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FairCurve_Newton Class Reference

Algorithme of Optimization used to make "FairCurve"

#include <FairCurve_Newton.hxx>

Inheritance diagram for FairCurve_Newton:
Inheritance graph
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Public Member Functions

DEFINE_STANDARD_ALLOC FairCurve_Newton (math_MultipleVarFunctionWithHessian &F, const math_Vector &StartingPoint, const Standard_Real SpatialTolerance=1.0e-7, const Standard_Real CriteriumTolerance=1.0e-2, const Standard_Integer NbIterations=40, const Standard_Real Convexity=1.0e-6, const Standard_Boolean WithSingularity=Standard_True)
 -- Given the starting point StartingPoint,
The tolerance required on the solution is given by
Tolerance.
Iteration are stopped if
(!WithSingularity) and H(F(Xi)) is not definite
positive (if the smaller eigenvalue of H < Convexity)
or IsConverged() returns True for 2 successives Iterations.
Warning: Obsolete Constructor (because IsConverged can not be redefined
with this. )

 FairCurve_Newton (math_MultipleVarFunctionWithHessian &F, const Standard_Real SpatialTolerance=1.0e-7, const Standard_Real Tolerance=1.0e-7, const Standard_Integer NbIterations=40, const Standard_Real Convexity=1.0e-6, const Standard_Boolean WithSingularity=Standard_True)
 
      The tolerance  required on  the  solution is given  by <br>
      Tolerance. <br>
       Iteration are  stopped if <br>
       (!WithSingularity)  and H(F(Xi)) is not definite <br>
       positive  (if the smaller eigenvalue of H < Convexity) <br>
      or IsConverged() returns True for 2 successives Iterations. <br>

Warning: This constructor do not computation

virtual Standard_Boolean IsConverged () const
 This method is called at the end of each
iteration to check the convergence :
|| Xi+1 - Xi || < SpatialTolerance/100 Or
|| Xi+1 - Xi || < SpatialTolerance and
|F(Xi+1) - F(Xi)| < CriteriumTolerance * |F(xi)|
It can be redefined in a sub-class to implement a specific test.


Constructor & Destructor Documentation

DEFINE_STANDARD_ALLOC FairCurve_Newton::FairCurve_Newton ( math_MultipleVarFunctionWithHessian F,
const math_Vector StartingPoint,
const Standard_Real  SpatialTolerance = 1.0e-7,
const Standard_Real  CriteriumTolerance = 1.0e-2,
const Standard_Integer  NbIterations = 40,
const Standard_Real  Convexity = 1.0e-6,
const Standard_Boolean  WithSingularity = Standard_True 
)
FairCurve_Newton::FairCurve_Newton ( math_MultipleVarFunctionWithHessian F,
const Standard_Real  SpatialTolerance = 1.0e-7,
const Standard_Real  Tolerance = 1.0e-7,
const Standard_Integer  NbIterations = 40,
const Standard_Real  Convexity = 1.0e-6,
const Standard_Boolean  WithSingularity = Standard_True 
)

Member Function Documentation

virtual Standard_Boolean FairCurve_Newton::IsConverged ( ) const [virtual]

Reimplemented from math_NewtonMinimum.


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