We present a generalization of multiple orthogonal polynomials of type I and type II, which we call multiple orthogonal polynomials of mixed type. Some basic properties are formul...
We present new deterministic and probabilistic algorithms that reduce the factorization of dense polynomials from several to one variable. The deterministic algorithm runs in sub-...
High Mach number astrophysical jets are simulated using a positive scheme, and are compared with WENO-LF simulations. A version of the positive scheme has allowed us to simulate as...
: In the early 1980s, Selman's seminal work on positive Turing reductions showed that positive Turing reduction to NP yields no greater computational power than NP itself. Thu...
We provide the first polynomial time algorithm for the linear version of a market equilibrium model defined by Irving Fisher in 1891, thereby partially answering an open questio...
Nikhil R. Devanur, Christos H. Papadimitriou, Amin...