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Lagarias, J
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Polynomial time algorithms for finding integer relations among real numbers
Håstad J., Just B., Lagarias J., Schnorr C. SIAM Journal on Computing 18(5): 859-881, 1989. Type: Article
All algorithms shown in this paper use as their main idea the Lattice Basis Reduction Algorithm introduced by Lenstra, Lenstra Jr., and Lovász [1]. The authors demonstrate several algorithms related to the following problem: &...
...
Dec 1 1990
Algorithms for packing squares: a probabilistic analysis
E. G. J., Lagarias J. SIAM Journal on Computing 18(1): 166-185, 1989. Type: Article
This paper discusses the problem of packing a collection of squares into a semi-infinite strip of unit width or into a series of bins of unit height and width. The authors provide algorithms for the packing process for each case and co...
...
Oct 1 1989
The computational complexity of simultaneous diophantine approximation problems
Lagarias J. SIAM Journal on Computing 14(1): 196-209, 1985. Type: Article
This paper considers the computational complexity of algorithms to find good simultaneous approximations to a given vector of
d
rational numbers. Such problems have a number of important applications. The goodness of an approxim...
...
Jan 1 1986
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