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» Solving Very Sparse Rational Systems of Equations
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TOMS
2011
45views more  TOMS 2011»
13 years 1 months ago
Solving Very Sparse Rational Systems of Equations
William Cook, Daniel E. Steffy
JSC
2008
78views more  JSC 2008»
13 years 6 months ago
Rational Univariate Reduction via toric resultants
We describe algorithms for solving a given system of multivariate polynomial equations via the Rational Univariate Reduction (RUR). We compute the RUR from the toric resultant of ...
Koji Ouchi, John Keyser
DCC
2008
IEEE
14 years 5 months ago
On solving sparse algebraic equations over finite fields
A system of algebraic equations over a finite field is called sparse if each equation depends on a small number of variables. Finding efficiently solutions to the system is an unde...
Igor Semaev
CORR
1998
Springer
105views Education» more  CORR 1998»
13 years 5 months ago
Solving Degenerate Sparse Polynomial Systems Faster
Abstract. Consider a system F of n polynomial equations in n unknowns, over an algebraically closed field of arbitrary characteristic. We present a fast method to find a point in...
J. Maurice Rojas
CORR
2006
Springer
95views Education» more  CORR 2006»
13 years 6 months ago
Solving Sparse Integer Linear Systems
We propose a new algorithm to solve sparse linear systems of equations over the integers. This algorithm is based on a p-adic lifting technique combined with the use of block matr...
Wayne Eberly, Mark Giesbrecht, Pascal Giorgi, Arne...