Handbook on Semidefinite, Conic and Polynomial Optimization

Jean B. Lasserre

ISBN 10: 1461407680 / ISBN 13: 9781461407683

Published by Springer US, Springer US, 2011

About this Item

Druck auf Anfrage Neuware - Printed after ordering - Semidefinite and conic optimization is a major and thriving research area within the optimization community. Although semidefinite optimization has been studied (under different names) since at least the 1940s, its importance grew immensely during the 1990s after polynomial-time interior-point methods for linear optimization were extended to solve semidefinite optimization problems. Since the beginning of the 21st century, not only has research into semidefinite and conic optimization continued unabated, but also a fruitful interaction has developed with algebraic geometry through the close connections between semidefinite matrices and polynomial optimization. This has brought about important new results and led to an even higher level of research activity. This Handbook on Semidefinite, Conic and Polynomial Optimization provides the reader with a snapshot of the state-of-the-art in the growing and mutually enriching areas of semidefinite optimization, conic optimization, and polynomial optimization. It contains a compendium of the recent research activity that has taken place in these thrilling areas, and will appeal to doctoral students, young graduates, and experienced researchers alike. The Handbook's thirty-one chapters are organized into four parts:Theory, covering significant theoretical developments as well as the interactions between conic optimization and polynomial optimization;Algorithms, documenting the directions of current algorithmic development;Software, providing an overview of the state-of-the-art;Applications, dealing with the application areas where semidefinite and conic optimization has made a significant impact in recent years.

Seller Inventory # 9781461407683

Bibliographic Details

• Title: Handbook on Semidefinite, Conic and Polynomial Optimization
• Publisher: Springer US, Springer US
• Publication Date: 2011
• Language: English
• ISBN 10: 1461407680
• ISBN 13: 9781461407683
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 57D millimeters 241 millimeters width by 160 millimeters height by 57 millimeters depth
• Weight: 1601 grams

About this title

Synopsis

Semidefinite and conic optimization is a major and thriving research area within the optimization community. Although semidefinite optimization has been studied (under different names) since at least the 1940s, its importance grew immensely during the 1990s after polynomial-time interior-point methods for linear optimization were extended to solve semidefinite optimization problems.

Since the beginning of the 21st century, not only has research into semidefinite and conic optimization continued unabated, but also a fruitful interaction has developed with algebraic geometry through the close connections between semidefinite matrices and polynomial optimization. This has brought about important new results and led to an even higher level of research activity.

This Handbook on Semidefinite, Conic and Polynomial Optimization provides the reader with a snapshot of the state-of-the-art in the growing and mutually enriching areas of semidefinite optimization, conic optimization, and polynomial optimization. It contains a compendium of the recent research activity that has taken place in these thrilling areas, and will appeal to doctoral students, young graduates, and experienced researchers alike.

The Handbook’s thirty-one chapters are organized into four parts:

• Theory, covering significant theoretical developments as well as the interactions between conic optimization and polynomial optimization;
• Algorithms, documenting the directions of current algorithmic development;
• Software, providing an overview of the state-of-the-art;
• Applications, dealing with the application areas where semidefinite and conic optimization has made a significant impact in recent years.