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|Type:||Artigo de periódico|
|Title:||On the convergence of quasi-Newton methods for nonsmooth problems|
|Abstract:||We develop a theory of quasi-Newton and least-change update methods for solving systems of nonlinear equations F(x) = 0. In this theory, no differentiability conditions are necessary. Instead, we assume that F can be approximated, in a weak sense, by an affine function in a neighborhood of a solution. Using this assumption, we prove local and ideal convergence. Our theory can be applied to B-differentiable functions and to partially differentiable functions.|
|Editor:||Marcel Dekker Inc|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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