Solving transcendental equations with discontinuities

[wazzabi]

I have a fairly large transcendental equation which I write in the form f(x) = 0. I have attempted to use Newton Raphson to get some form of convergence but it often does not converge to the correct value. Plotting the function I found a discontinuity just after the solution. Is there a mathematical method which can deal with such transcendental equations, or is there even a method which can tell me all the solutions of an equation rather than just one of the roots?
I am using Matlab, if that helps.
Thanks in advance.

 

[Stephen Tashi]

Is there a mathematical method which can deal with such transcendental equations.

You haven't described your equation except to say that it was large, so you are essentially asking if there is a numerical method that can give all the solutions to any transcendental equation. I know of no numerical method that works with such generality. If you can give more specifics, perhaps someone can make a useful suggestion.