A new integrable convergence acceleration algorithm for computing Brezinski-Durbin-Redivo-Zaglia's sequence transformation via Pfaffians
From MaRDI portal
Publication:1751059
DOI10.1007/s11075-017-0368-zzbMath1391.65004OpenAlexW2724346776MaRDI QIDQ1751059
Xing-Biao Hu, Xiang-Ke Chang, Shi-Hao Li, Yi He
Publication date: 23 May 2018
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-017-0368-z
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Extrapolation to the limit, deferred corrections (65B05)
Related Items
Partial-skew-orthogonal polynomials and related integrable lattices with Pfaffian tau-functions, Generalizations of Shanks transformation and corresponding convergence acceleration algorithms via Pfaffians, Generalized discrete Lotka-Volterra equation, orthogonal polynomials and generalized epsilon algorithm, Integrability and geometry of the Wynn recurrence, Hermite-Padé approximation and integrability, The genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methods, Construction of new generalizations of Wynn's epsilon and rho algorithm by solving finite difference equations in the transformation order, The partition function of the Bures ensemble as theτ-function of BKP and DKP hierarchies: continuous and discrete
Cites Work
- Discrete spectral transformations of skew orthogonal polynomials and associated discrete integrable systems
- A generalization of the \(G\)-transformation and the related algorithms
- Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir, and Cayley
- The QR algorithm and scattering for the finite nonperiodic Toda lattice
- Sequence transformations and their applications
- A general extrapolation algorithm
- Extrapolation methods theory and practice
- Extrapolation algorithms and Padé approximations: A historical survey
- Discrete soliton equations and convergence acceleration algorithms
- Integrable lattices and convergence acceleration algorithms
- Generalizations of aitken's process for accelerating the convergence of sequences
- Shanks function transformations in a vector space
- An extended multistep Shanks transformation and convergence acceleration algorithm with their convergence and stability analysis
- Der Quotienten-Differenzen-Algorithmus
- The discrete Lotka-Volterra system computes singular values
- Multistep $𝜖$–algorithm, Shanks’ transformation, and the Lotka–Volterra system by Hirota’s method
- Convergence Acceleration Algorithm via an Equation Related to the Lattice Boussinesq Equation
- Confluent Form of the Multistep ɛ-Algorithm, and the Relevant Integrable System
- Cross rules and non-Abelian lattice equations for the discrete and confluent non-scalar ε-algorithms
- A q-difference version of the ϵ-algorithm
- An Algorithm for a Generalization of the Richardson Extrapolation Process
- Euler Subdues a Very Obstreperous Series
- Calculating Laplace Transforms in Terms of the Toda Molecule
- The Toda molecule equation and the 𝜖-algorithm
- A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms
- On the convergence of a solution of the discrete Lotka Volterra system
- An application of the discrete Lotka–Volterra system with variable step-size to singular value computation
- Q-difference and confluent forms of the lattice Boussinesq equation and the relevant convergence acceleration algorithms
- An Algorithm for the Computation of the Higher OrderG-Transformation
- On a Device for Computing the e m (S n ) Transformation
- Convergence acceleration during the 20th century
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
