By XIA BICAN ET AL
This is the 1st ebook that specializes in sensible algorithms for polynomial inequality proving and researching. it's a precis of the paintings by way of the authors and their collaborators on computerized inequality proving and studying lately. along with short creation to a couple classical effects and similar paintings in corresponding chapters, the ebook normally specializes in the algorithms initiated via the authors and their collaborators, akin to genuine root counting, actual root category, greater CAD projection, dimension-decreasing set of rules, distinction substitution, and so forth. the entire algorithms have been carefully proved and the implementations are confirmed by means of plenty of examples in a variety of backgrounds resembling algebra, geometry, organic technology, and laptop science.
- Basics of removing Method
- Zero Decomposition of Polynomial System
- Triangularization of Semi-Algebraic System
- Real Root Counting
- Real Root Isolation
- Real Root Classification
- Open vulnerable 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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AUTOMATED INEQUALITY PROVING AND DISCOVERING by XIA BICAN ET AL