Solving Polynomial Equations Foundations, Algorithms, and Applications /

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...

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Corporate Author: SpringerLink (Online service)
Other Authors: Bronstein, Manuel., Cohen, Arjeh M., Cohen, Henri., Eisenbud, David., Sturmfels, Bernd., Dickenstein, Alicia., Emiris, Ioannis Z.
Format: Electronic
Language: English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
Series: Algorithms and Computation in Mathematics, 14
Subjects:
Online Access: http://dx.doi.org/10.1007/b138957
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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.