Updated projections in continuation methods

DOI10.1080/01630569008816401zbMath0712.65050OpenAlexW2041134464MaRDI QIDQ3197215

Igor Moret

Publication date: 1990

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569008816401

zbMATH Keywords

iterative methodsprojection methodsparameter-dependent operator equationspredictor- corrector continuation methods

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (2)

Krylov-type methods for the computation of critical solutions of nonlinear equations ⋮ A method for the computation of nonsimple turning points corresponding to cusps

Cites Work

• Unnamed Item
• A quasi-Newton method for solving fixed point problems in Hilbert spaces
• A continuation procedure based on projected Newton steps
• A stepsize control for continuation methods and its special application to multiple shooting techniques
• Following paths through turning points
• Parametrization via secant length and application to path following
• The Local Convergence of Broyden-Like Methods on Lipschitzian Problems in Hilbert Spaces
• Higher Order Predictors and Adaptive Steplength Control in Path Following Algorithms
• Solution Fields of Nonlinear Equations and Continuation Methods
• On Steplength Algorithms for a Class of Continuation Methods
• An Iterative Variant of the Degenerate Kernel Method for Solving Fredholm Integral Equations

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