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» Third-Order Computation and Bounded Arithmetic
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IPL
2007
111views more  IPL 2007»
13 years 7 months ago
Powering requires threshold depth 3
We study the circuit complexity of the powering function, defined as POWm(Z) = Zm for an n-bit integer input Z and an integer exponent m poly(n). Let LTd denote the class of func...
Alexander A. Sherstov
ISSAC
2009
Springer
144views Mathematics» more  ISSAC 2009»
14 years 2 months ago
H-LLL: using householder inside LLL
We describe a new LLL-type algorithm, H-LLL, that relies on Householder transformations to approximate the underlying Gram-Schmidt orthogonalizations. The latter computations are ...
Ivan Morel, Damien Stehlé, Gilles Villard
STOC
1989
ACM
96views Algorithms» more  STOC 1989»
13 years 11 months ago
Optimal Size Integer Division Circuits
Division is a fundamental problem for arithmetic and algebraic computation. This paper describes Boolean circuits of bounded fan-in for integer division  nding reciprocals that...
John H. Reif, Stephen R. Tate
TCS
2008
13 years 7 months ago
Nondeterministic polynomial time factoring in the tile assembly model
Formalized study of self-assembly has led to the definition of the tile assembly model, Previously I presented ways to compute arithmetic functions, such as addition and multiplic...
Yuriy Brun
CC
1999
Springer
320views System Software» more  CC 1999»
13 years 11 months ago
Floating Point to Fixed Point Conversion of C Code
In processors that do not support floating-point instructions, using fixed-point arithmetic instead of floating-point emulation trades off computation accuracy for execution spe...
Andrea G. M. Cilio, Henk Corporaal