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Permanents of matrices of signed ones

Wanless, Ian

Description

By calculating the permanents for all Hadamard matrices of orders up to and including 28 we answer a problem posed by E.T.H. Wang and a similar question asked by H. Perfect. Both questions are answered by the existence of Hadamard matrices of order 20 which do not seem to be simply related but nevertheless have the same permanent. For orders up to and including 20 we also settle several other existence questions involving permanents of (+1, -1)-matrices. Specifically, we establish the lowest...[Show more]

CollectionsANU Research Publications
Date published: 2005
Type: Journal article
URI: http://hdl.handle.net/1885/83642
Source: Linear and Multilinear Algebra
DOI: 10.1080/03081080500093990

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