A direct Newton method for calculus of variations

DOI10.1016/S0377-0427(01)00427-7zbMath0997.65089WikidataQ126388857 ScholiaQ126388857MaRDI QIDQ1349148

Adi Ben-Israel, Mikhail Nediak, Yuri Levin

Publication date: 21 May 2002

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

zbMATH Keywords

convergenceapproximate solutionscalculus of variationsNewton methodMoore-Penrose inversestationary pointEuler-Lagrange equationdiscretized problem

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (1)

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

Cites Work

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• Numerical derivatives and nonlinear analysis
• Convergence of Newton-like methods for singular operator equations using outer inverses
• Case studies in trajectory optimization: trains, planes, and other pastimes
• A Newton method for systems of \(m\) equations in \(n\) variables.
• A Newton-Raphson method for the solution of systems of equations

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