Solving Polynomial Equations

Foundations, Algorithms, and Applications
1. Auflage. Softcover version of original hardcover Auflage 2005
ISBN: 978-3-642-06361-9
Verlag: Springer

Buch, Englisch, 426 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 663 g

Reihe: Algorithms and Computation in Mathematics

This useful collection 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 a range of applications. Graduate students, as well as researchers in related areas, will find an excellent introduction to currently interesting topics.

Zielgruppe

Research

Autoren/Hrsg.

Emiris, Ioannis Z.

Dickenstein, Alicia

Fachgebiete

• Mathematik | Informatik Mathematik Algebra
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Computeralgebra
• Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz Computer Vision
• Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Robotik
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker

Inhaltsverzeichnis

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.