Polynomial Optimization Methods - Piet van Eeghen
-20% with code BOOKS
Shipping in 15-21 days
30-day return policy
This research is an exposition of ideas and methods that help understanding the problem of minimizing a polynomial over a basic closed semi-algebraic set. After the introduction of some theory on mathematical tools such as sums of squares, nonnegative polynomials and moment matrices, several Positivstellensatze are considered. Positivstellensatze provide sums of squares representations of polynomials, posit ... Full description
You May Also Like
TOP
Six Not-so-easy Pieces: Einstein's Relativity, Symmetry, and Space-Time
Richard P. Feynman, Robert B. Leighton, Matthew Sands
-20% with code BOOKS
In stock at our supplier
TOP
Six Easy Pieces: Essentials of Physics Explained by Its Most Brilliant Teacher
Richard P. Feynman, Robert B. Leighton, Matthew Sands
-20% with code BOOKS
In stock at our supplier
TOP
Behave: The Biology of Humans at Our Best and Worst
-20% with code BOOKS
In stock at our supplier
TOP
Determined: The Science of Life Without Free Will
-20% with code BOOKS
In stock at our supplier
TOP
Beyond Inheritance: Our Ever-Mutating Cells and a New Understanding of Health
-20% with code BOOKS
In stock at our supplier
TOP
The Age of Alchemy: How Early Innovators Shaped Modern Chemistry
-20% with code BOOKS
In stock at our supplier
TOP
The Secrets of our DNA: How Genetics has Changed the World
-20% with code BOOKS
In stock at our supplier
TOP
Why We Sleep: Unlocking the Power of Sleep and Dreams
-20% with code BOOKS
In stock
TOP
Biology: A Global Approach, Global Edition
Neil Campbell, Rebecca Orr, Lisa Urry, Peter Minorsky, Michael Cain, Jane Reece, Steven Wasserman
-20% with code BOOKS
In stock at our supplier
TOP
Why Machines Learn: The Elegant Maths Behind Modern AI
-20% with code BOOKS
In stock at our supplier
TOP
A Short History of Nearly Everything 2.0
-20% with code BOOKS
In stock at our supplier
TOP
Astrophysics for People in a Hurry: Essays on the Universe and Our Place Within It
-20% with code BOOKS
In stock at our supplier
TOP
The Rise and Fall of the Dinosaurs: A New History of a Lost World
-20% with code BOOKS
In stock at our supplier
TOP
The Rise and Reign of the Mammals: A New History, from the Shadow of the Dinosaurs to Us
-20% with code BOOKS
In stock at our supplier
TOP
Learn Faster, Perform Better: A Musician's Guide to the Neuroscience of Practicing
-20% with code BOOKS
In stock at our supplier
TOP
A Brief History of Time: From the Big Bang to Black Holes
-20% with code BOOKS
In stock at our supplier
TOP
Thing Explainer: Complicated Stuff in Simple Words
-20% with code BOOKS
In stock at our supplier
TOP
Introduction to Quantum Mechanics
Darrell F. Schroeter, David J. Griffiths
-20% with code BOOKS
In stock at our supplier
Description
This research is an exposition of ideas and methods that help understanding the problem of minimizing a polynomial over a basic closed semi-algebraic set. After the introduction of some theory on mathematical tools such as sums of squares, nonnegative polynomials and moment matrices, several Positivstellensatze are considered. Positivstellensatze provide sums of squares representations of polynomials, positive on basic closed semi-algebraic sets. Subsequently, semi-de_nite programming methods, in particular based on Putinar's Postivstellensatz, are considered. In order to use semi-de_nite programming, certain degree bounds are set. These bounds give rise to a hierarchy of approximations of the minimum of a polynomial, which will also be discussed. Finally, some new results are given that are obtained by looking at sums of squares representations of a positive polynomial when minimizing over the unit hypercube.
More Information
| Author | Piet van Eeghen |
|---|---|
| Publisher | LAP LAMBERT Academic Publishing |
| Release year | 2017 |
| Cover type | Softcover |
| EAN | 9783330090866 |