Permanents of matrices of signed ones
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]
|Collections||ANU Research Publications|
|Source:||Linear and Multilinear Algebra|
|01_Wanless_Permanents_of_matrices_of_2005.pdf||114.08 kB||Adobe PDF||Request a copy|
Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.