The optimal ball algorithm for nonlinear equations of quasi-strongly monotone operators

DOI10.1080/00207169508804414zbMath0855.65058OpenAlexW2121889185MaRDI QIDQ4876367

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Publication date: 23 June 1996

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169508804414

zbMATH Keywords

numerical examplesHilbert spacesregion contraction algorithmgeometric estimatorball algorithmnonlinear quasi-strongly monotone operator

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

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• A ball Newton point algorithm for bounding zeros of analytic functions
• Bounds on nonlinear operators in finite-dimensional Banach spaces
• Ball algorithms for constructing solutions of nonlinear operator equations
• A comparison of point and ball iterations in the contractive mapping case
• A necessary and sufficient condition for convergence of steepest descent approximation to accretive operator equations
• Geometric estimation of fixed points of Lipschitzian mappings. II
• A Computational Ball Test for the Existence of Solutions to Nonlinear Operator Equations
• Global iteration schemes for monotone operators
• Monotone Operators and the Proximal Point Algorithm
• An optimal ball algorithm for fixed point equations
• The iterative solution of the equation $y \in x + Tx$ for a monotone operator $T$ in Hilbert space

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