MGBisection クラス

A virtual super class to solve non-linear equations by the bicection method. [詳解]

公開メンバ関数
	MGBisection (double ts, double te)
virtual	~MGBisection ()
virtual void	set_initial_t (double t)=0
	Prepare by setting the initial value. [詳解]
virtual double	compare_replace (double t, bool &replaced)=0
double	solve (double t, double span_initial, double tolerance, int &nrepition)
	Solve the equation with bisection method. [詳解]

詳解

A virtual super class to solve non-linear equations by the bicection method.

Let f(t) be a function of one double parameter, and a solution of f(t) is known to exist between [ts,te]. Then MGBisect::solve() gets the solution, given the initial candidate t, the initial span, and the tolerance to halt the iteration. To use MGBisection, define a subclass of MGBisection, and prepare member functions set_initial_t() and compare_replace(), and use solve() method to get the solution.

構築子と解体子

MGBisection::MGBisection	(	double	ts,
		double	te
	)

引数

ts	parameter range from ts
te	to te.

virtual MGBisection::~MGBisection ( )

inlinevirtual

関数詳解

virtual double MGBisection::compare_replace ( double  t, bool &  replaced  )

pure virtual

compare with the previous function value(the initial value is set by set_initial_t) and replace t with the previous one if necessary. The function's return value is the new parameter value.

引数

t	parameter value to compare at.
replaced	true will be returned if the t is the new solution candidate value.

virtual void MGBisection::set_initial_t ( double  t )

pure virtual

Prepare by setting the initial value.

double MGBisection::solve	(	double	t,
		double	span_initial,
		double	tolerance,
		int &	nrepition
	)

Solve the equation with bisection method.

引数

t	The initial parameter value.
span_initial	The initial parameter span length to increment or decrement, span*.5 will be the 1st try of the iteration.
tolerance	The tolerance to halt the bisection iteration.
nrepition	iterated number will be returned.

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このクラス詳解は次のファイルから抽出されました:

• mg/bisection.h