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A short proof of the Dennis-Schnabel theorem
ArticleAbstract: It is shown on the basis of simple orthogonality relations that all least change secant updates undePalabras claves:Autores:Andreas GriewankFuentes:scopusAutomatic differentiation of advanced CFD codes for multidisciplinary design
ArticleAbstract: Automated multidisciplinary design of aircraft and other flight vehicles requires the optimization oPalabras claves:Autores:Andreas Griewank, Bischof C., Corliss G.F., Green L., Haigler K., Newman P.Fuentes:scopusFrom the product example to PDE adjoints, algorithmic differentiation and its application (Invited talk)
Conference ObjectAbstract: At the last conference on algorithmic or automatic differentiation (AD) in July 2012, Bert SpeelpennPalabras claves:Autores:Andreas GriewankFuentes:scopusGeneric aspects of convexification with applications to thermodynamic equilibrium
ArticleAbstract: This work presents a mathematical analysis of the process of convexification of a smooth function baPalabras claves:Autores:Andreas Griewank, Rabier P.Fuentes:scopusIndex determination in DAEs using the library indexdet and the ADOL-C package for algorithmic differentiation
Conference ObjectAbstract: We deal with differential algebraic equations (DAEs) with properly stated leading terms. The calculaPalabras claves:ADOL-C, Differential algebraic equations, Tractability indexAutores:Andreas Griewank, Lamour R., Monett D.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:scopusNumerical optimization at the center for research on parallel computation
ArticleAbstract:Palabras claves:Autores:Andreas Griewank, Averick B., Bischof C., Bixby B., Carle A., Dennis J., Ei-Bakry A., El-Alem M., Johnson G., Lewis R., Moré J., Tapia R., Torczon V., Williamson K.Fuentes:scopusOn stable piecewise linearization and generalized algorithmic differentiation
ArticleAbstract: It is shown how functions that are defined by evaluation programs involving the absolute value functPalabras claves:ADOL-C, Automatic differentiation, Bouligand derivative, bundle methods, coherent orientation, computational graph, conical activity, directional derivative, generalized gradients and Jacobians, Lipschitz continuity, midpoint method, piecewise differentiability, piecewise Newton, trapezoidal ruleAutores:Andreas GriewankFuentes:scopusOn the efficient generation of taylor expansions for DAE solutions by automatic differentiation
Conference ObjectAbstract: Under certain conditions the signature method suggested by Pantiledes and Pryce facilitates the locaPalabras claves:Autores:Andreas Griewank, Walther A.Fuentes:scopusOn the existence of convex decompositions of partially separable functions
ArticleAbstract: The concept of a partially separable function f developed in [4] is generalized to include all functPalabras claves:65F99, 65K05, 90C30, decomposition, Optimization, partial separability, Perfect Elimination, Positive Definite Matrices, sparsityAutores:Andreas Griewank, Toint P.Fuentes:scopus