QuantLib
A free/open-source library for quantitative finance
Reference manual - version 1.20
Public Member Functions | List of all members
ConjugateGradient Class Reference

Multi-dimensional Conjugate Gradient class. More...

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

+ Inheritance diagram for ConjugateGradient:

Public Member Functions

 ConjugateGradient (const ext::shared_ptr< LineSearch > &lineSearch=ext::shared_ptr< LineSearch >())
 
- Public Member Functions inherited from LineSearchBasedMethod
 LineSearchBasedMethod (const ext::shared_ptr< LineSearch > &lSearch=ext::shared_ptr< LineSearch >())
 
virtual EndCriteria::Type minimize (Problem &P, const EndCriteria &endCriteria)
 minimize the optimization problem P
 

Additional Inherited Members

- Protected Attributes inherited from LineSearchBasedMethod
ext::shared_ptr< LineSearchlineSearch_
 line search
 

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.