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 August 2nd, 2011, 07:49 PM #1 Newbie   Joined: Aug 2011 Posts: 1 Thanks: 0 non linear equations Hi, I am trying to find out the complex root of a very large non-linear equation involving bessel functions. What is the best-suited numerical method?? Will bisection method be helpful in finding complex root? ... I tried it, but does not give me the proper result... pls help me... urgent. Thanks.
 August 2nd, 2011, 07:59 PM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 520 Math Focus: Calculus/ODEs Re: non linear equations Moved to the Calculus sub-forum.
 August 3rd, 2011, 07:32 AM #3 Math Team   Joined: Sep 2007 Posts: 2,409 Thanks: 6 Re: non linear equations I would recommend the Newton-Raphson Method: to solve f(x)= 0, construct the sequence $x_{n+1}= x_n- \frac{f(x_n)}{f#39;(x_n)}$. That will typically converge fairly rapidly to a root. One advantage it has over bisection is that you do not have to find two values of x that you know have a root between them- although, the closer you choose $x_0$ to a root, the faster the sequence will converge.
 October 20th, 2011, 06:47 AM #4 Newbie   Joined: Oct 2011 Posts: 1 Thanks: 0 Re: non linear equations There are plenty of methods that are available for you to solve these type of equations Newton Raphson, Gauss elimination, Gauss-Seidel, Newton forward interpolation formula, etc. If you have linear equations, then I would like to tell you that you can use a linear equation solver for solving them.

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