Automatic Differentiation : Techniques and Applications

Numerical analysis
Imprint: Springer
1981
1st ed. 1981.
EISBN 3540387765
Formula translation.
Formula differentiation.
Generation of Taylor coefficients.
Examples of software for automatic differentiation and generation of Taylor coefficients.
Automatic computation of gradients, Jacobians, Hessians, and applications to optimization.
Automatic error analysis.
Solution of nonlinear systems of equations.
Numerical integration with regorous error estimation.
Additional notes of techniques, applications, and software.
Formula differentiation.
Generation of Taylor coefficients.
Examples of software for automatic differentiation and generation of Taylor coefficients.
Automatic computation of gradients, Jacobians, Hessians, and applications to optimization.
Automatic error analysis.
Solution of nonlinear systems of equations.
Numerical integration with regorous error estimation.
Additional notes of techniques, applications, and software.
