Integrable discretization and its applications

DOI10.1016/S0377-0427(99)00100-4zbMath0944.65037OpenAlexW2138456742MaRDI QIDQ1807793

Norimasa Shibutani

Publication date: 13 September 2000

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00100-4

zbMATH Keywords

algorithmseigenvaluenumerical examplesRayleigh quotientRunge-Kutta methodsEuler methodsymmetric matrixinverse iterationpower methodWilkinson's methodsystem of linear differential equations

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

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• On an integrable discretization of the Rayleigh quotient gradient system and the power method with a shift
• Jacobi algorithm for symmetric eigenvalue problem and integrable gradient system of Lax form

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