System of polynomial equations

Known as: Nonlinear system of equations, Polynomial system of equations, Polynomial systems of equations 
A system of polynomial equations is a set of simultaneous equations f1 = 0, ..., fh = 0 where the fi are polynomials in several variables, say x1… (More)
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Topic mentions per year

Topic mentions per year

1962-2017
0204019622017

Papers overview

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2012
2012
This paper explores the opportunities of using a GPGPU to solve systems of polynomial equations. We propose numerical real root… (More)
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2008
2008
If beta and gamma are nonnegative integers and F is a field, then a polynomial collection {p<sub>1</sub>,<sub>hellip</sub> ,P<sub… (More)
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Highly Cited
2008
Highly Cited
2008
Almost any cryptographic scheme can be described by tweakable polynomials over GF (2), which contain both secret variables (e.g… (More)
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Highly Cited
2002
Highly Cited
2002
Several recently proposed ciphers, for example Rijndael and Serpent, are built with layers of small S-boxes interconnected by… (More)
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2001
2001
Solving a system of polynomial equations is a ubiquitous problem in the applications of mathematics. Until recently, it has been… (More)
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Highly Cited
2001
Highly Cited
2001
Given a system of polynomial equations and inequations with coefficients in the field of rational numbers, we show how to compute… (More)
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Highly Cited
2000
Highly Cited
2000
The security of many recently proposed cryptosystems is based on the difficulty of solving large systems of quadratic… (More)
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Highly Cited
1994
Highly Cited
1994
Geometric and solid modelling deal with the representation and manipulation of physical objects. Currently most geometric objects… (More)
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1973
1973
Methods for finding numerical solutions of nonlinear algebraic systems of equations have been given considerable attention since… (More)
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1966
1966
The elimination procedure as described by Williams has been coded in LISP and FORMAC and used in solving systems of polynomial… (More)
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