An ultradiscrete matrix version of the fourth Painlevé equation.

Let A be an n×n irreducible nonnegative (elementwise) matrix. Borobia and Moro raised the following question: Suppose that every diagonal of A contains a positive entry. Is A similar to a positive matrix? We give an affirmative answer in the case n = 4.

Factorability of general symmetric matrices

Rufus Oldenburger (1940)

Compositio Mathematica

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On the General Problem of Adjustment of Measured Values

Lubomír Kubáček (1969)

Matematický časopis

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