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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Certificates of Positivity for Real Polynomials: Theory, Practice, and Applications

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

Powers, Victoria

Hardcover

Series: Developments in Mathematics, Book 69

General ComputersGeneral MathematicsGeometry

ISBN10: 3030855465
ISBN13: 9783030855468
Publisher: Springer Nature
Published: Nov 26 2021
Pages: 156
Weight: 0.92
Height: 0.44 Width: 6.14 Depth: 9.21
Language: English

This book collects and explains the many theorems concerning the existence of certificates of positivity for polynomials that are positive globally or on semialgebraic sets. A certificate of positivity for a real polynomial is an algebraic identity that gives an immediate proof of a positivity condition for the polynomial. Certificates of positivity have their roots in fundamental work of David Hilbert from the late 19th century on positive polynomials and sums of squares. Because of the numerous applications of certificates of positivity in mathematics, applied mathematics, engineering, and other fields, it is desirable to have methods for finding, describing, and characterizing them. For many of the topics covered in this book, appropriate algorithms, computational methods, and applications are discussed.

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