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• W2040720108 abstract "We give a new class of convergence criteria for the classical Newton method for the equation f(x) = 0. We prove the global convergence, if the function f is the gradient of a uniformly convex function, while the convergence in the general case is still open. Our convergence condition consists of only one bound with a constant, which is shown to be sharp. We apply our result to a generic variational problem as well as to uniformly diagonally dominant Hessians. The convergence result is extended to the cases where the derivative is defined merely as a distribution." @default.
• W2040720108 created "2016-06-24" @default.
• W2040720108 creator A5050743219 @default.
• W2040720108 date "2004-03-01" @default.
• W2040720108 modified "2023-10-16" @default.
• W2040720108 title "On the convergence of the Newton iteration" @default.
• W2040720108 doi "https://doi.org/10.1002/zamm.200310105" @default.
• W2040720108 hasPublicationYear "2004" @default.
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