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The numerical solution of systems of polynomials arising in engineering and science / by Andrew J. Sommese and Charles W. Wampler, II.
- Format:
- Book
- Author/Creator:
- Sommese, Andrew John.
- Language:
- English
- Subjects (All):
- Polynomials.
- Algebra.
- Physical Description:
- 1 online resource (425 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Hackensack, NJ : World Scientific, 2005.
- Language Note:
- English
- Summary:
- Written by the founders of the new and expanding field of numerical algebraic geometry, this is the first book that uses an algebraic-geometric approach to the numerical solution of polynomial systems and also the first one to treat numerical methods for finding positive dimensional solution sets. The text covers the full theory from methods developed for isolated solutions in the 1980's to the most recent research on positive dimensional sets.
- Contents:
- Preface; Contents; Conventions; Chapter 1 Polynomial Systems; Chapter 2 Homotopy Continuation; Chapter 3 Projective Spaces; Chapter 4 Genericity and Probability One; Chapter 5 Polynomials of One Variable; Chapter 6 Other Methods; Chapter 7 Coefficient-Parameter Homotopy; Chapter 8 Polynomial Structures; Chapter 9 Case Studies; Chapter 10 Endpoint Estimation; Chapter 11 Checking Results and Other Implementation Tips; Chapter 12 Basic Algebraic Geometry; Chapter 13 Basic Numerical Algebraic Geometry; Chapter 14 A Cascade Algorithm for Witness Supersets
- Chapter 15 The Numerical Irreducible DecompositionChapter 16 The Intersection Of Algebraic Sets; Appendices; Appendix A Algebraic Geometry; Appendix B Software for Polynomial Continuation; Appendix C HomLab User's Guide; Bibliography; Index
- Notes:
- Description based upon print version of record.
- Includes bibliographical references (p. 379-395) and index.
- ISBN:
- 9786611880828
- 9781281880826
- 1281880825
- 9789812567727
- 9812567720
- OCLC:
- 229178341
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