Displaying similar documents to “An ultradiscrete matrix version of the fourth Painlevé equation.”

On a nonnegative irreducible matrix that is similar to a positive matrix

Raphael Loewy (2012)

Open Mathematics

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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.

On factorization method

Jiří Taufer (1966)

Aplikace matematiky

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In this paper the method of factorization for boundary value problems of system of differential equations is generalized. The method described is successful providiny that the problem has a unique solution. Further the question of influence of errors resulting from numerical realization of the method on the solution is dealt with in the article.