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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

Geometric and solid modelling deal with the representation and manipulation of physical objects. Currently most geometric objects… Expand

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