That result is what I have been looking for.  Thank you!

The DirectSearch package has a lot of useful functionality.  I will be using the package a lot in the future!

That result is what I have been looking for.  Thank you!

The DirectSearch package has a lot of useful functionality.  I will be using the package a lot in the future!

I substituted x+I*y for s and solved as before.  The result still satisfies ecT but not T. 

complex-roots-T_Joel.mw

I substituted x+I*y for s and solved as before.  The result still satisfies ecT but not T. 

complex-roots-T_Joel.mw

I should have typed:

     solve(ecT,[x], UseAssumptions) assuming x::complex;

I got the same result though.

I should have typed:

     solve(ecT,[x], UseAssumptions) assuming x::complex;

I got the same result though.

@Markiyan Hirnyk Thanks!

I see that the solution satisfies ecT, but not T as given in the .mw file ComplexRootsVerifi.mw.  Is this because evalc assumes variables to be real?  I tried using the assume command to assume my variable s is complex but Maple did not return a solution  ComplexRootsComplex.mw

@Markiyan Hirnyk Thanks!

I see that the solution satisfies ecT, but not T as given in the .mw file ComplexRootsVerifi.mw.  Is this because evalc assumes variables to be real?  I tried using the assume command to assume my variable s is complex but Maple did not return a solution  ComplexRootsComplex.mw

Thank you, that is helpful.

I tried, however, to substitute the solutions into the original problem to verify that they are roots and it doesn't appear that they are.  Please see revised .mw below:

complex-roots-evalc_.mw

Thank you, that is helpful.

I tried, however, to substitute the solutions into the original problem to verify that they are roots and it doesn't appear that they are.  Please see revised .mw below:

complex-roots-evalc_.mw

The "pointplot" function did the trick.  Thanks for your help.

The "pointplot" function did the trick.  Thanks for your help.

This does work, however, I should have been more specific in regard to the format I am looking for.  I would like to plot the output of the procedure as a points that correspond to a number of arguments.  I would like to plot all of these points on one plot.

This does work, however, I should have been more specific in regard to the format I am looking for.  I would like to plot the output of the procedure as a points that correspond to a number of arguments.  I would like to plot all of these points on one plot.