Numerical continuation method for nonlinear system of scalar and functional equations

DOI10.1134/S0965542520030112zbMath1452.65092OpenAlexW3025108745MaRDI QIDQ2207517

G. V. Paradezhenko, B. I. Reser, N. B. Mel'nikov

Publication date: 23 October 2020

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542520030112

zbMATH Keywords

nonlinear systemsnumerical continuationGauss-Seidel methodspin fluctuationstemperature dependencemagnetic characteristics

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Uses Software

• BOBYQA
• SDBOX
• MultiMin
• DFBOX_IMPR

Cites Work

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• Derivative-free optimization: a review of algorithms and comparison of software implementations
• Elliptic Preconditioner for Accelerating the Self-Consistent Field Iteration in Kohn--Sham Density Functional Theory
• Spin-fluctuation theory beyond Gaussian approximation
• Condition Estimates for Pseudo‐Arclength Continuation
• A Simplex Method for Function Minimization
• A derivative-free algorithm for bound constrained optimization
• Anderson acceleration method of finding steady-state particle size distribution for a wide class of aggregation-fragmentation models

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