Problems in NC
As with P, by a slight abuse of language, one might classify function problems and search problems as being in NC. NC is known to include many problems, including
- Integer addition, multiplication and division;
- Matrix multiplication, determinant, inverse, rank;
- Polynomial GCD, by a reduction to linear algebra using Sylvester matrix (it is open whether integer GCD is in NC);
- Finding a maximal matching.
Often algorithms for those problems had to be separately invented and could not be naïvely adapted from well-known algorithms – Gaussian elimination and Euclidean algorithm rely on operations performed in sequence. One might contrast ripple carry adder with a carry-lookahead adder.
Read more about this topic: NC (complexity)
Famous quotes containing the word problems:
“Our [adult] children have an adult’s right to make their own choices and have the responsibility of living with the consequences. If we make their problems ours, they avoid that responsibility, and we are faced with problems we can’t and shouldn’t solve.”
—Jane Adams (20th century)