Solving Polynomial Equations: Foundations, Algorithms, and Applications / Edition 1

Solving Polynomial Equations: Foundations, Algorithms, and Applications / Edition 1

by Alicia Dickenstein
     
 

View All Available Formats & Editions

ISBN-10: 3642063616

ISBN-13: 9783642063619

Pub. Date: 12/15/2010

Publisher: Springer Berlin Heidelberg

This book provides a general introduction to modern mathematical aspects in computing with multivariate polynomials and in solving algebraic systems. It presents the state of the art in several symbolic, numeric, and symbolic-numeric techniques, including effective and algorithmic methods in algebraic geometry and computational algebra, complexity issues, and

Overview

This book provides a general introduction to modern mathematical aspects in computing with multivariate polynomials and in solving algebraic systems. It presents the state of the art in several symbolic, numeric, and symbolic-numeric techniques, including effective and algorithmic methods in algebraic geometry and computational algebra, complexity issues, and applications ranging from statistics and geometric modelling to robotics and vision.

Graduate students, as well as researchers in related areas, will find an excellent introduction to currently interesting topics. These cover Groebner and border bases, multivariate resultants, residues, primary decomposition, multivariate polynomial factorization, homotopy continuation, complexity issues, and their applications.

Product Details

ISBN-13:
9783642063619
Publisher:
Springer Berlin Heidelberg
Publication date:
12/15/2010
Series:
Algorithms and Computation in Mathematics Series, #14
Edition description:
Softcover reprint of hardcover 1st ed. 2005
Pages:
426
Product dimensions:
0.89(w) x 9.21(h) x 6.14(d)

Table of 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.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >