Equisum matrices and their permanence

Davis, Philip J.; Najfeld, Igor

doi:10.1090/qam/1739042

Authors: Philip J. Davis and Igor Najfeld
Journal: Quart. Appl. Math. 58 (2000), 151-169
MSC: Primary 15A57; Secondary 15A23
DOI: https://doi.org/10.1090/qam/1739042
MathSciNet review: MR1739042
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Abstract: In a square equisum matrix, all row and column sums are equal. In a rectangular equisum matrix, the common row sum is a rational multiple of the common column sum. This paper explores properties of equisum matrices, in particular, the preservation of the equisum condition under a variety of linear, nonlinear and pattern-maintaining transformations. A principal tool employed is a representation via the Fourier matrix or the circulant projectors associated with it.

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