2 problems

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Unattainability of superlinear rates for Newton schemes with weak iterates
Let a Newton scheme use weak iterates, and consider its convergence rate under the setting described for the local-rate result. Unattainability conjecture. Superlinear rates are ge…
Conjectureopenconvergence-rates newton-methods optimizationarXiv posted 2 days ago
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Conjecture on transient behavior from nonequilibrated initial data
Consider the first time step of the numerical method applied to an elliptic initial configuration, with a hyperbolic-tangent profile used as initial data for the order parameter. T…
Conjecturesolvednewton-methods numerical-analysis phase-field-modelsarXiv posted 2 days ago

Unattainability of superlinear rates for Newton schemes with weak iterates