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ISSAC
1997
Springer
102views Mathematics» more  ISSAC 1997»
14 years 4 months ago
A Numerical Absolute Primality Test for Bivariate Polynomials
We give a new numerical absolute primality criterion for bivariate polynomials. This test is based on a simple property of the monomials appearing after a generic linear change of...
André Galligo, Stephen M. Watt
ISSAC
1997
Springer
157views Mathematics» more  ISSAC 1997»
14 years 4 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
ISSAC
1997
Springer
142views Mathematics» more  ISSAC 1997»
14 years 4 months ago
The Structure of Sparse Resultant Matrices
Resultants characterize the existence of roots of systems of multivariate nonlinear polynomial equations, while their matrices reduce the computation of all common zeros to a prob...
Ioannis Z. Emiris, Victor Y. Pan
ISSAC
1997
Springer
105views Mathematics» more  ISSAC 1997»
14 years 4 months ago
On Randomized Lanczos Algorithms
Las Vegas algorithms that are based on Lanczos’s method for solving symmetric linear systems are presented and analyzed. These are compared to a similar randomized Lanczos algor...
Wayne Eberly, Erich Kaltofen
ISSAC
1997
Springer
105views Mathematics» more  ISSAC 1997»
14 years 4 months ago
Guarded Expressions in Practice
Computer algebra systems typically drop some degenerate cases when evaluating expressions, e.g., x=x becomes 1 dropping the case x = 0. We claim that it is feasible in practice to...
Andreas Dolzmann, Thomas Sturm
ISSAC
1997
Springer
118views Mathematics» more  ISSAC 1997»
14 years 4 months ago
An OpenMath 1.0 Implementation
Stéphane Dalmas, Marc Gaëtano, Stephen...
ISSAC
1997
Springer
98views Mathematics» more  ISSAC 1997»
14 years 4 months ago
On Symmetric Powers of Differential Operators
Manuel Bronstein, Thom Mulders, Jacques-Arthur Wei...
ISSAC
1997
Springer
129views Mathematics» more  ISSAC 1997»
14 years 4 months ago
A Class of Logarithmic Integrals
A class of de nite integrals involving cyclotomicpolynomials and nested logarithms is considered. The results are given in terms of derivatives of the Hurwitz Zeta function. Some s...
Victor Adamchik
AFPAC
1997
Springer
151views Mathematics» more  AFPAC 1997»
14 years 4 months ago
Trilinear Tensor: The Fundamental Construct of Multiple-view Geometry and Its Applications
The topic of representation, recovery and manipulation of three-dimensional 3D scenes from two-dimensional 2D images thereof, provides a fertile ground for both intellectual th...
Amnon Shashua
AFPAC
1997
Springer
132views Mathematics» more  AFPAC 1997»
14 years 4 months ago
Perception and Action Using Multilinear Forms
In this paper it is shown how multilinear forms can be used in the perception-action cycle. Firstly, these forms can be used to reconstruct an unknown (or partially known) scene fr...
Anders Heyden, Gunnar Sparr, Kalle Åströ...