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Semidefinite optimization and convex algebraic geometry
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Catalogue Information
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Details
Dewey Class
516.35
Title
Semidefinite optimization and convex algebraic geometry (M) / edited by Grigoriy Blekherman; Pablo A. Parrilo; Rekha R. Thomas
Author
Blekherman, Grigoriy
Added Personal Name
Blekherman, Grigoriy
Parrilo, Pablo A.
Thomas, Rekha R. , 1967-
Publication
Philadelphia, Pa. : Society for Industrial and Applied Mathematics , 2013
Physical Details
XIX, 476 pages : ill. ; 24 cm.
Series
MOS-SIAM series on optimization
; 13
ISBN
978-1-611972-28-3
Summary Note
This book provides a self-contained, accessible introduction to the mathematical advances and challenges resulting from the use of semidefinite programming in polynomial optimization. This important and highly applicable research area with contributions from convex geometry, algebraic geometry, and optimization is known as convex algebraic geometry. Each chapter addresses a fundamental aspect of the topic, beginning with an introduction to nonnegative polynomials and sums of squares, and their connections to semidefinite programming. The material quickly advances to areas at the forefront of current research, including semidefinite representability of convex sets, duality theory in algebraic geometry, and nontraditional topics such as sums of squares of complex forms. The book is a suitable entry point to the subject for readers at the graduate level or above in mathematics, engineering or computer science. Instructors will find the book appropriate for a class or seminar, and researchers will encounter open problems and new research directions.:
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Subject References:
Convex geometry
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Geometry, Algebraic
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Semidefinite programming
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Authors:
Blekherman, Grigoriy
.
Parrilo, Pablo A.
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Thomas, Rekha R. 1967-
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Series:
MOS-SIAM series on optimization
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Classification:
516.35
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516.35 (DDC 23)
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0000000044168
512.7 BLE
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