Complex Root Isolation
Language: English
Published by Scholars' Press Jun 2013, 2013
- Softcover
- New
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.
AbeBooks seller since January 11, 2012
Condition: New
£ 40.62
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This item is printed on demand - it takes 3-4 days longer - Neuware -Complex root isolation of univariate Gaussian integer polynomial A(z) can be done by reducing the problem to find an algorithm to determine the number of roots of A(z) in any given closed rectangle R in the complex plane. If there are no zeros of A(z) on the boundary of R, then the number of roots in R can be obtained by using the argument principle. However, the argument principle fails when there is a root on the boundary of R. In this book a mathematical proof is given to solve the problem although there are roots on the boundary. We have also presented an algorithm based on the above result that isolate all complex zeros of A. Furthermore we have shown that the time complexity of the algorithm has a good upper bound. Finally, the algorithm is implemented in SacLib2.1 and we have provided empirical evidence that our algorithm is efficient in practice. 64 pp. Englisch.
Seller Inventory # 9783639514445
- Title
- Complex Root Isolation
- Author
- Jayantha Lanel
- Publisher
- Scholars' Press Jun 2013
- Publication year
- 2013
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3639514440
- ISBN 13
- 9783639514445
- Item weight
- 113 grams
- Dimensions
- 220x150x4 mm
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BuchWeltWeit Ludwig Meier e.K.
Bergisch Gladbach, Germany
AbeBooks seller since January 11, 2012
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