You've got two options:

1. Use the Intel Fortran Module Wizard to generate the appropriate interfaces to the Matlab Automation server and then use those interfaces along with the supporting routines provided by the IFCOM and IFAUTO modules. Stupid example attached.

2. You could use the routines exposed by the Matlab engine. This is what the mathworks recommends, but I hate the old F77 style call interfaces, use of the pre-processor, requirement for an external build script, etc, etc.   Supposedly this is just a wrapper around the COM stuff anyway.

You could wrap either method with your own set of interface routines to make your life easier.

Matlab's own documentation includes lots of supporting material.

IanH