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secant method : ウィキペディア英語版
secant method

In numerical analysis, the secant method is a root-finding algorithm that uses a succession of roots of secant lines to better approximate a root of a function ''f''. The secant method can be thought of as a finite difference approximation of Newton's method. However, the method was developed independently of Newton's method, and predated the latter by over 3,000 years.
==The method==
The secant method is defined by the recurrence relation
:
x_n
=x_-f(x_)\frac})}
=\frac)-x_f(x_)})}

As can be seen from the recurrence relation, the secant method requires two initial values, ''x''0 and ''x''1, which should ideally be chosen to lie close to the root.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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