A generalization of Alternating Sign Matrices
classification
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keywords
matricessignalternatingcolumnentryexistfirstgeneralization
read the original abstract
In alternating sign matrices the first and last nonzero entry in each row and column is specified to be +1. Such matrices always exist. We investigate a generalization by specifying independently the sign of the first and last nonzero entry in each row and column to be either a +1 or a -1. We determine necessary and sufficient conditions for such matrices to exist.
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