root equations methods
TRANSCRIPT
- 1. ROOTS OF EQUATIONS
2. GRAPHICAL METHODS
In these methods, what is sought is to plot the graph of y = f (x).
The point where cutting the abscissa (x) is the root. These methods
although very general, have their drawbacks.
3. INTERVAL METHODS
4. It is a simple, time-consuming and has linear convergence, and
is performed as follows:
1. Choose the initial values lower Xi and upper Xs.
2. The first approximation to the root Xr is determined as:
=
3. Calculate F (Xi), F (Xr) to determine in which subinterval the
root lies.
BISECTION METHODS
5. 4.Then:
a)If F (Xi) * F (Xr) 0, the root is in the upper subinterval,
then:
Xr= Xi
5.Then, repeat the pointtwo y when Error