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STOC
2007
ACM
128views Algorithms» more  STOC 2007»
16 years 4 months ago
Iteratively constructing preconditioners via the conjugate gradient method
We consider the problem of solving a symmetric, positive definite system of linear equations. The most well-known and widely-used method for solving such systems is the preconditi...
John Dunagan, Nicholas J. A. Harvey
FSTTCS
2009
Springer
15 years 10 months ago
Iterative Methods in Combinatorial Optimization
We describe a simple iterative method for proving a variety of results in combinatorial optimization. It is inspired by Jain’s iterative rounding method (FOCS 1998) for designing...
R. Ravi
STOC
2007
ACM
119views Algorithms» more  STOC 2007»
16 years 4 months ago
Balanced max 2-sat might not be the hardest
We show that, assuming the Unique Games Conjecture, it is NPhard to approximate MAX 2-SAT within LLZ + , where 0.9401 < LLZ < 0.9402 is the believed approximation ratio of t...
Per Austrin
STOC
2007
ACM
85views Algorithms» more  STOC 2007»
16 years 4 months ago
Faster integer multiplication
For more than 35 years, the fastest known method for integer multiplication has been the Sch?onhage-Strassen algorithm running in time O(n log n log log n). Under certain restricti...
Martin Fürer
STOC
2007
ACM
108views Algorithms» more  STOC 2007»
16 years 4 months ago
Combinatorial complexity in O-minimal geometry
In this paper we prove tight bounds on the combinatorial and topological complexity of sets defined in terms of n definable sets belonging to some fixed definable family of sets i...
Saugata Basu