Solving Polynomial Equations Foundations, Algorithms, and Applications /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bronstein, Manuel (Editor), Cohen, Arjeh M. (Editor), Cohen, Henri (Editor), Eisenbud, David (Editor), Sturmfels, Bernd (Editor), Dickenstein, Alicia (Editor), Emiris, Ioannis Z. (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Algorithms and Computation in Mathematics, 14
• Subjects: Mathematics.; Computer science > Mathematics.; Algebra.; Algorithms.; Symbolic and Algebraic Manipulation.

The subject of this book is the solution of polynomial equations, that is, s- tems of (generally) non-linear algebraic equations. This study is at the heart of several areas of mathematics and its applications. It has provided the - tivation for advances in di?erent branches of mathematics such as a...

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.