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 nonlinear equation involving bessel functions. What is the bestsuited 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: 12,155 Thanks: 462 Math Focus: Calculus/ODEs  Re: non linear equations
Moved to the Calculus subforum.

August 3rd, 2011, 07:32 AM  #3 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 5  Re: non linear equations
I would recommend the NewtonRaphson Method: to solve f(x)= 0, construct the sequence . 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 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, GaussSeidel, 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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