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» Solving Very Sparse Rational Systems of Equations
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MOC
1998
65views more  MOC 1998»
13 years 7 months ago
Solving constrained Pell equations
Consider the system of Diophantine equations x2 − ay2 = b, P (x, y) = z2, where P is a given integer polynomial. Historically, such systems have been analyzed by using Baker’s ...
Kiran S. Kedlaya
LSSC
2001
Springer
13 years 12 months ago
Solving Systems of Linear Algebraic Equations Using Quasirandom Numbers
In this paper we analyze a quasi-Monte Carlo method for solving systems of linear algebraic equations. It is well known that the convergence of Monte Carlo methods for numerical in...
Aneta Karaivanova, Rayna Georgieva
TSMC
2008
147views more  TSMC 2008»
13 years 7 months ago
A New Approach for Solving Nonlinear Equations Systems
This paper proposes a new perspective for solving systems of complex nonlinear equations by simply viewing them as a multiobjective optimization problem. Every equation in the syst...
Crina Grosan, Ajith Abraham
JSC
2006
147views more  JSC 2006»
13 years 7 months ago
An algorithm to solve integer linear systems exactly using numerical methods
In this paper, we present a new algorithm for the exact solutions of linear systems with integer coefficients using numerical methods. It terminates with the correct answer in wel...
Zhendong Wan
DCC
2011
IEEE
13 years 2 months ago
Sparse Boolean equations and circuit lattices
Abstract. A system of Boolean equations is called sparse if each equation depends on a small number of variables. Finding efficiently solutions to the system is an underlying hard ...
Igor Semaev