
MPI
 Referenced in 432 articles
[sw06496]
 Automatic differentiation through the use of hyperdual numbers for second derivatives. Automatic differentiation techniques...

INTOPT_90
 Referenced in 294 articles
[sw04705]
 interval arithmetic, solving linear interval equations, automatic differentiation and code list generation, interval Newton method ... generation of code lists and automatic differentiation. The chapter on preconditioning (32 pages) contains some...

INTLAB
 Referenced in 336 articles
[sw04004]
 complex sparse matrices (very fast) automatic differentiation (forward mode, vectorized computations, fast) Gradients (to solve ... global optimization) Taylor series for univariate functions automatic slopes (sequential approach, slow for many variables...

ADOLC
 Referenced in 203 articles
[sw00019]
 ADOLC: Automatic Differentiation of C/C++. We present two strategies for the implementation of Automatic...

Chebfun
 Referenced in 241 articles
[sw05897]
 decomposition and the SVD, and solves ordinary differential equations. The mathematical basis of the system ... transform, barycentric interpolation, recursive zerofinding, and automatic differentiation...

ADIFOR
 Referenced in 229 articles
[sw02185]
 ADIFOR is a tool for the automatic differentiation of Fortran 77 programs. Given a Fortran...

SifDec
 Referenced in 176 articles
[sw04087]
 generation of files suited to automatic differentiation packages...

Bertini
 Referenced in 166 articles
[sw06683]
 solutions by computing witness sets. Has automatic differentiation which preserves the straightline quality...

TAPENADE
 Referenced in 104 articles
[sw06598]
 TAPENADE is an Automatic Differentiation Engine developed at INRIA SophiaAntipolis by the TROPICS team...

ADIC
 Referenced in 75 articles
[sw03392]
 ADIC is a tool for the automatic differentiation (AD) of programs written in ANSI...

Odyssee
 Referenced in 32 articles
[sw12533]
 Automatic differentiation in Odyssée, This paper describes the design of Odyssée, a system for fortran ... programs manipulations and its application to automatic differentiation. The Odyssée system manipulates fortran programs ... usual drawback in the reverse automatic differentiation method is the storage requirement. The Odyssée system...

REDUCE
 Referenced in 699 articles
[sw00789]
 matching in a wide variety of forms; automatic and user controlled simplification of expressions; calculations ... functions and extending program syntax; analytic differentiation and integration; factorization of polynomials; facilities...

GlobSol
 Referenced in 35 articles
[sw06724]
 combines various ideas from interval analysis, automatic differentiation, and constraint propagation to provide verified solutions...

ADMIT
 Referenced in 21 articles
[sw02687]
 ADMIT1. Automatic differentiation and MATLAB interface toolbox. ADMIT1 enables the computation of sparse ... Jacobian and Hessian matrices, using automatic differentiation technology, from a MATLAB environment. Given a function ... differentiated, ADMIT1 will exploit sparsity if present to yield sparse derivative matrices ... sparse MATLAB form). A generic automatic differentiation tool, subject to some functionality requirements...

MAD
 Referenced in 24 articles
[sw12534]
 efficient overloaded implementation of forward mode automatic differentiation in MATLAB. The Mad package described here ... wellknown forward mode of automatic differentiation implemented via operator overloading on variables...

AceGen
 Referenced in 27 articles
[sw10821]
 symbolic and algebraic capabilities of Mathematica, automatic differentiation technique, automatic code generation and simultaneous optimization...

libMC
 Referenced in 32 articles
[sw06615]
 mode or the reverse mode of automatic differentiation. In the forward mode, with each elementary...

PCOMP
 Referenced in 19 articles
[sw00688]
 PCOMP: A Fortran code for automatic differentiation. Automatic differentiation is an interesting and important tool...

OpenAD/F
 Referenced in 18 articles
[sw09380]
 modular opensource tool for automatic differentiation of Fortran codes. The Open/ADF tool allows ... transformation follows the basic principles of automatic differentiation, the tool implements new algorithmic approaches ... call graph reversal. Unlike most other automatic differentiation tools, Open/ADF uses components provided...

UFL
 Referenced in 28 articles
[sw11183]
 language for representing weak formulations of partial differential equations with a view to numerical approximation ... support for variational forms and functionals, automatic differentiation of forms and expressions, arbitrary function space...