Displaying similar documents to “On an approach to complex analysis via differintegrations”

A classical decision theoretic perspective on worst-case analysis

Moshe Sniedovich (2011)

Applications of Mathematics

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We examine worst-case analysis from the standpoint of classical Decision Theory. We elucidate how this analysis is expressed in the framework of Wald's famous Maximin paradigm for decision-making under strict uncertainty. We illustrate the subtlety required in modeling this paradigm by showing that information-gap's robustness model is in fact a Maximin model in disguise.

Automatic differentiation platform : design

Christèle Faure (2002)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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Automatic differentiation (AD) has proven its interest in many fields of applied mathematics, but it is still not widely used. Furthermore, existing numerical methods have been developed under the hypotheses that computing program derivatives is not affordable for real size problems. Exact derivatives have therefore been avoided, or replaced by approximations computed by divided differences. The hypotheses is no longer true due to the maturity of AD added to the quick evolution of machine...

Production planning in data envelopment analysis without explicit inputs

Alireza Amirteimoori, Behrooz Daneshian, Sohrab Kordrostami, Kambiz Shahroodi (2013)

RAIRO - Operations Research - Recherche Opérationnelle

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In the performance measurement using tools such as data envelopment analysis (DEA), data without explicit inputs has attracted considerable attention among researchers. In such studies the problem of production planning in the next production season is an important and interesting subject. Because of the uncertain nature of the future, decision makers need to provide robust procedures in order to examine alternative courses of action and their implications. The purpose of this paper...

Efficient calculation of sensitivities for optimization problems

Andreas Kowarz, Andrea Walther (2007)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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Sensitivity information is required by numerous applications such as, for example, optimization algorithms, parameter estimations or real time control. Sensitivities can be computed with working accuracy using the forward mode of automatic differentiation (AD). ADOL-C is an AD-tool for programs written in C or C++. Originally, when applying ADOL-C, tapes for values, operations and locations are written during the function evaluation to generate an internal function...