Numerical Algorithms in Algebraic Geometry
Language: English
Published by Südwestdeutscher Verlag Für Hochschulschriften AG Co. KG Jul 2015, 2015
- Softcover
- New
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.
AbeBooks seller since January 11, 2012
Condition: New
£ 60.18
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Add to basketItem description from seller
This item is printed on demand - it takes 3-4 days longer - 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. 152 pp. Englisch.…
Seller Inventory # 9783838113500
- Title
- Numerical Algorithms in Algebraic Geometry
- Author
- Shwki Al Rashed
- Publisher
- Südwestdeutscher Verlag Für Hochschulschriften AG Co. KG Jul 2015
- Publication year
- 2015
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3838113500
- ISBN 13
- 9783838113500
- Item weight
- 244 grams
- Dimensions
- 220x150x10 mm
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About the Author
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BuchWeltWeit Ludwig Meier e.K.
Bergisch Gladbach, Germany
AbeBooks seller since January 11, 2012
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