Concept

Équation diophantienne

Publications associées (35)

Solving a system of linear diophantine equations with lower and upper bounds on the variables

We develop an algorithm for solving a system of diophantine equations with lower and upper bounds on the variables. The algorithm is based on lattice basis reduction. It first finds a short vector satisfying the system of diophantine equations, and a set o ...

INFORMS2000

Market split and basis reduction: towards a solution of the Cornuejols-Dawande instances

Arjen Lenstra

Previously, G. Cornuejols and M. Dawande (1998) proposed a set of 0-1 linear programming instances that proved to be very hard to solve by traditional methods, and in particular by linear programming based branch-and-bound. They offered these market split ...

2000

Fast reliable algorithms for matrices with structure

Ali H. Sayed

This book is the first to pay special attention to the combined issues of speed and numerical reliability in algorithm development. These two requirements have often been regarded as competitive, so much so that the design of fast and numerically reliable ...

Society for Industrial and Applied Mathematics1999

Photodissociation of water in rare gas matrixes: cage effect and local heating of the lattice

Majed Chergui

The H fragment produced in the photodissocn. of water (H2O -> H + OH) is lighter than the lattice atoms and a local heating occurs over long time scales and large spatial regions. Therefore, use of a continuum model for the lattice is justified. The local ...

1993

Wavelets and Filter Banks: Theory and Design

Martin Vetterli

The wavelet transform is compared with the more classical short-time Fourier transform approach to signal analysis. Then the relations between wavelets, filter banks, and multiresolution signal processing are explored. A brief review is given of perfect re ...

1992

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