ROOT   6.19/01 Reference Guide ROOT::Math::GSLMinimizer Class Reference

GSLMinimizer class.

Implementation of the ROOT::Math::Minimizer interface using the GSL multi-dimensional minimization algorithms.

The class implements the ROOT::Math::Minimizer interface and can be instantiated using the ROOT plugin manager (plugin name is "GSLMultiMin"). The varius minimization algorithms (conjugatefr, conjugatepr, bfgs, etc..) can be passed as enumerations and also as a string. The default algorithm is conjugatefr (Fletcher-Reeves conjugate gradient algorithm).

Definition at line 86 of file GSLMinimizer.h.

## Public Member Functions

GSLMinimizer (ROOT::Math::EGSLMinimizerType type=ROOT::Math::kConjugateFR)
Default constructor. More...

GSLMinimizer (const char *type)
Constructor with a string giving name of algorithm. More...

virtual ~GSLMinimizer ()
Destructor. More...

virtual double CovMatrix (unsigned int, unsigned int) const
return covariance matrices elements if the variable is fixed the matrix is zero The ordering of the variables is the same as in errors More...

virtual double Edm () const
return expected distance reached from the minimum More...

virtual const double * Errors () const
return errors at the minimum More...

virtual const double * MinGradient () const
return pointer to gradient values at the minimum More...

virtual bool Minimize ()
method to perform the minimization More...

virtual unsigned int NCalls () const
number of function calls to reach the minimum More...

virtual bool ProvidesError () const
minimizer provides error and error matrix More...

virtual void SetFunction (const ROOT::Math::IMultiGenFunction &func)
set the function to minimize More...

virtual void SetFunction (const ROOT::Math::IMultiGradFunction &func)
set the function to minimize More... Public Member Functions inherited from ROOT::Math::BasicMinimizer
BasicMinimizer ()
Default constructor. More...

virtual ~BasicMinimizer ()
Destructor. More...

virtual bool FixVariable (unsigned int ivar)
fix an existing variable More...

virtual bool GetVariableSettings (unsigned int ivar, ROOT::Fit::ParameterSettings &varObj) const
get variable settings in a variable object (like ROOT::Fit::ParamsSettings) More...

return pointer to used gradient object function (NULL if gradient is not supported) More...

virtual bool IsFixedVariable (unsigned int ivar) const
query if an existing variable is fixed (i.e. More...

virtual double MinValue () const
return minimum function value More...

virtual unsigned int NDim () const
number of dimensions More...

virtual unsigned int NFree () const
number of free variables (real dimension of the problem) More...

virtual unsigned int NPar () const
total number of parameter defined More...

const ROOT::Math::IMultiGenFunctionObjFunction () const
return pointer to used objective function More...

void PrintResult () const
print result of minimization More...

virtual bool ReleaseVariable (unsigned int ivar)
release an existing variable More...

virtual bool SetFixedVariable (unsigned int, const std::string &, double)
set fixed variable (override if minimizer supports them ) More...

virtual bool SetLimitedVariable (unsigned int ivar, const std::string &name, double val, double step, double, double)
set upper/lower limited variable (override if minimizer supports them ) More...

virtual bool SetLowerLimitedVariable (unsigned int ivar, const std::string &name, double val, double step, double lower)
set lower limit variable (override if minimizer supports them ) More...

virtual bool SetUpperLimitedVariable (unsigned int ivar, const std::string &name, double val, double step, double upper)
set upper limit variable (override if minimizer supports them ) More...

virtual bool SetVariable (unsigned int ivar, const std::string &name, double val, double step)
set free variable More...

virtual bool SetVariableLimits (unsigned int ivar, double lower, double upper)
set the limits of an already existing variable More...

virtual bool SetVariableLowerLimit (unsigned int ivar, double lower)
set the lower-limit of an already existing variable More...

virtual bool SetVariableStepSize (unsigned int ivar, double step)
set the step size of an already existing variable More...

virtual bool SetVariableUpperLimit (unsigned int ivar, double upper)
set the upper-limit of an already existing variable More...

virtual bool SetVariableValue (unsigned int ivar, double val)
set the value of an existing variable More...

virtual bool SetVariableValues (const double *x)
set the values of all existing variables (array must be dimensioned to the size of existing parameters) More...

virtual const double * StepSizes () const
accessor methods More...

const ROOT::Math::MinimTransformFunctionTransformFunction () const
return transformation function (NULL if not having a transformation) More...

virtual int VariableIndex (const std::string &name) const
get index of variable given a variable given a name return -1 if variable is not found More...

virtual std::string VariableName (unsigned int ivar) const
get name of variables (override if minimizer support storing of variable names) More...

