Fast Evaluation of Partial Derivatives and Interval Slopes

Autor: Bliek, Christian
Přispěvatelé: European Commission
Rok vydání: 1997
Zdroj: Digital.CSIC. Repositorio Institucional del CSIC
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Popis: For functions that share intermediate results, the computation of partial derivatives can be modeled by node condensation on graphs. In this case, mixed evaluation strategies can outperform either the backward or the forward mode of automatic differentiation. In this paper we present new algorithms and heuristics to find good evaluation strategies for partial derivatives. We show that these techniques not only apply for interval derivatives but also for interval slopes.
This paper is based on research work that was originally presented in [3] and performed under the contracts N00014-87-K-0462, N00014-89-J-1187 and N00014-91-J-1014 of the Office of Naval Research. The author is currently supported by the ERCIM Fellowship Programme, financed by the European Commission.
Databáze: OpenAIRE