Solving Polynomial Equations : Foundations, Algorithms, and Applications. (eBook, 2006) [University of Washington Libraries]
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Solving Polynomial Equations : Foundations, Algorithms, and Applications.

Author: Alicia Dickenstein; Ioannis Z Emiris
Publisher: Dordrecht : Springer-Verlag Berlin and Heidelberg & Co. KG, 2006.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Provides an introduction to modern mathematical aspects in computing with multivariate polynomials and in solving algebraic systems. This book presents several symbolic, numeric, and symbolic-numeric techniques, including algorithmic methods in algebraic geometry and computational algebra, complexity issues, and a range of applications.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Dickenstein, Alicia.
Solving Polynomial Equations : Foundations, Algorithms, and Applications.
Dordrecht : Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, ©2006
Material Type: Document
Document Type: Book, Computer File
All Authors / Contributors: Alicia Dickenstein; Ioannis Z Emiris
ISBN: 9783540273578 3540273573
OCLC Number: 828802076
Description: 1 online resource (432 pages)
Contents: To residues and resultants --
Solving equations via algebras --
Symbolic-numeric methods for solving polynomial equations and applications --
An algebraist's view on border bases --
Tools for computing primary decompositions and applications to ideals associated to Bayesian networks --
Algorithms and their complexities --
Toric resultants and applications to geometric modelling --
to numerical algebraic geometry --
Four lectures on polynomial absolute factorization.

Abstract:

Provides an introduction to modern mathematical aspects in computing with multivariate polynomials and in solving algebraic systems. This book presents several symbolic, numeric, and symbolic-numeric techniques, including algorithmic methods in algebraic geometry and computational algebra, complexity issues, and a range of applications.
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