codac2_Ellipsoid.h File Reference

#include "codac2_Matrix.h"
#include "codac2_Vector.h"
#include "codac2_IntervalVector.h"
#include "codac2_AnalyticFunction.h"
#include "codac2_BoolInterval.h"

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Classes
class	codac2::Ellipsoid
	Ellipsoid representation. More...

Namespaces
namespace	codac2

Functions
Ellipsoid	codac2::operator+ (const Ellipsoid &e1, const Ellipsoid &e2)
	Compute the Minkowski sum of two ellipsoids.
Ellipsoid	codac2::linear_mapping (const Ellipsoid &e, const Matrix &A, const Vector &b)
	Guaranteed linear evaluation A*e+b, considering the rounding errors.
Ellipsoid	codac2::unreliable_linear_mapping (const Ellipsoid &e, const Matrix &A, const Vector &b)
	Nonrigorous linear evaluation A*e+b.
Ellipsoid	codac2::nonlinear_mapping (const Ellipsoid &e, const AnalyticFunction< VectorType > &f)
	(Rigorous?) non-linear evaluation f(e)
Ellipsoid	codac2::nonlinear_mapping (const Ellipsoid &e, const AnalyticFunction< VectorType > &f, const Vector &trig, const Vector &q)
	(Rigorous?) non-linear evaluation f(e), with parameters
Matrix	codac2::nonlinear_mapping_base (const Matrix &G, const Matrix &J, const IntervalMatrix &J_box, const Vector &trig, const Vector &q)
	(Rigorous?) non-linear evaluation f(e), from Jacobian information
std::ostream &	codac2::operator<< (std::ostream &os, const Ellipsoid &e)
	Streams out an Ellipsoid.

Detailed Description

Date

2024

Author

Morgan Louédec

Copyright

Copyright 2024 Codac Team

License: GNU Lesser General Public License (LGPL)