In this paper, Geronimus transformations for matrix orthogonal polynomials in the real line
are studied. The orthogonality is understood in a broad sense, and is given in terms of a …

We show that the Wynn recurrence (the missing identity of Frobenius of the Padé
approximation theory) can be incorporated into the theory of integrable systems as a …

Multivariate orthogonal polynomials in D real dimensions are considered from the
perspective of the Cholesky factorization of a moment matrix. The approach allows for the …

Matrix Painlevé II equations | Theoretical and Mathematical Physics Skip to main content
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Abstract Using the Painlevé–Kovalevskaya test, we find several polynomial matrix systems,
which can be regarded as non-commutative generalisations of the Painlevé-4 equation. For …

All Painlevé equations can be written as a time-dependent Hamiltonian system, and as such
they admit a natural generalization to the case of several particles with an interaction of …

A fully noncommutative analog of the Painlevé IV equation and a structure of its solutions -
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We construct the N-fold standard binary Darboux transformation (bDT) for the coupled
Gerdjikov–Ivanov (cGI) equation. Then, using the bDT presented in this article, we explicitly …

A connection between matrix orthogonal polynomials and non-abelian integrable lattices is
investigated in this paper. The normalization factors of matrix orthogonal polynomials …

On classification of non-abelian Painlevé type systems - ScienceDirect Skip to main contentSkip
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