree.disciplineMathematicsen_US
dc.contributor.examiningcommitteeGunderson, David (Mathematics) Brewster, John (Statistics)en_US
dc.degree.levelMaster of Science (M.Sc.)en_US
dc.description.noteOctober 2012en_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record