secular-evaluation.h File Reference

Evaluation of secular equations. More...

#include <mps/mps.h>

Go to the source code of this file.

Functions
MPS_BEGIN_DECLS mps_boolean	mps_secular_feval (mps_context *s, mps_polynomial *p, cplx_t x, cplx_t value)
	Evaluate a secular equation sec in the point x.
mps_boolean	mps_secular_feval_with_error (mps_context *s, mps_polynomial *p, cplx_t x, cplx_t value, double *error)
	Evaluate a secular equation sec in the point x, estimating the error on the evaluation.
mps_boolean	mps_secular_deval (mps_context *s, mps_polynomial *p, cdpe_t x, cdpe_t value)
	Evaluate a secular equation sec in the point x.
mps_boolean	mps_secular_deval_derivative (mps_context *s, mps_polynomial *p, cdpe_t x, cdpe_t value)
mps_boolean	mps_secular_deval_with_error (mps_context *s, mps_polynomial *p, cdpe_t x, cdpe_t value, rdpe_t error)
	Evaluate a secular equation sec in the point x.
mps_boolean	mps_secular_meval (mps_context *s, mps_polynomial *p, mpc_t x, mpc_t value)
	Evaluate a secular equation sec in the point x.
mps_boolean	mps_secular_meval_with_error (mps_context *s, mps_polynomial *p, mpc_t x, mpc_t value, rdpe_t error)
	Evaluate a secular equation sec in the point x.
mps_boolean	mps_secular_feval_derivative (mps_context *s, mps_polynomial *p, cplx_t x, cplx_t value)

Detailed Description

Evaluation of secular equations.

Function Documentation

mps_secular_deval()

mps_boolean mps_secular_deval	(	mps_context *	s,
		mps_polynomial *	p,
		cdpe_t	x,
		cdpe_t	value )

Evaluate a secular equation sec in the point x.

Parameters

s	The mps_context of the computation.
p	The secular equation to evaluate.
x	The point in which the secular equation must be evaluated.
value	The value of the secular equation in the point x.

mps_secular_deval_with_error()

mps_boolean mps_secular_deval_with_error	(	mps_context *	s,
		mps_polynomial *	p,
		cdpe_t	x,
		cdpe_t	value,
		rdpe_t	error )

Evaluate a secular equation sec in the point x.

Parameters

s	The mps_context of the computation.
p	The secular equation to evaluate.
x	The point in which the secular equation must be evaluated.
value	The value of the secular equation in the point x.
error	A bound to the module of the relative error occurred in the computation.

mps_secular_feval()

MPS_BEGIN_DECLS mps_boolean mps_secular_feval	(	mps_context *	s,
		mps_polynomial *	p,
		cplx_t	x,
		cplx_t	value )

Evaluate a secular equation sec in the point x.

Parameters

s	The mps_context of the computation.
p	The secular equation to evaluate.
x	The point in which the secular equation must be evaluated.
value	The value of the secular equation in the pointer x.

mps_secular_feval_with_error()

mps_boolean mps_secular_feval_with_error	(	mps_context *	s,
		mps_polynomial *	p,
		cplx_t	x,
		cplx_t	value,
		double *	error )

Evaluate a secular equation sec in the point x, estimating the error on the evaluation.

Parameters

s	The mps_context of the computation.
p	The secular equation to evaluate.
x	The point in which the secular equation must be evaluated.
value	The value of the secular equation in the pointer x.
error	The absolute error on the evaluation.

mps_secular_meval()

mps_boolean mps_secular_meval	(	mps_context *	s,
		mps_polynomial *	p,
		mpc_t	x,
		mpc_t	value )

Evaluate a secular equation sec in the point x.

Parameters

s	The mps_context of the computation.
p	The secular equation to evaluate.
x	The point in which the sceular equation must be evaluated.
value	The value of the secular equation in the point x.

mps_secular_meval_with_error()

mps_boolean mps_secular_meval_with_error	(	mps_context *	s,
		mps_polynomial *	p,
		mpc_t	x,
		mpc_t	value,
		rdpe_t	error )

Evaluate a secular equation sec in the point x.

Parameters

s	The mps_context of the computation.
p	The secular equation to evaluate.
x	The point in which the sceular equation must be evaluated.
value	The value of the secular equation in the point x.
error	A bound to the absolute value of the error introduced in the computation.