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An update on Mincs survey of open problems involving permanents

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dc.contributor.authorCheon, Gi-Sang
dc.contributor.authorWanless, Ian
dc.date.accessioned2015-12-13T22:59:07Z
dc.date.issued2005
dc.date.updated2015-12-12T07:26:41Z
dc.description.abstractThe progress made on the conjecture and open problems listed in H.Minc's survey articles on the theory of permanents, is discussed. A noteworthy feature of these surveys was a catalogue of conjectures and open problems which spurred advances in the field. The problems included finding an algorithm for the characteristic polynomial of the kth permanental compound of a given square matrix. The problems also included finding an algorithm for the perron root of the kth permanental compound of a given non-negative square matrix.
dc.identifier.issn0024-3795
dc.identifier.urihttp://hdl.handle.net/1885/83618
dc.publisherElsevier
dc.sourceLinear Algebra and its Applications
dc.subjectKeywords: Algorithms; Combinatorial mathematics; Matrix algebra; Random processes; Surveys; Theorem proving; Circulant; Doubly stochastic; Permanent; Permanental dominance conjecture; Positive semidefinite hermitian; Subpermanent sum; Problem solving Circulant; Doubly stochastic; Permanent; Permanental dominance conjecture; Positive semidefinite Hermitian; Subpermanent sum
dc.titleAn update on Mincs survey of open problems involving permanents
dc.typeJournal article
local.bibliographicCitation.lastpage342
local.bibliographicCitation.startpage314
local.contributor.affiliationCheon, Gi-Sang, College of Engineering and Computer Science, ANU
local.contributor.affiliationWanless, Ian, College of Engineering and Computer Science, ANU
local.contributor.authoruidCheon, Gi-Sang, t210
local.contributor.authoruidWanless, Ian, u3488323
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor010399 - Numerical and Computational Mathematics not elsewhere classified
local.identifier.ariespublicationMigratedxPub11902
local.identifier.citationvolume403
local.identifier.doi10.1016/j.laa.2005.02.030
local.identifier.scopusID2-s2.0-18844367229
local.type.statusPublished Version

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