A continuation procedure based on projected Newton steps

DOI10.1007/BF02243802zbMath0695.65039MaRDI QIDQ910160

Igor Moret

Publication date: 1989

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

numerical exampleNewton's methodHilbert spacecontinuation methodHammerstein integral equationsBanach spacefixed point equation

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (3)

Updated projections in continuation methods ⋮ A projection method for computing turning points of nonlinear equations ⋮ A quasi-Newton method for solving fixed point problems in Hilbert spaces

Cites Work

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• A quasi-Newton method for solving fixed point problems in Hilbert spaces
• One-parameter imbedding techniques for the solution of nonlinear boundary-value problems
• Numerical solution of nonlinear equations by one-parameter imbedding methods
• An Iterative Variant of the Degenerate Kernel Method for Solving Fredholm Integral Equations

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