By XIA BICAN ET AL
This is the 1st booklet that makes a speciality of functional algorithms for polynomial inequality proving and studying. it's a precis of the paintings by way of the authors and their collaborators on computerized inequality proving and learning in recent times. in addition to short creation to a couple classical effects and comparable paintings in corresponding chapters, the booklet regularly specializes in the algorithms initiated by means of the authors and their collaborators, resembling actual root counting, genuine root class, more desirable CAD projection, dimension-decreasing set of rules, distinction substitution, and so forth. all of the algorithms have been carefully proved and the implementations are validated via plenty of examples in numerous backgrounds corresponding to algebra, geometry, organic technological know-how, 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 genuine algebraic geometry, optimization and synthetic intelligence.
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AUTOMATED INEQUALITY PROVING AND DISCOVERING by XIA BICAN ET AL