virtual const double * X () const
return pointer to X values at the minimum More... Public Member Functions inherited from ROOT::Math::Minimizer
Minimizer ()
Default constructor. More...

virtual ~Minimizer ()
Destructor (no operations) More...

virtual void Clear ()
reset for consecutive minimizations - implement if needed More...

virtual bool Contour (unsigned int ivar, unsigned int jvar, unsigned int &npoints, double *xi, double *xj)
find the contour points (xi, xj) of the function for parameter ivar and jvar around the minimum The contour will be find for value of the function = Min + ErrorUp(); More...

virtual double Correlation (unsigned int i, unsigned int j) const
return correlation coefficient between variable i and j. More...

virtual int CovMatrixStatus () const
return status of covariance matrix using Minuit convention {0 not calculated 1 approximated 2 made pos def , 3 accurate} Minimizer who implements covariance matrix calculation will re-implement the method More...

double ErrorDef () const
return the statistical scale used for calculate the error is typically 1 for Chi2 and 0.5 for likelihood minimization More...

virtual bool GetCovMatrix (double *covMat) const
Fill the passed array with the covariance matrix elements if the variable is fixed or const the value is zero. More...

virtual bool GetHessianMatrix (double *hMat) const
Fill the passed array with the Hessian matrix elements The Hessian matrix is the matrix of the second derivatives and is the inverse of the covariance matrix If the variable is fixed or const the values for that variables are zero. More...

virtual bool GetMinosError (unsigned int ivar, double &errLow, double &errUp, int option=0)
minos error for variable i, return false if Minos failed or not supported and the lower and upper errors are returned in errLow and errUp An extra flag specifies if only the lower (option=-1) or the upper (option=+1) error calculation is run (This feature is not yet implemented) More...

virtual double GlobalCC (unsigned int ivar) const
return global correlation coefficient for variable i This is a number between zero and one which gives the correlation between the i-th parameter and that linear combination of all other parameters which is most strongly correlated with i. More...

virtual bool Hesse ()
perform a full calculation of the Hessian matrix for error calculation More...

bool IsValidError () const
return true if Minimizer has performed a detailed error validation (e.g. run Hesse for Minuit) More...

unsigned int MaxFunctionCalls () const
max number of function calls More...

unsigned int MaxIterations () const
max iterations More...

virtual unsigned int NIterations () const
number of iterations to reach the minimum More...

virtual MinimizerOptions Options () const
retrieve the minimizer options (implement derived class if needed) More...

double Precision () const
precision of minimizer in the evaluation of the objective function ( a value <=0 corresponds to the let the minimizer choose its default one) More...

int PrintLevel () const
minimizer configuration parameters More...

virtual void PrintResults ()
return reference to the objective function virtual const ROOT::Math::IGenFunction & Function() const = 0; More...

virtual bool Scan (unsigned int ivar, unsigned int &nstep, double *x, double *y, double xmin=0, double xmax=0)
scan function minimum for variable i. More...

void SetDefaultOptions ()
reset the defaut options (defined in MinimizerOptions) More...

void SetErrorDef (double up)
set scale for calculating the errors More...

void SetMaxFunctionCalls (unsigned int maxfcn)
set maximum of function calls More...

void SetMaxIterations (unsigned int maxiter)
set maximum iterations (one iteration can have many function calls) More...

void SetOptions (const MinimizerOptions &opt)
set all options in one go More...

void SetPrecision (double prec)
set in the minimizer the objective function evaluation precision ( a value <=0 means the minimizer will choose its optimal value automatically, i.e. More...

void SetPrintLevel (int level)
set print level More...

void SetStrategy (int strategyLevel)
set the strategy More...

void SetTolerance (double tol)
set the tolerance More...

void SetValidError (bool on)
flag to check if minimizer needs to perform accurate error analysis (e.g. run Hesse for Minuit) More...

virtual bool SetVariableInitialRange (unsigned int, double, double)
set the initial range of an existing variable More...

template<class VariableIterator >
int SetVariables (const VariableIterator &begin, const VariableIterator &end)

int Status () const
status code of minimizer More...

int Strategy () const
strategy More...

double Tolerance () const
absolute tolerance More...

## Private Member Functions

GSLMinimizer (const GSLMinimizer &)
Copy constructor. More...

GSLMinimizeroperator= (const GSLMinimizer &rhs)
Assignment operator. More...

