CAPD DynSys Library  5.2.0
PolynomialBound.h File Reference
#include <map>
#include <iostream>
#include "capd/basicalg/minmax.h"
#include "capd/basicalg/power.h"
#include "capd/vectalg/Container.h"
#include "capd/vectalg/Matrix.h"

Classes

class  capd::pdes::PolynomialBound< Scalar, Exponent, M >
 
class  capd::pdes::PolynomialBound< Scalar, Exponent, M >
 

Namespaces

 capd
 
 capd::pdes
 

Functions

template<typename Scalar , typename Exponent , int M>
PolynomialBound< Scalar, Exponent, M > capd::pdes::operator+ (const PolynomialBound< Scalar, Exponent, M > &x, const PolynomialBound< Scalar, Exponent, M > &y)
 this operator realizes addition of two PolynomialBounds More...
 
template<typename Scalar , typename Exponent , int M>
PolynomialBound< Scalar, Exponent, M > capd::pdes::operator- (const PolynomialBound< Scalar, Exponent, M > &v1, const PolynomialBound< Scalar, Exponent, M > &v2)
 this operator realizes subtraction of two PolynomialBounds More...
 
template<typename Scalar , typename Exponent , int M>
PolynomialBound< Scalar, Exponent, M > capd::pdes::operator* (const Scalar &s, const PolynomialBound< Scalar, Exponent, M > &v)
 this operator realizes multiplication of any coefficient in PolynomialBound by some scalar More...
 
template<typename Scalar , typename Exponent , int M>
PolynomialBound< Scalar, Exponent, M > capd::pdes::operator* (const PolynomialBound< Scalar, Exponent, M > &p, const Scalar &s)
 this operator realizes multiplication of any coefficient in PolynomialBound by some scalar More...
 
template<typename Scalar , typename Exponent , int M, int dim>
PolynomialBound< Scalar, Exponent, M > capd::pdes::operator* (const capd::vectalg::Matrix< Scalar, dim, dim > &A, const PolynomialBound< Scalar, Exponent, M > &p)
 this operator realizes change of coordiante on some PolynomialBound More...
 
template<typename Scalar , typename Exponent , int M>
std::ostream & capd::pdes::operator<< (std::ostream &s, const PolynomialBound< Scalar, Exponent, M > &p)
 this operator writes a PolynomialBound object to a given stream in the following form {{p_1,p_2,...,p_M},C,exponent} where M is a number of main coefficients in an object p More...
 
template<typename Scalar , typename Exponent , int M>
PolynomialBound< Scalar, Exponent, M > capd::pdes::computeQF (const PolynomialBound< Scalar, Exponent, M > &y, const PolynomialBound< Scalar, Exponent, M > &w)
 the function computes value of operator QF on two PolynomialBounds y and w given by QF_i = $ \sum_{k=1}^{i-1} y_k w_{i-k} $ More...
 
template<typename Scalar , typename Exponent , int M>
PolynomialBound< Scalar, Exponent, M > capd::pdes::computeQI (const PolynomialBound< Scalar, Exponent, M > &y, const PolynomialBound< Scalar, Exponent, M > &w)
 the function computes value of operator QI on two PolynomialBounds y and w given by QI_i = $ \sum_{k=1}^\infty y_k w_{k+i} $ More...
 

Detailed Description

Author
Daniel Wilczak