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· 제목 : Numerically Solving Polynomial Systems with Bertini (Paperback)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 수리분석
· ISBN : 9781611972696
· 쪽수 : 370쪽
· 출판일 : 2013-12-19
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 수리분석
· ISBN : 9781611972696
· 쪽수 : 370쪽
· 출판일 : 2013-12-19
목차
- List of Figures
- Conventions
- Preface
- Part I: Isolated Systems
- Chapter 1: Polynomial Systems
- Chapter 2: Basic Polynomial Continuation
- Chapter 3: Adaptive Precision and Endgames
- Chapter 4: Projective Space
- Chapter 5: Types of Homotopies
- Chapter 6: Parameter Homotopies
- Chapter 7: Advanced Topics about Isolated Solutions
- Part II: Positive-Dimensional Solution Sets
- Chapter 8: Positive-Dimensional Components
- Chapter 9: Computing Witness Supersets
- Chapter 10: The Numerical Irreducible Decomposition
- Chapter 11: Advanced Topics about Positive-Dimensional Solution Sets
- Part III: Further Algorithms and Applications
- Chapter 12: Intersection
- Chapter 13: Singular Sets
- Chapter 14: Real Solutions
- Chapter 15: Applications to Algebraic Geometry
- Chapter 16: Projections of Algebraic Sets
- Chapter 17: Big Polynomial Systems Arising from Differential Equations
- Part IV: Bertini Users Manual
- Appendix A: Bertini Quick Start Guide
- Appendix B: Input Format
- Appendix C: Calling Options
- Appendix D: Output Files
- Appendix E: Configuration Settings
- Appendix F: Tips and Tricks
- Appendix G: Parallel Computing
- Appendix H: Related Software
- Bibliography
- Software Index
- Subject Index.
