QuantLib
A free/open-source library for quantitative finance
Reference manual - version 1.8
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ConjugateGradient Class Reference

Multi-dimensional Conjugate Gradient class. More...

#include <ql/math/optimization/conjugategradient.hpp>

Inherits LineSearchBasedMethod.

Public Member Functions

 ConjugateGradient (const boost::shared_ptr< LineSearch > &lineSearch=boost::shared_ptr< LineSearch >())
 

Detailed Description

Multi-dimensional Conjugate Gradient class.

Fletcher-Reeves-Polak-Ribiere algorithm adapted from Numerical Recipes in C, 2nd edition.

User has to provide line-search method and optimization end criteria. Search direction \( d_i = - f'(x_i) + c_i*d_{i-1} \) where \( c_i = ||f'(x_i)||^2/||f'(x_{i-1})||^2 \) and \( d_1 = - f'(x_1) \)

This optimization method requires the knowledge of the gradient of the cost function.