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» The Complexity of Integer Bound Propagation
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JMMA
2010
90views more  JMMA 2010»
13 years 25 days ago
A Unified Approach to Algorithms Generating Unrestricted and Restricted Integer Compositions and Integer Partitions
An original algorithm is presented that generates both restricted integer compositions and restricted integer partitions that can be constrained simultaneously by a) upper and low...
John Douglas Opdyke
LATIN
1998
Springer
13 years 10 months ago
The CREW PRAM Complexity of Modular Inversion
One of the long-standing open questions in the theory of parallel computation is the parallel complexity of the integer gcd and related problems, such as modular inversion. We pres...
Joachim von zur Gathen, Igor Shparlinski
PDPTA
2003
13 years 7 months ago
Quaternary Arithmetic Logic Unit on a Programmable Logic Device
Common binary arithmetic operations such as addition/subtraction and multiplication suffer from O(n) carry propagation delay where n is the number of digits. Carry lookahead helps...
Songpol Ongwattanakul, Phaisit Chewputtanagul, Dav...
ISSAC
1997
Springer
157views Mathematics» more  ISSAC 1997»
13 years 10 months ago
On the Worst-case Complexity of Integer Gaussian Elimination
Gaussian elimination is the basis for classical algorithms for computing canonical forms of integer matrices. Experimental results have shown that integer Gaussian elimination may...
Xin Gui Fang, George Havas
CORR
2010
Springer
111views Education» more  CORR 2010»
13 years 6 months ago
Improved complexity bounds for real root isolation using Continued Fractions
We consider the problem of isolating the real roots of a square-free polynomial with integer coefficients using (variants of) the continued fraction algorithm (CF). We introduce a...
Elias P. Tsigaridas