Polynomial Functions

Functions
double	itpp::cheb (int n, double x)
	Chebyshev polynomial of the first kindChebyshev polynomials of the first kind can be defined as follows: .
vec	itpp::cheb (int n, const vec &x)
	Chebyshev polynomial of the first kindChebyshev polynomials of the first kind can be defined as follows: .
mat	itpp::cheb (int n, const mat &x)
	Chebyshev polynomial of the first kindChebyshev polynomials of the first kind can be defined as follows: .
void	itpp::poly (const vec &r, vec &p)
	Create a polynomial of the given rootsCreate a polynomial p with roots r.
void	itpp::poly (const cvec &r, cvec &p)
	Create a polynomial of the given rootsCreate a polynomial p with roots r.
vec	itpp::poly (const vec &r)
	Create a polynomial of the given rootsCreate a polynomial p with roots r.
cvec	itpp::poly (const cvec &r)
	Create a polynomial of the given rootsCreate a polynomial p with roots r.
void	itpp::roots (const vec &p, cvec &r)
	Calculate the roots of the polynomialCalculate the roots r of the polynomial p.
void	itpp::roots (const cvec &p, cvec &r)
	Calculate the roots of the polynomialCalculate the roots r of the polynomial p.
cvec	itpp::roots (const vec &p)
	Calculate the roots of the polynomialCalculate the roots r of the polynomial p.
cvec	itpp::roots (const cvec &p)
	Calculate the roots of the polynomialCalculate the roots r of the polynomial p.
vec	itpp::polyval (const vec &p, const vec &x)
	Evaluate polynomialEvaluate the polynomial p (of length at the points x The output is given by .
cvec	itpp::polyval (const vec &p, const cvec &x)
	Evaluate polynomialEvaluate the polynomial p (of length at the points x The output is given by .
cvec	itpp::polyval (const cvec &p, const vec &x)
	Evaluate polynomialEvaluate the polynomial p (of length at the points x The output is given by .
cvec	itpp::polyval (const cvec &p, const cvec &x)
	Evaluate polynomialEvaluate the polynomial p (of length at the points x The output is given by .

Detailed Description

Function Documentation

ITPP_EXPORT double itpp::cheb	(	int	n,
		double	x
	)

Chebyshev polynomial of the first kindChebyshev polynomials of the first kind can be defined as follows:

.

Parameters

n	order of the Chebyshev polynomial
x	value at which the Chebyshev polynomial is to be evaluated

Author

Kumar Appaiah, Adam Piatyszek (code review)

Definition at line 195 of file poly.cpp.

References itpp::acos(), itpp::acosh(), itpp::cos(), itpp::cosh(), itpp::is_even(), and it_assert.

Referenced by itpp::cheb(), and itpp::chebwin().

ITPP_EXPORT vec itpp::cheb	(	int	n,
		const vec &	x
	)

Chebyshev polynomial of the first kindChebyshev polynomials of the first kind can be defined as follows:

.

Parameters

n	order of the Chebyshev polynomial
x	vector of values at which the Chebyshev polynomial is to be evaluated

Returns

values of the Chebyshev polynomial evaluated for each element of x

Author

Kumar Appaiah, Adam Piatyszek (code review)

Definition at line 209 of file poly.cpp.

References itpp::cheb(), and it_assert_debug.

ITPP_EXPORT mat itpp::cheb	(	int	n,
		const mat &	x
	)

Chebyshev polynomial of the first kindChebyshev polynomials of the first kind can be defined as follows:

.

Parameters

n	order of the Chebyshev polynomial
x	matrix of values at which the Chebyshev polynomial is to be evaluated

Returns

values of the Chebyshev polynomial evaluated for each element in x.

Author

Kumar Appaiah, Adam Piatyszek (code review)

Definition at line 220 of file poly.cpp.

References itpp::cheb(), and it_assert_debug.