By XIA BICAN ET AL
This is the 1st publication that makes a speciality of useful algorithms for polynomial inequality proving and learning. it's a precis of the paintings by means of the authors and their collaborators on computerized inequality proving and gaining knowledge of in recent times. in addition to short advent to a few classical effects and similar paintings in corresponding chapters, the e-book more often than not makes a speciality of the algorithms initiated by way of the authors and their collaborators, equivalent to actual root counting, genuine root class, more suitable CAD projection, dimension-decreasing set of rules, distinction substitution, etc. the entire algorithms have been carefully proved and the implementations are confirmed by means of plenty of examples in quite a few backgrounds corresponding to algebra, geometry, organic technological know-how, and machine science.
- 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 genuine algebraic geometry, optimization and synthetic intelligence.
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AUTOMATED INEQUALITY PROVING AND DISCOVERING by XIA BICAN ET AL