5, find the roots of the equation of the two methods

1, dichotomy

For continuous on the interval [a, b], and f (a) × f (b ) function y <0 a = f (x), by continuous range 0:00 where the function f (x) is divided into Second, both ends of gradually approaching zero point range, and further to obtain (or the corresponding equation root) is called the zero method for solving the dichotomy.
Seeking approximate solution of a dichotomy, essentially by the method of "taking the mid-point" of the use of "ideological approach to gradually narrow the range of zero located.

 

 

 

 

 

 

 

 

 

2, Newton iterative method

Iterative approximation method is a method for solving nonlinear equation roots, the key to this approach is to determine the iterative function j (x), the simple iterative method using the direct method of implicit equations obtained from the original x, thereby determining the iteration function j (x), this slow convergence iterative method, multiple iterations, so commonly used in theory, Newton iteration method using iterative format to another, having a faster convergence rate by Newton iterative method can be obtained in many other iterative format.

 

We are defined as follows:

 

 

 

 

 

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