DSF chain for biorthogonal polynomials and its application to matrix eigenvalue problems
DOI10.1016/j.cam.2018.03.023zbMath1406.37055OpenAlexW2801499794MaRDI QIDQ1631438
Atsushi Mukaihira, Yoshimasa Tsuboi
Publication date: 6 December 2018
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2018.03.023
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Padé approximation (41A21) NLS equations (nonlinear Schrödinger equations) (35Q55) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
Cites Work
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- Geronimus spectral transforms and measures on the complex plane
- The QR algorithm and scattering for the finite nonperiodic Toda lattice
- On the polynomials orthogonal on regular polygons
- Linear algebra, rational approximation and orthogonal polynomials
- Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
- Discrete Darboux transformations, the discrete-time Toda lattice, and the Askey-Wilson polynomials
- Der Quotienten-Differenzen-Algorithmus
- Faces of Relativistic Toda Chain
- Determinant structure of non-autonomous Toda-type integrable systems
- Schur flows and orthogonal polynomials on the unit circle
- Nonlinear differential–difference equations and Fourier analysis
- Finitely many mass points on the line under the influence of an exponential potential -- an integrable system
- Orthogonal Polynomials and Rational Modifications of Measures
- Ablowitz Ladik hierarchy and two-component Toda lattice hierarchy
- Casorati and Discrete Gram Type Determinant Representations of Solutions to the Discrete KP Hierarchy
- Determinant structure ofRItype discrete integrable system
- Integrable discretization of the modified KdV equation and applications
- The discrete relativistic Toda molecule equation and a Padé approximation algorithm
- Schur flow for orthogonal polynomials on the unit circle and its integrable discretization
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