Automatic differentiation: Parallel computation of function, gradient, and Hessian matrix

Author:

Fischer Herbert

Publisher

Elsevier BV

Subject

Artificial Intelligence,Computer Graphics and Computer-Aided Design,Computer Networks and Communications,Hardware and Architecture,Theoretical Computer Science,Software

Reference10 articles.

1. Computational implementation of the multivariate Halley method for solving nonlinear systems of equations;Cuyt;ACM Trans. Math. Software,1985

2. Automatic differentiation: How to compute the Hessian matrix;Fischer,1987

3. H. Fischer, Fast method to compute the scalar product of gradient and given vector, Computing, to appear.

4. Some aspects of automatic differentiation;Fischer,1988

5. Automatic differentiation: Fast method to compute φ″(u)vv for given vector-valued φ and given u, v;Fischer,1987

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1. Exploiting Sparsity in Automatic Differentiation on Multicore Architectures;Lecture Notes in Computational Science and Engineering;2012

2. Automatic Generation of Parallel Code for Hessian Computations;OpenMP Shared Memory Parallel Programming;2008

3. A parallel automatic differentiation algorithm for simulation models;Simulation Practice and Theory;1997-03

4. Automatic Differentiation: The Key Idea and an Illustrative Example;Applied Mathematics and Parallel Computing;1996

5. A Stochastic Method for Constrained Global Optimization;SIAM Journal on Optimization;1994-11

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