A model trust-region modification of Newton's method for nonlinear two- point boundary-value problems

DOI10.1007/BF00941469zbMath0795.49022OpenAlexW1996296943MaRDI QIDQ1321258

Edward J. Dean

Publication date: 20 September 1994

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00941469

zbMATH Keywords

Newton's methodquasilinearizationnonlinear differential operatornonlinear two-point boundary-value problemstrust-region approach

Mathematics Subject Classification ID

Newton-type methods (49M15) Numerical methods based on nonlinear programming (49M37)

Uses Software

• GQTPAR

Cites Work

• Two new unconstrained optimization algorithms which use function and gradient values
• General technique for solving nonlinear, two-point boundary-value problems via the method of particular solutions
• Modified quasilinearization method for solving nonlinear, two-point boundary-value problems
• Computing a Trust Region Step
• A Family of Trust-Region-Based Algorithms for Unconstrained Minimization with Strong Global Convergence Properties
• Computing Optimal Locally Constrained Steps
• Newton’s Method with a Model Trust Region Modification
• Computational Solution of Linear Two-Point Boundary Value Problems via Orthonormalization
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