Title
Polynomial time algorithms for finding integer relations among real numbers
Abstract
We present algorithms, which when given a real vector x 2\fracn -</font > 222^{\frac{{n - 2}}{2}} times longer than the length of the shortest relation for x. Given a rational input xn this algorithm halts in polynomially many bit operations. The basic algorithm of this kind is due to Ferguson and Forcade (1979) and is closely related to the Lovàsz (1982) lattice basis reduction algorithm.
Year
DOI
Venue
1986
10.1007/3-540-16078-7_69
SIAM J. Comput.
Keywords
Field
DocType
diophantine approximation,lattice basis reduction
Integer,Discrete mathematics,Combinatorics,Square-free polynomial,Degree of a polynomial,Algorithm,Integer relation algorithm,Polynomial remainder theorem,Homogeneous polynomial,Irreducible polynomial,Mathematics,Lattice reduction
Conference
Volume
Issue
ISBN
18
5
3-540-16078-7
Citations 
PageRank 
References 
48
17.77
1
Authors
4
Name
Order
Citations
PageRank
Johan Håstad13586557.23
B. Just24817.77
J. C. Lagarias3563235.61
C. P. Schnorr437995.27