For which error criteria can we solve nonlinear equations?

DOI10.1016/0885-064X(86)90017-8zbMath0609.65035OpenAlexW2135596970MaRDI QIDQ1086984

B. George

Publication date: 1986

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0885-064x(86)90017-8

zbMATH Keywords

error criterionadaptive informationalmost optimal informationroot criterionworst performance

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Numerical computation of solutions to single equations (65H05)

Related Items (4)

Optimal solution of nonlinear equations ⋮ Can we approximate zeros of functions with nonzero topological degree? ⋮ Study of linear information for classes of polynomial equations ⋮ Can adaption help on the average?

Cites Work

• Optimal solution of nonlinear equations satisfying a Lipschitz condition
• Average case optimality
• Optimal solution of nonlinear equations
• Bisection is optimal
• The optimal recovery of smooth functions
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