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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… Expand
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Papers overview

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Highly Cited
2013
Highly Cited
2013
This book is a guide to concepts and practice in numerical algebraic geometry - the solution of systems of polynomial equations… Expand
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Highly Cited
2009
Highly Cited
2009
This paper presents a sum of squares (SOS) approach for modeling and control of nonlinear dynamical systems using polynomial… Expand
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Highly Cited
2009
Highly Cited
2009
We define Recursive Markov Chains (RMCs), a class of finitely presented denumerable Markov chains, and we study algorithms for… Expand
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Highly Cited
2005
Highly Cited
2005
Summary. Recent advances in semidefinite programming along with use of the sum of squares decomposition to check nonnegativity… Expand
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Highly Cited
2004
Highly Cited
2004
We present a modification of Newton's method to restore quadratic convergence for isolated singular solutions of polynomial… Expand
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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… Expand
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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… Expand
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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… Expand
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Highly Cited
1999
Highly Cited
1999
Polynomial systems occur in a wide variety of application domains. Homotopy continuation methods are reliable and powerful… Expand
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Highly Cited
1994
Highly Cited
1994
  • Dinesh Manocha
  • IEEE Computer Graphics and Applications
  • 1994
  • Corpus ID: 6531394
Geometric and solid modelling deal with the representation and manipulation of physical objects. Currently most geometric objects… Expand
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