Matrix Hermite-Padé problem and dynamical systems

DOI10.1016/S0377-0427(00)00354-XzbMath0984.37023MaRDI QIDQ1590788

Jeannette Van Iseghem, Vladimir N. Sorokin

Publication date: 1 May 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

KdV equationspectral measurematrix continued fractionHermité-Padé approximation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Nonlinear ordinary differential equations and systems (34A34) Padé approximation (41A21) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (6)

A study of resolvent set for a class of band operators with matrix elements ⋮ An inverse spectral problem for a special class of band matrices and Bogoyavlensky lattice ⋮ Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials ⋮ On the relation between the full Kostant-Toda lattice and multiple orthogonal polynomials ⋮ Dynamics and interpretation of some integrable systems via matrix orthogonal polynomials ⋮ Stieltjes continued fraction and QD algorithm: scalar, vector, and matrix cases

Cites Work

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• Three integrable Hamiltonian systems connected with isospectral deformations
• Completely integrable nonlinear dynamical systems of the Langmuir chains type
• Matrix continued fractions
• Algebraic aspects of matrix orthogonality for vector polynomials
• The genetic sums' representation for the moments of a system of Stieltjes functions and its application
• SOME CONSTRUCTIONS OF INTEGRABLE DYNAMICAL SYSTEMS
• THE JACOBI-PERRON ALGORITHM AND SIMULTANEOUS APPROXIMATION OF FUNCTIONS
• The interruption phenomenon for generalized continued fractions
• Finite-dimensional approximations of the resolvent of an infinite band matrix and continued fractions
• INTEGRABLE DYNAMICAL SYSTEMS ASSOCIATED WITH THE KdV EQUATION

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