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» Third-Order Computation and Bounded Arithmetic
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IPL
2007
111views more  IPL 2007»
14 years 9 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»
15 years 4 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»
15 years 1 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
74
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TCS
2008
14 years 9 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»
15 years 1 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