An update on Minc's survey of open problems involving permanents

Gi Sang Cheon, Ian M. Wanless*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

39 Citations (Scopus)

Abstract

The 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.

Original languageEnglish
Pages (from-to)314-342
Number of pages29
JournalLinear Algebra and Its Applications
Volume403
Issue number1-3
DOIs
Publication statusPublished - 1 Jul 2005
Externally publishedYes

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