Make sure you have at least two kernels available.

This material is taken from The Mathematica Programmer II, Chapter 12.

Reference: Roman E. Maeder, The Mathematica Programmer II, New York: Academic Press, 1996.

This package is an excerpt from MathProg`SIS`. To work with the examples, you need to evaluate this whole section.

The main part of the SIS function is a giant Table[] command, which we want to replace with ParallelTable[]. However, we have to make sure we do not access any nonlocal variables in the body of the table command because these will not be known on the remote kernels. Here is a code template that shows a nonlocal variable being used in a Table[].

There are two ways to solve this problem.

The first is to instantiate all nonlocal variables with a construct like

The second is to export all nonlocal variables to the remote kernels.

In the body of the table there is also a local function next[] that in turn uses some nonlocal variables inside its body. We can treat it in the same way and then export it, too.

Here is the code of ParallelSIS[], with the modifications highlighted in color. The code is packaged as an extension of MathProg`SIS`. Be sure to evaluate this package in the section Sequential Code first.