Iteration method | fixed point iteration method

This video contains a numerical and an extra example at the end.My purpose of doing so was to make clear about why do we need arrange the given equation in all the possible forms of x=fie(x).

Bisection method:
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ForGauss Elimination Method by Partial Pivoting check out the following link:

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For Newton's forward interpolation method check out the link

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[flooglewarp]

13:11 should the 2nd equation be x = (-x+1)^1/3 with negative x in argument as oppose to positive x? or am i wrong?

[aishwaryahunnur]

Well Explained Sir, Keep on doing more vedios

[holyshit]

Transform equation to the form
x = f(x)
and there we have two options
Solve x = f(x) or solve x = f^{-1}(x)
How to choose correct one ?

In this example
f(x) = 100/x^2 - 1
If we try to solve x=f(x) we will get divergent sequence but if we solve x = f^{-1}(x) sequence will converge

[emmanuelenobong]

Is fixed point iteration still the same as method of successive approximation

[komalavanis]

Why we take x0=4 ? If we take x0=5 means

[yusuffabdulmusawwir]

Why is the second form for the second example not valid??
Since the root lie between 0 and 1 and once we plug it to to the derivative we get less than 1 for both, why is it not still valid?

[Spirit]

sir can we put f(0) and f(1) in the beginning equation itself means in the question