## Private Attributes

ROOT::Math::GSLMultiMinimizerfGSLMultiMin

double fLSTolerance Protected Member Functions inherited from ROOT::Math::BasicMinimizer
bool CheckDimension () const

bool CheckObjFunction () const

MinimTransformFunctionCreateTransformation (std::vector< double > &startValues, const ROOT::Math::IMultiGradFunction *func=0)

void SetFinalValues (const double *x)

void SetMinValue (double val) Protected Attributes inherited from ROOT::Math::Minimizer
MinimizerOptions fOptions

int fStatus

bool fValidError

#include <Math/GSLMinimizer.h>

Inheritance diagram for ROOT::Math::GSLMinimizer:
[legend]

## ◆ GSLMinimizer() [1/3]

 ROOT::Math::GSLMinimizer::GSLMinimizer ( ROOT::Math::EGSLMinimizerType type = ROOT::Math::kConjugateFR )

Default constructor.

Definition at line 51 of file GSLMinimizer.cxx.

## ◆ GSLMinimizer() [2/3]

 ROOT::Math::GSLMinimizer::GSLMinimizer ( const char * type )

Constructor with a string giving name of algorithm.

Definition at line 66 of file GSLMinimizer.cxx.

## ◆ ~GSLMinimizer()

 ROOT::Math::GSLMinimizer::~GSLMinimizer ( )
virtual

Destructor.

Definition at line 93 of file GSLMinimizer.cxx.

## ◆ GSLMinimizer() [3/3]

 ROOT::Math::GSLMinimizer::GSLMinimizer ( const GSLMinimizer & )
inlineprivate

Copy constructor.

Definition at line 111 of file GSLMinimizer.h.

## ◆ CovMatrix()

 virtual double ROOT::Math::GSLMinimizer::CovMatrix ( unsigned int , unsigned int ) const
inlinevirtual

return covariance matrices elements if the variable is fixed the matrix is zero The ordering of the variables is the same as in errors

Reimplemented from ROOT::Math::Minimizer.

Definition at line 156 of file GSLMinimizer.h.

## ◆ Edm()

 virtual double ROOT::Math::GSLMinimizer::Edm ( ) const
inlinevirtual

return expected distance reached from the minimum

Reimplemented from ROOT::Math::Minimizer.

Definition at line 134 of file GSLMinimizer.h.

## ◆ Errors()

 virtual const double* ROOT::Math::GSLMinimizer::Errors ( ) const
inlinevirtual

return errors at the minimum

Reimplemented from ROOT::Math::Minimizer.

Definition at line 148 of file GSLMinimizer.h.

 const double * ROOT::Math::GSLMinimizer::MinGradient ( ) const
virtual

return pointer to gradient values at the minimum

Reimplemented from ROOT::Math::Minimizer.

Definition at line 288 of file GSLMinimizer.cxx.

## ◆ Minimize()

 bool ROOT::Math::GSLMinimizer::Minimize ( )
virtual

method to perform the minimization

Reimplemented from ROOT::Math::BasicMinimizer.

Definition at line 123 of file GSLMinimizer.cxx.

## ◆ NCalls()

 unsigned int ROOT::Math::GSLMinimizer::NCalls ( ) const
virtual

number of function calls to reach the minimum

Reimplemented from ROOT::Math::Minimizer.

Definition at line 112 of file GSLMinimizer.cxx.

## ◆ operator=()

 GSLMinimizer& ROOT::Math::GSLMinimizer::operator= ( const GSLMinimizer & rhs )
inlineprivate

Assignment operator.

Definition at line 116 of file GSLMinimizer.h.

## ◆ ProvidesError()

 virtual bool ROOT::Math::GSLMinimizer::ProvidesError ( ) const
inlinevirtual

minimizer provides error and error matrix

Reimplemented from ROOT::Math::Minimizer.

Definition at line 145 of file GSLMinimizer.h.

## ◆ SetFunction() [1/2]

 void ROOT::Math::GSLMinimizer::SetFunction ( const ROOT::Math::IMultiGenFunction & func )
virtual

set the function to minimize

Reimplemented from ROOT::Math::BasicMinimizer.

Definition at line 100 of file GSLMinimizer.cxx.

## ◆ SetFunction() [2/2]

 virtual void ROOT::Math::GSLMinimizer::SetFunction ( const ROOT::Math::IMultiGradFunction & func )
inlinevirtual

set the function to minimize

Reimplemented from ROOT::Math::BasicMinimizer.

Definition at line 127 of file GSLMinimizer.h.

## ◆ fGSLMultiMin

 ROOT::Math::GSLMultiMinimizer* ROOT::Math::GSLMinimizer::fGSLMultiMin
private

Definition at line 166 of file GSLMinimizer.h.

## ◆ fLSTolerance

 double ROOT::Math::GSLMinimizer::fLSTolerance
private

Definition at line 168 of file GSLMinimizer.h.

Libraries for ROOT::Math::GSLMinimizer: [legend]

The documentation for this class was generated from the following files:
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