Local convergence of Newton’s method in the classical calculus of variations

DOI10.1080/02331934.2013.811664zbMath1312.49032OpenAlexW2023631626MaRDI QIDQ5248214

Chang Liu, Mark S. Gockenbach

Publication date: 28 April 2015

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2013.811664

zbMATH Keywords

Newton's methodcalculus of variationslocal convergence

Mathematics Subject Classification ID

Newton-type methods (49M15) Optimality conditions for problems involving ordinary differential equations (49K15)

Cites Work

• A direct Newton method for calculus of variations
• An application of a Newton-like method to the Euler-Lagrange equation
• Uniform Convergence and Mesh Independence of Newton's Method for Discretized Variational Problems
• Conjugate Points Revisited and Neumann–Neumann Problems
• First and second order sufficient optimality conditions in mathematical programming and optimal control
• On methods for obtaining solutions of fixed end-point problems in the calculus of variations

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