On a mesh-independence principle for operator equations and the secant method

DOI10.1007/BF00051753zbMath0782.47049MaRDI QIDQ1207346

Ioannis K. Argyros

Publication date: 1 April 1993

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

discretized equationsdiscretized secant iterations

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05)

Related Items (3)

Secant method with regularly continuous divided differences ⋮ Ulm's method without derivatives ⋮ A convergence theorem for Newton-like methods under generalized Chen- Yamamoto-type assumptions

Cites Work

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• A general mesh independence principle for Newton's method applied to second order boundary value problems
• On an iterative algorithm of order 1.839… for solving nonlinear operator equations^∗)
• A Mesh-Independence Principle for Operator Equations and Their Discretizations
• Periodic solutions of perturbed second-order autonomous equations

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