Line Search. More...
#include <itpp/optim/newton_search.h>
Public Member Functions | |
Line_Search () | |
Default constructor. | |
~Line_Search () | |
Destructor. | |
void | set_function (double(*function)(const vec &)) |
Set function pointer. | |
void | set_gradient (vec(*gradient)(const vec &)) |
Set gradient function pointer. | |
void | set_functions (double(*function)(const vec &), vec(*gradient)(const vec &)) |
Set both function and gradient function pointers. | |
void | set_start_point (const vec &x, double F, const vec &g, const vec &h) |
Set start point for search. | |
void | get_solution (vec &xn, double &Fn, vec &gn) |
Get solution, function value and gradient at solution point. | |
bool | search () |
Do the line search. | |
bool | search (vec &xn, double &Fn, vec &gn) |
Do the line search and return solution. | |
bool | search (const vec &x, double F, const vec &g, const vec &h, vec &xn, double &Fn, vec &gn) |
Set starting point, do the line search, and return the solution. | |
double | get_alpha () |
return alpha at solution point, xn = x + alpha h | |
double | get_slope_ratio () |
return the slope ratio at solution poin, xn | |
int | get_no_function_evaluations () |
return number of function evaluations used in search | |
void | set_stop_values (double rho, double beta) |
Set stop criterion values. | |
double | get_rho () |
Return stop value rho. | |
double | get_beta () |
Return stop value beta. | |
void | set_max_iterations (int value) |
Set max number of iterations. | |
int | get_max_iterations () |
Return max number of iterations. | |
void | set_max_stepsize (double value) |
Set max stepsize. | |
double | get_max_stepsize () |
Return max number of iterations. | |
void | set_method (const Line_Search_Method &method) |
Set Line search method. | |
void | enable_trace () |
enable trace mode | |
void | disable_trace () |
disable trace | |
void | get_trace (vec &alphavalues, vec &Fvalues, vec &dFvalues) |
Line Search.
The line search try to minimize the objective function along the direction from the current position .
Hence we look at
and try to find an that minimizes .
Two variants are used. Either the soft line search (default) or the exact line search.
The soft line search stops when a point in the acceptable region is found, i.e.
and
Default vales are and .
The exact line search
and
where is the current interval for . Default vales are and .
The exact line search can at least in theory give the exact resutl, but it may require many extra function evaluations compared to soft line search.
Definition at line 223 of file newton_search.h.
void itpp::Line_Search::get_trace | ( | vec & | alphavalues, |
vec & | Fvalues, | ||
vec & | dFvalues | ||
) |
get trace outputs alphavalues
are the solutions of every iteration Fvalues
are the function values dFvalues
Definition at line 675 of file newton_search.cpp.
References it_warning.
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