Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
Exploiting parallelism in automatic differentiation
ICS '91 Proceedings of the 5th international conference on Supercomputing
Algorithms and design for a second-order automatic differentiation module
ISSAC '97 Proceedings of the 1997 international symposium on Symbolic and algebraic computation
ADIC: an extensible automatic differentiation tool for ANSI-C
Software—Practice & Experience
Evaluating derivatives: principles and techniques of algorithmic differentiation
Evaluating derivatives: principles and techniques of algorithmic differentiation
Bringing together automatic differentiation and OpenMP
ICS '01 Proceedings of the 15th international conference on Supercomputing
Automatic differentiation of algorithms: from simulation to optimization
Automatic differentiation of algorithms: from simulation to optimization
Adifor 2.0: Automatic Differentiation of Fortran 77 Programs
IEEE Computational Science & Engineering
Explicit Loop Scheduling in OpenMP for Parallel Automatic Differentiation
HPCS '02 Proceedings of the 16th Annual International Symposium on High Performance Computing Systems and Applications
Automatic differentiation of parallel programs
Automatic differentiation of parallel programs
Sourcebook of parallel computing
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)
Automatic Differentiation: Applications, Theory, and Implementations (Lecture Notes in Computational Science and Engineering)
Future Generation Computer Systems
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Given a program to compute some function, automatic differentiation can be used to mechanically generate another program capable of evaluating first- and higher-order derivatives of that function. A new strategy for the computation of Hessians by automatic differentiation is proposed where the generated code is automatically parallelized using OpenMP. The approach is applied to compute second-order derivatives of an atmospheric reference model and performance results on a Sun Fire E6900 system are reported.