Numerical Methods

Question 1

If the function f(x) is continuous on the interval [a,b] and f(a) and f(b) have opposite signs, what can be said?

Answer 1

F(x) has at least one root, x, which satisfies a<x<b

Question 2

What would you do to solve an equation of the form f(x)=0 by an iterative method?

Answer 2

Rearrange f(x)=0 into the form x=g(x) and use the iterative formula