polyzero.h File Reference

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Detailed Description

polynomial zero-finding support functions.

This file contains helper routines to polynomial roots-solving.

Author:

Michael Roy tika1966@yahoo.com

Version:

1.0

See also:

class Polynomial
laguerre.h
muller.h

Definition in file polyzero.h.

#include "polynomial.h"

Go to the source code of this file.

Functions
template<class T, class U, class V>
bool	newtonZero (const Polynomial< T > &p, U &z, U &pz, V &mpz, bool adaptive=false)
template<class T>
int	removeNullZeros (Polynomial< T > &p)
template<class T>
T	cauchyLowerBound (const Polynomial< T > &p, const T &upperBound=T(0))
template<class T>
T	cauchyUpperBound (const Polynomial< T > &p)
template<class T>
T	zerosGeometricMean (const Polynomial< T > &p)
template<class T>
T	zerosGeometricMean (const Polynomial< std::complex< T > > &p)
template<class T>
void	sortZeros (std::vector< std::complex< T > > &zeros)
template<class T>
T	solveDegree1 (const T &a, const T &b)
template<class T, class U>
void	solveDegree2 (const T &a, const T &b, const T &c, U &z1, U &z2)

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