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By XIA BICAN ET AL

ISBN-10: 9814759112

ISBN-13: 9789814759113

This is the 1st publication that specializes in functional algorithms for polynomial inequality proving and gaining knowledge of. it's a precis of the paintings via the authors and their collaborators on computerized inequality proving and learning in recent times. in addition to short advent to a couple classical effects and comparable paintings in corresponding chapters, the booklet typically specializes in the algorithms initiated via the authors and their collaborators, akin to actual root counting, genuine root class, more suitable CAD projection, dimension-decreasing set of rules, distinction substitution, etc. the entire algorithms have been conscientiously proved and the implementations are tested by means of plenty of examples in a variety of backgrounds equivalent to algebra, geometry, organic technology, and machine science.

Contents:

  • Preface
  • Basics of removal Method
  • Zero Decomposition of Polynomial System
  • Triangularization of Semi-Algebraic System
  • Real Root Counting
  • Real Root Isolation
  • Real Root Classification
  • Open susceptible CAD
  • Dimension-Decreasing Algorithm
  • SOS Decomposition
  • Successive distinction Substitution
  • Proving Inequalities past the Tarski Model

Readership: Researchers and graduate scholars in computational actual algebraic geometry, optimization and synthetic intelligence.

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