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Characterizing and testing subdifferential regularity in piecewise smooth optimization
ArticleAbstract: Functions defined by evaluation programs involving smooth elementals and absolute values as well asPalabras claves:abs-normal form, Clarke generalized gradient, First-order-convexity, Linear independence kink qualification, Mangasarin–Fromovitz kink qualification, Mordukhovich subdifferential, Subdifferential regularityAutores:Andreas Griewank, Walther A.Fuentes:scopusEvaluating higher derivative tensors by forward propagation of univariate Taylor series
ReviewAbstract: This article considers the problem of evaluating all pure and mixed partial derivatives of some vectPalabras claves:Computational differentiation, Higher order derivativesAutores:Andreas Griewank, Utke J., Walther A.Fuentes:scopusNonsmooth optimization by successive abs-linearization in function spaces
ArticleAbstract: We present and analyze the solution of nonsmooth optimization problems by a quadratic overestimationPalabras claves:Abs-linearization, first-order minimality, Jen-Chih Yao, quadratic overestimation methodAutores:Andreas Griewank, Schmidt S., Walther A., Weiß O.Fuentes:scopusPolyhedral DC decomposition and DCA optimization of piecewise linear functions
ArticleAbstract: For piecewise linear functions f: Rn→R we show how their abs-linear representation can be extended tPalabras claves:Abs-linearization, DC function, DCAAutores:Andreas Griewank, Walther A.Fuentes:scopus