Certificates of Positivity for Real Polynomials: Theory, Practice, and Applications

Author:   Victoria Powers
Publisher:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
Volume:   69
ISBN:  

9783030855468


Pages:   156
Publication Date:   26 November 2021
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Certificates of Positivity for Real Polynomials: Theory, Practice, and Applications


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Author:   Victoria Powers
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   1st ed. 2021
Volume:   69
Weight:   0.424kg
ISBN:  

9783030855468


ISBN 10:   3030855465
Pages:   156
Publication Date:   26 November 2021
Audience:   Professional and scholarly ,  College/higher education ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1. Preliminaries.- 2. Sums of Squares and Positive Polynomials. - 3. Global Certificates of Positivity.- 4. Positive Semidefinite Ternary Quartics.- 5. Positivity on Semialgebraic Sets.- 6. The Archimedean Property.- 7. Theorems of Schmudgen and Putinar.- 8. The Dimension One Case.- 9. Positivity on Polytopes.- 10. The Noncompact Case.- 11. Sums of Squares of Rational Polynomials.- 12. Positive Polynomials with Special Structure.- Real Algebra and Algebraic Geometry.- Index of Notation.- Index.

Reviews

This book introduces several theories with applications ... . Also, the book includes introductions to various recent developments ... . The author described the results as friendly as possible with sufficient intuitions and examples. ... This book provides a good introduction to certificates of positivity who want to learn this area as a beginner. (Jaewoo Jung, zbMATH 1483.14001, 2022)


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