Automated Inequality Proving and Discovering

Nonfiction, Science & Nature, Mathematics, Discrete Mathematics, Geometry
Cover of the book Automated Inequality Proving and Discovering by Bican Xia, Lu Yang, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Bican Xia, Lu Yang ISBN: 9789814759137
Publisher: World Scientific Publishing Company Publication: June 21, 2016
Imprint: WSPC Language: English
Author: Bican Xia, Lu Yang
ISBN: 9789814759137
Publisher: World Scientific Publishing Company
Publication: June 21, 2016
Imprint: WSPC
Language: English

This is the first book that focuses on practical algorithms for polynomial inequality proving and discovering. It is a summary of the work by the authors and their collaborators on automated inequality proving and discovering in recent years. Besides brief introduction to some classical results and related work in corresponding chapters, the book mainly focuses on the algorithms initiated by the authors and their collaborators, such as real root counting, real root classification, improved CAD projection, dimension-decreasing algorithm, difference substitution, and so on. All the algorithms were rigorously proved and the implementations are demonstrated by lots of examples in various backgrounds such as algebra, geometry, biological science, and computer science.

See Press Release: A collection of practical algorithms for polynomial inequality proving and discovering

Contents:

  • Preface
  • Basics of Elimination Method
  • Zero Decomposition of Polynomial System
  • Triangularization of Semi-Algebraic System
  • Real Root Counting
  • Real Root Isolation
  • Real Root Classification
  • Open Weak CAD
  • Dimension-Decreasing Algorithm
  • SOS Decomposition
  • Successive Difference Substitution
  • Proving Inequalities Beyond the Tarski Model

Readership: Researchers and graduate students in computational real algebraic geometry, optimization and artificial intelligence.
Key Features:

  • A series of practical algorithms for automated polynomial inequality proving and discovering
  • Lots of detailed demos on how to use the tools based on our algorithms
  • Applications to other fields such as polynomial optimization, algebraic biology, and program verification
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This is the first book that focuses on practical algorithms for polynomial inequality proving and discovering. It is a summary of the work by the authors and their collaborators on automated inequality proving and discovering in recent years. Besides brief introduction to some classical results and related work in corresponding chapters, the book mainly focuses on the algorithms initiated by the authors and their collaborators, such as real root counting, real root classification, improved CAD projection, dimension-decreasing algorithm, difference substitution, and so on. All the algorithms were rigorously proved and the implementations are demonstrated by lots of examples in various backgrounds such as algebra, geometry, biological science, and computer science.

See Press Release: A collection of practical algorithms for polynomial inequality proving and discovering

Contents:

Readership: Researchers and graduate students in computational real algebraic geometry, optimization and artificial intelligence.
Key Features:

More books from World Scientific Publishing Company

Cover of the book Quantum Leaps by Bican Xia, Lu Yang
Cover of the book Context-Free Languages and Primitive Words by Bican Xia, Lu Yang
Cover of the book Problems in Portfolio Theory and the Fundamentals of Financial Decision Making by Bican Xia, Lu Yang
Cover of the book Birefringent Thin Films and Polarizing Elements by Bican Xia, Lu Yang
Cover of the book International Trade by Bican Xia, Lu Yang
Cover of the book Planetary Habitability and Stellar Activity by Bican Xia, Lu Yang
Cover of the book Inception Point by Bican Xia, Lu Yang
Cover of the book Risk and Stochastics by Bican Xia, Lu Yang
Cover of the book South Korea in the United Nations by Bican Xia, Lu Yang
Cover of the book Simulation-Driven Design Optimization and Modeling for Microwave Engineering by Bican Xia, Lu Yang
Cover of the book Introduction to Signal Processing, Instrumentation, and Control by Bican Xia, Lu Yang
Cover of the book Stochastic Analysis and Applications to Finance by Bican Xia, Lu Yang
Cover of the book Ganga Rejuvenation by Bican Xia, Lu Yang
Cover of the book Nuclear Structure in China 2012 by Bican Xia, Lu Yang
Cover of the book The Story of Antimatter by Bican Xia, Lu Yang
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy