Numerical Algorithms in Algebraic Geometry - Couverture souple

Al Rashed, Shwki

 
9783838113500: Numerical Algorithms in Algebraic Geometry
Couverture souple
ISBN 10 : 3838113500 ISBN 13 : 9783838113500
Editeur : Sudwestdeutscher Verlag Fur Hochschulschriften AG, 2011

Synopsis

Polynomial systems arise in many applications:robotics, kinematics, chemical kinetics, computer vision, truss design, geometric modeling, and many others. Many polynomial systems have solutions sets, called algebraic varieties, having several irreducible components. A fundamental problem of the numerical algebraic geometry is to decompose such an algebraic variety into its irreducible components. The witness point sets are the natural numerical data structure to encode irreducible algebraic varieties. Sommese, Verschelde and Wampler represented the irreducible algebraic decomposition of an algebraic variety as a union of finite disjoint sets called numerical irreducible decomposition. The sets present the irreducible components. The numerical irreducible decomposition is implemented in Bertini . We modify this concept using partially Groebner bases, triangular sets, local dimension, and the so-called zero sum relation. We present in the second chapter the corresponding algorithms and their implementations in SINGULAR. We give some examples and timings, which show that the modified algorithms are more efficient if the number of variables is not too large.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

2004 Bachelor of Science in Mathematics at the University of Damascus, Syria.2005-2007 Study of Mathematics at the University of Kaiserslautern, Germany.2007 Master of Science in Mathematics at the University of Kaiserslautern, Germany.2011 Doctor rerum naturalium, Dr. rer. nat. University of Kaiserslautern.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Sudwestdeutscher Verlag Fur Hochschulschriften AG
Date d'édition
2011
Langue
anglais
ISBN 10 
3838113500
ISBN 13 
9783838113500
Reliure
Broché
Nombre de pages
152
Coordonnées du fabricant
non disponible
Personne responsable
info@bod.de
info@bod.de

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