On groups of non-negative matrices
Peter Flor (1969)
Compositio Mathematica
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Peter Flor (1969)
Compositio Mathematica
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Štefan Schwarz (1968)
Matematický časopis
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Štefan Schwarz (1967)
Matematický časopis
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James R. Wall (1975)
Czechoslovak Mathematical Journal
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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.