Solving Via Eigenvalues

Solving Via Eigenvalues

A SINGULAR Implementation

AV Akademikerverlag ( 25.01.2012 )

€ 39,95

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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.

Buch Details:

ISBN-13:

978-3-639-38755-1

ISBN-10:

3639387554

EAN:

9783639387551

Buchsprache:

English

By (author) :

Normen Tobias Erbert

Seitenanzahl:

144

Veröffentlicht am:

25.01.2012

Kategorie:

Mathematics