3.2.1 Completing the Square

 

 

 

 

 

3.2.2 Newton-Raphson to Find Roots

 

• When given an equation where an algebraic solution is not feasible, a numerical solution may be required. One simple technique uses an instantaneous slope of the function, and takes iterative steps towards a solution.

 

 

• The function f(x) is supplied by the user along with an initial guess.

 

• This method can become divergent if the function has an inflection point near the root.

 

• The technique is also sensitive to the initial guess.

 

• This calculation should be repeated until the final solution is found.

 

• Scilab example,