Thirty years of Polynomial System Solving, and now?

In this introductory paper to the special issue, I describe first my personal view of the history of Polynomial System Solving during my career. Then I describe the main challenges which are now opened by the availability of efficient zero-dimensional solvers.

Saved in:
Bibliographic Details
Published inJournal of symbolic computation Vol. 44; no. 3; pp. 222 - 231
Main Author Lazard, Daniel
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.03.2009
Elsevier
Subjects
Algebraic optimization
Computer Science
Connected components
Cylindrical algebraic decomposition
Effective algebraic geometry
Parametric system
Polynomial system solving
Radical equidimensional decomposition
Topology of semi-algebraic sets
Radical equidimensional decomposition
Effective algebraic geometry
Cylindrical algebraic decomposition
Connected components
Polynomial system solving
Topology of semi-algebraic sets
Parametric system
Algebraic optimization
Online AccessGet full text

Cover

More Information
Summary:In this introductory paper to the special issue, I describe first my personal view of the history of Polynomial System Solving during my career. Then I describe the main challenges which are now opened by the availability of efficient zero-dimensional solvers.
ISSN:0747-7171
1095-855X
DOI:10.1016/j.jsc.2008.03.004