A colleague of mine explained this concept in the early 1990s; he sounded like he read it in a (printed) sci-fi story: whether novel, novella, short story or radio-drama script I have no idea.
The premise is, a lightweight drive has made slower-than-light travel feasible over interstellar distances (couple of l-yrs, say): the ship incurs tremendous acceleration on the first half of the voyage (hundreds or thousands of G's, say), followed by tumbling and equally tremendous deceleration until it get captured around the target star.
Such an acceleration would make it impossible to embark a crew: they would be squashed to red pulp against the floor of their cabin. The solution is to also embark a portable black hole and to adjust the position of the cabin relative to it, constantly keeping the gravitational field of the black hole within +/- 1g of the propulsive acceleration around the cabin.
Things we did not discuss:
- how the black hole and the cabin are kept fixed w/resp. to the drive;
- protection of the crew against ageing by relativistic effects: time dilation and twin paradox.
What story was this (author/title) and was it published in print? Note, the publishing must be before the end of the 1st Gulf war (mid-1991, latest). My then-colleague could have read it, or its translation, in French, English or Russian.
Added after accepting the answer.
The McAndrew Chronicles differ markedly from my understanding of my colleague's exposition. I believe this arises from failed recollection and the accepted answer really was his source.
The McAndrew drive is the "lightweight drive which has made slower-than-light travel feasible" over interplanetary, not interstellar, distances; basically, it uses portable black holes for energy storage, pretty much like we use flywheels instead of batteries to power electromagnetic guns.
At least in Moment of Inertia, the anti-G system which enables interstellar travel(?) with the drive and motivated my question balances ~50G of propulsive acceleration (not thousands of G's) with the gravity of a circular plate of condensed matter, not with that of a black hole.