Displaying similar documents to “Triangular stochastic matrices generated by infinitesimal elements”

On the cardinality of complex matrix scalings

George Hutchinson (2016)

Special Matrices

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We disprove a conjecture made by Rajesh Pereira and Joanna Boneng regarding the upper bound on the number of doubly quasi-stochastic scalings of an n × n positive definite matrix. In doing so, we arrive at the true upper bound for 3 × 3 real matrices, and demonstrate that there is no such bound when n ≥ 4.

A conjecture on minimum permanents

Gi-Sang Cheon, Seok-Zun Song (2024)

Czechoslovak Mathematical Journal

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We consider the permanent function on the faces of the polytope of certain doubly stochastic matrices, whose nonzero entries coincide with those of fully indecomposable square ( 0 , 1 ) -matrices containing the identity submatrix. We show that a conjecture in K. Pula, S. Z. Song, I. M. Wanless (2011), is true for some cases by determining the minimum permanent on some faces of the polytope of doubly stochastic matrices.