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2010

Newton's method for generalized equations: a sequential implicit function theorem

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Newton's method for generalized equations: a sequential implicit function theorem
In the extension of Newton’s method to generalized equations, applying to variational inequalities as a special case, convergence analysis relates to a corresponding implicit function theorem, describes how solutions may depend on a parameter. In this paper the implicit function paradigm is carried further and placed in the framework of a mapping from the parameter to sequence of iterates as elements of a sequence space, Key Words. Newton’s method, generalized equations, variational inequalities, strong regularity, implicit function theorems, inverse function theorems, perturbations, variational analysis.
Asen L. Dontchev, R. Tyrrell Rockafellar
Added 29 Jan 2011
Updated 29 Jan 2011
Type Journal
Year 2010
Where MP
Authors Asen L. Dontchev, R. Tyrrell Rockafellar
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