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MOC
1998
65views more  MOC 1998»
13 years 6 months ago
A natural lattice basis problem with applications
Integer lattices have numerous important applications, but some of them may have been overlooked because of the common assumption that a lattice basis is part of the problem instan...
John D. Hobby
MOC
1998
73views more  MOC 1998»
13 years 6 months ago
Detecting perfect powers in essentially linear time
This paper (1) gives complete details of an algorithm to compute approximate kth roots; (2) uses this in an algorithm that, given an integer n > 1, either writes n as a perfect ...
Daniel J. Bernstein
MOC
1998
94views more  MOC 1998»
13 years 6 months ago
Analysis of third-order methods for secular equations
Third-order numerical methods are analyzed for secular equations. These equations arise in several matrix problems and numerical linear algebra applications. A closer look at an ex...
A. Melman
MOC
1998
61views more  MOC 1998»
13 years 6 months ago
Polynomials with small Mahler measure
Abstract. We describe several searches for polynomials with integer coefficients and small Mahler measure. We describe the algorithm used to test Mahler measures. We determine all...
Michael J. Mossinghoff
MOC
1998
104views more  MOC 1998»
13 years 6 months ago
Chaos in the Lorenz equations: A computer assisted proof. Part II: Details
Abstract. Details of a new technique for obtaining rigorous results concerning the global dynamics of nonlinear systems is described. The technique abstract existence results based...
Konstantin Mischaikow, Marian Mrozek