A Computational Ball Test for the Existence of Solutions to Nonlinear Operator Equations

DOI10.1137/0726014zbMath0673.65030OpenAlexW2091774841MaRDI QIDQ3827479

Zong Ben Xu

Publication date: 1989

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0726014

zbMATH Keywords

numerical exampleHilbert spaceinterval Newton methodregion contraction algorithmnonlinear strongly monotone operator equationsball Newton methodcomputational ball testgeometric estimation method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (5)

A globally convergent ball Stirling method ⋮ An optimal ball algorithm for fixed point equations ⋮ The optimal ball algorithm for nonlinear equations of quasi-strongly monotone operators ⋮ Ball algorithms for constructing solutions of nonlinear operator equations ⋮ A comparison of point and ball iterations in the contractive mapping case

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