Monte hasn't realized that his link didn't take.
The complexity of the individual process varies according to how much change the brass must undergo. For changing caliber with the same parent case, necking down with the smaller sizing die generally does the trick, unless the diameter reduction is so much that an intermediate step is needed. Similarly, necking up is accomplished with an expander mandrel; those mandrels used when neck turning work well. A sizing die with a tapered expander button will also work. When the case body must be reformed, it may simply be a matter of fire-forming the new cartridge in the rifle's chamber; the Ackley Improved cartridges have this characteristic. For more complex cartridge modifications, each will have its own procedure, and die manufacturers will have case- forming dies to do the job.
Someone who shoots the 338 Edge can help you with the specifics for that modification.