A modified secant method for semismooth equations

DOI10.1016/S0893-9659(03)90011-5zbMath1059.65042OpenAlexW2062008013MaRDI QIDQ1431832

Sergio Amat, Sonia Busquier

Publication date: 11 June 2004

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(03)90011-5

zbMATH Keywords

convergencenumerical examplessecant methodsemismooth functions

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items (14)

Convergence analysis of the secant type methods ⋮ A two-step SOR-Newton method for nonsmooth equations ⋮ Smoothing SQP algorithm for semismooth equations with box constraints ⋮ A two-step Steffensen's method under modified convergence conditions ⋮ On the local convergence of secant-type methods ⋮ A Kantorovich-type analysis for a fast iterative method for solving nonlinear equations ⋮ Computing multiple zeros by using a parameter in Newton-secant method ⋮ On the Convergence of Secant-Like Methods ⋮ Unnamed Item ⋮ Expanding the applicability of a third order Newton-type method free of bilinear operators ⋮ A Steffensen's type method in Banach spaces with applications on boundary-value problems ⋮ On a Steffensen's type method and its behavior for semismooth equations ⋮ On a new class parametrized Newton-like method for semismooth equations ⋮ On a third-order Newton-type method free of bilinear operators

Cites Work

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• On Q-order and R-order of convergence
• Secant methods for semismooth equations
• A nonsmooth version of Newton's method
• Nonsmooth Equations: Motivation and Algorithms
• Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations

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