‘Sought’ or ‘sought-after’?

In the context of a computation, I would like to refer to “the sought value”. I think this is the most precise and terse formulation. However, I have noticed that people often use “sought-after” rather than “sought” in some similar situations. I could certainly say “the sought-after value”, but it’s a bit clumsier, especially if it isn’t necessary. Dictionary entries for ‘seek’ don’t seem to indicate that a preposition should be necessary.

Of course, “the value sought” or “the value sought after” (again, which is best?) could do the trick, and perhaps that’s better English in general, but in my mathematical context, I think the precise meaning gets through more clearly when I use ‘sought’ in an adjective-like manner.

So, is my preferred formulation “the sought value” kosher, or should I modify it with a preposition or otherwise?

"The sought value" is technically correct and would be understood. You can say something like:

They sought the best value.

But IMHO it sounds stilted and old-fashioned. I would use a different verb if you're simply talking about seeking something.

"Sought-after" is idiomatic usage for something that is desired. Dictionary.com:

Idioms 9. be sought after, to be desired or in demand: Graduates in the physical sciences are most sought after by employers these days.

If you're talking about a desired value, then that would be the right usage. I'm not sure what you're after from the context of your question.

"Sought-after" is a ridiculously recently popularized twist on "sought" and has completely replaced "sought" in common usage. I see "highly sought-after" everywhere, knowing "highly sought" would suffice. Sought-after seems to be different from sought; but why would anything be sought if it were not desirable?

This smacks of "irregardless" which lexicographers have, astonishingly, simply shoved into dictionaries, instead of holding firm that there is NO SUCH WORD.

Perhaps they should add a new entry to "axe" which would be "to inquire of" - if 'frequent usage' is the only criteria. Did I misspell? Aks? Ax? Just ax me.

Drop sought-after. It's redundant. Nothing is sought which is not sought-after.

Sigh. Forget global warming. We are all doomed to death by mass stupidity.