Interior Point Approach to Linear, Quadratic and Convex Programming, D. den Hertog

Автор: John Reyn
Название: Phase Portraits of Planar Quadratic Systems
ISBN: 1441940243 ISBN-13(EAN): 9781441940247
Издательство: Springer
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Цена: 32004.00 р.
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Описание: This book attempts to give a presentation of the advance of our knowledge of phase portraits of quadratic systems, paying special attention to the historical development of the subject. This the only book that organizes the portraits into classes, using the notions of finite and infinite multiplicity and finite and infinite index.

Автор: Zeraoulia Elhadj Et Al
Название: 2-D Quadratic Maps And 3-D Ode Systems: A Rigorous Approach
ISBN: 9814307742 ISBN-13(EAN): 9789814307741
Издательство: World Scientific Publishing
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Цена: 17107.00 р.
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Описание: This book is based on research on the rigorous proof of chaos and bifurcations in 2-D quadratic maps, especially the invertible case such as the H non map, and in 3-D ODE's, especially piecewise linear systems such as the Chua's circuit. In addition, the book covers some recent works in the field of general 2-D quadratic maps, especially their classification into equivalence classes, and finding regions for chaos, hyperchaos, and non-chaos in the space of bifurcation parameters.Following the main introduction to the rigorous tools used to prove chaos and bifurcations in the two representative systems, is the study of the invertible case of the 2-D quadratic map, where previous works are oriented toward H non mapping. 2-D quadratic maps are then classified into 30 maps with well-known formulas. Two proofs on the regions for chaos, hyperchaos, and non-chaos in the space of the bifurcation parameters are presented using a technique based on the second-derivative test and bounds for Lyapunov exponents. Also included is the proof of chaos in the piecewise linear Chua's system using two methods, the first of which is based on the construction of Poincar map, and the second is based on a computer-assisted proof. Finally, a rigorous analysis is provided on the bifurcational phenomena in the piecewise linear Chua's system using both an analytical 2-D mapping and a 1-D approximated Poincar mapping in addition to other analytical methods.

Автор: Farrukh Mukhamedov; Nasir Ganikhodjaev
Название: Quantum Quadratic Operators and Processes
ISBN: 3319228366 ISBN-13(EAN): 9783319228365
Издательство: Springer
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Цена: 6288.00 р.
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Описание: Covering both classical and quantum approaches, this unique and self-contained book presents the most recent developments in the theory of quadratic stochastic operators and their Markov and related processes.

Автор: E. Cela
Название: The Quadratic Assignment Problem
ISBN: 0792348788 ISBN-13(EAN): 9780792348788
Издательство: Springer
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Цена: 25149.00 р.
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Описание: Presents a general overview of the different aspects of the QAP, as well as outlining several research directions which seem to be promising. This book gives a presentation of various results scattered in the literature, such as: bounding techniques and exact solution methods, linearisations, heuristic approaches and computational complexity.

Автор: Jean-Baptiste Hiriart-Urruty; Claude Lemarechal
Название: Convex Analysis and Minimization Algorithms I
ISBN: 3642081614 ISBN-13(EAN): 9783642081613
Издательство: Springer
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Цена: 12577.00 р.
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Описание: This book covers the fundamentals of convex analysis, a refinement of standard calculus with equalities and approximations replaced by inequalities. Reviews minimization algorithms, which provide immediate application to optimization and operations research.

Автор: Nicolas Hadjisavvas; Panos M. Pardalos
Название: Advances in Convex Analysis and Global Optimization
ISBN: 0792369424 ISBN-13(EAN): 9780792369424
Издательство: Springer
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Цена: 25155.00 р.
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Описание: A conference on Convex Analysis and Global Optimization was held in 2000 in Greece in honour of the memory of C. Caratheodory (1873-1950). This volume contains a selection of papers based on talks presented at the conference. The two themes of convexity and global optimization pervade the book.

Автор: Roman G. Strongin; Yaroslav D. Sergeyev
Название: Global Optimization with Non-Convex Constraints
ISBN: 0792364902 ISBN-13(EAN): 9780792364900
Издательство: Springer
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Цена: 43184.00 р.
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Описание: Presents a new approach to global non-convex constrained optimization. Problem dimensionality is reduced via space-filling curves and to economize the search, constraint is accounted separately (penalties are not employed). The multicriteria case is also considered.

Автор: Toru Maruyama; Wataru Takahashi
Название: Nonlinear and Convex Analysis in Economic Theory
ISBN: 3540587675 ISBN-13(EAN): 9783540587675
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This collection of articles illuminates the interaction between economic theory and mathematical analysis. It covers nonlinear dynamical systems and business fluctuations, fixed point theory, convex analysis, stochastic analysis and financial markets, and general equilibrium analysis.