EUDML | Constructing the maximal monoids in the semigroups $\mathcal {N}_n, \mathcal {S}_n$, and $\Omega _n$

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Displaying similar documents to “Constructing the maximal monoids in the semigroups $𝒩_{n}, 𝒮_{n}$ , and $Ω_{n}$ ”

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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.