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Solving Via Eigenvalues: A SINGULAR Implementation - Normen Tobias Erbert

Anglų
2012-01-25
43,13 € 57,51 €

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Systems of polynomial equations play an important role in many scientific applications. But it is often rather complex and time-consuming to find all -real and complex- solutions. This book describes an efficient algorithm, which uses eigenvalues to compute all solutions of a given system of polynomial equations. For this, the theory of Gröbner bases is combined with numerical linear algebra. Also, a compar ... Visas aprašymas

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Systems of polynomial equations play an important role in many scientific applications. But it is often rather complex and time-consuming to find all -real and complex- solutions. This book describes an efficient algorithm, which uses eigenvalues to compute all solutions of a given system of polynomial equations. For this, the theory of Gröbner bases is combined with numerical linear algebra. Also, a comparison to the performance of existing algorithms is given. Furthermore, a new algorithm to compute the primary decomposition of a zero-dimensional ideal and an algorithm to compute the number of real respectively complex roots of a system of polynomial equations using the quadratic form is delineated. All described algorithms are implemented in the computer algebra system SINGULAR.

Daugiau informacijos

Autorius Normen Tobias Erbert
Leidėjas AV Akademikerverlag
Išleidimo metai 2012
Viršelio tipas Minkšti viršeliai
EAN 9783639387551
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43,13 € 57,51 €