Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorTuy, Hoang. author
TitleConvex Analysis and Global Optimization [electronic resource] / by Hoang Tuy
ImprintBoston, MA : Springer US : Imprint: Springer, 1998
Connect tohttp://dx.doi.org/10.1007/978-1-4757-2809-5
Descript XII, 340 p. online resource

SUMMARY

Due to the general complementary convex structure underlying most nonconvex optimization problems encountered in applications, convex analysis plays an essential role in the development of global optimization methods. This book develops a coherent and rigorous theory of deterministic global optimization from this point of view. Part I constitutes an introduction to convex analysis, with an emphasis on concepts, properties and results particularly needed for global optimization, including those pertaining to the complementary convex structure. Part II presents the foundation and application of global search principles such as partitioning and cutting, outer and inner approximation, and decomposition to general global optimization problems and to problems with a low-rank nonconvex structure as well as quadratic problems. Much new material is offered, aside from a rigorous mathematical development. Audience: The book is written as a text for graduate students in engineering, mathematics, operations research, computer science and other disciplines dealing with optimization theory. It is also addressed to all scientists in various fields who are interested in mathematical optimization


CONTENT

I Convex Analysis -- 1 Convex Sets -- 2 Convex Functions -- 3 D.C. Functions and D.C. Sets -- II Global Optimization -- 4 Motivation and Overview -- 5 Successive Partitioning Methods -- 6 Outer and Inner Approximation -- 7 Decomposition -- 8 Nonconvex Quadratic Programming -- References


Mathematics Business Management science Computers Numerical analysis Mathematical models Calculus of variations Mathematics Calculus of Variations and Optimal Control; Optimization Numeric Computing Mathematical Modeling and Industrial Mathematics Theory of Computation Business and Management general



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram