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» Positive Versions of Polynomial Time
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JAT
2007
56views more  JAT 2007»
14 years 9 months ago
Multiple orthogonal polynomials of mixed type and non-intersecting Brownian motions
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...
Evi Daems, Arno B. J. Kuijlaars
JSC
2007
80views more  JSC 2007»
14 years 9 months ago
Improved dense multivariate polynomial factorization algorithms
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-...
Grégoire Lecerf
JSCIC
2008
47views more  JSCIC 2008»
14 years 9 months ago
Positive Scheme Numerical Simulation of High Mach Number Astrophysical Jets
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...
Youngsoo Ha, Carl L. Gardner
CORR
1999
Springer
93views Education» more  CORR 1999»
14 years 9 months ago
On the Power of Positive Turing Reductions
: 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...
Edith Hemaspaandra
FOCS
2002
IEEE
15 years 2 months ago
Market Equilibrium via a Primal-Dual-Type Algorithm
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...