Numerical Algorithms in Algebraic Geometry

Language: English

Published by Südwestdeutscher Verlag Für Hochschulschriften Dez 2011, 2011

3838113500 / 9783838113500

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This item is printed on demand - Print on Demand Titel. Neuware -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.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 152 pp. Englisch.…

Seller Inventory # 9783838113500

Title
Numerical Algorithms in Algebraic Geometry
Author
Shwki Al Rashed
Publisher
Südwestdeutscher Verlag Für Hochschulschriften Dez 2011
Publication year
2011
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3838113500
ISBN 13
9783838113500
Item weight
244 grams
Dimensions
220x150x10 mm

buchversandmimpf2000

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