Ditemukan 5 dokumen yang sesuai dengan query
Ben-Tal, Aharon
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Here is a book devoted to well-structured and thus efficiently solvable convex optimization problems, with emphasis on conic quadratic and semidefinite programming. The authors present the basic theory underlying these problems as well as their numerous applications in engineering, including synthesis of filters, Lyapunov stability analysis, and structural design. The authors also discuss the complexity issues and provide an overview of the basic theory of state-of-the-art polynomial time interior point methods for linear, conic quadratic, ...
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Philadelphia : Society for Industrial and Applied Mathematics, 2001
e20442917
eBooks Universitas Indonesia Library
Nesterov, Yurii
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Written for specialists working in optimization, mathematical programming, or control theory. The general theory of path-following and potential reduction interior point polynomial time methods, interior point methods, interior point methods for linear and quadratic programming, polynomial time methods for nonlinear convex programming, efficient computation methods for control problems and variational inequalities, and acceleration of path-following methods are covered.
In this book, the authors describe the first unified theory of polynomial-time interior-point methods. Their approach provides ...
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Philadelphia: Society for Industrial and Applied Mathematics, 1994
e20448479
eBooks Universitas Indonesia Library
Renegar, James
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This compact book, through the simplifying perspective it presents, will take a reader who knows little of interior-point methods to within sight of the research frontier, developing key ideas that were over a decade in the making by numerous interior-point method researchers. It aims at developing a thorough understanding of the most general theory for interior-point methods, a class of algorithms for convex optimization problems. The study of these algorithms has dominated the continuous optimization ...
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Philadelphia : Society for Industrial and Applied Mathematics, 2001
e20442761
eBooks Universitas Indonesia Library
Fathi, Mohammad
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This textbook provides students, researchers, and engineers in the area of electrical engineering with advanced mathematical optimization methods. Presented in a readable format, this book highlights fundamental concepts of advanced optimization used in electrical engineering. Chapters provide a collection that ranges from simple yet important concepts such as unconstrained optimization to highly advanced topics such as linear matrix inequalities and artificial intelligence-based optimization methodologies. The reader is motivated to engage with the content via ...
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Switzerland: Springer Nature, 2019
e20509351
eBooks Universitas Indonesia Library
Barbu, Viorel
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This book provides a self-contained presentation of basic results of the theory of convex sets and functions in infinite-dimensional spaces. The main emphasis is on applications to convex optimization and convex optimal control problems in Banach spaces. A distinctive feature is a strong emphasis on the connection between theory and application. This edition has been updated to include new results pertaining to advanced concepts of subdifferential for convex functions and new duality results in convex ...
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Dordrecht, Netherlands: Springer, 2012
e20401364
eBooks Universitas Indonesia Library