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Large-Scale Optimization with Applications

Author: Lorenz T. Biegler

Publisher: Springer

Published: 2012-10-23

Total Pages: 324

ISBN-13: 9781461273561

With contributions by specialists in optimization and practitioners in the fields of aerospace engineering, chemical engineering, and fluid and solid mechanics, the major themes include an assessment of the state of the art in optimization algorithms as well as challenging applications in design and control, in the areas of process engineering and systems with partial differential equation models.

Large-Scale Optimization with Applications

Author: Lorenz T. Biegler

Publisher: Springer

Published: 1997-08-07

Total Pages: 0

ISBN-13: 9780387982878

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Large-Scale Optimization with Applications

Author: Lorenz T. Biegler

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 219

ISBN-13: 1461219620

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Large-Scale Optimization with Applications

Author:

Publisher: Springer Science & Business Media

Published: 1997

Total Pages: 246

ISBN-13: 9780387982861

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Large-scale Optimization with Applications

Author: Lorenz T. Biegler

Publisher:

Published: 1997

Total Pages:

ISBN-13:

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Approximation and Optimization

Author: Ioannis C. Demetriou

Publisher: Springer

Published: 2019-05-10

Total Pages: 237

ISBN-13: 3030127672

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This book focuses on the development of approximation-related algorithms and their relevant applications. Individual contributions are written by leading experts and reflect emerging directions and connections in data approximation and optimization. Chapters discuss state of the art topics with highly relevant applications throughout science, engineering, technology and social sciences. Academics, researchers, data science practitioners, business analysts, social sciences investigators and graduate students will find the number of illustrations, applications, and examples provided useful. This volume is based on the conference Approximation and Optimization: Algorithms, Complexity, and Applications, which was held in the National and Kapodistrian University of Athens, Greece, June 29–30, 2017. The mix of survey and research content includes topics in approximations to discrete noisy data; binary sequences; design of networks and energy systems; fuzzy control; large scale optimization; noisy data; data-dependent approximation; networked control systems; machine learning ; optimal design; no free lunch theorem; non-linearly constrained optimization; spectroscopy.

Large-Scale PDE-Constrained Optimization

Author: Lorenz T. Biegler

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 347

ISBN-13: 364255508X

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Optimal design, optimal control, and parameter estimation of systems governed by partial differential equations (PDEs) give rise to a class of problems known as PDE-constrained optimization. The size and complexity of the discretized PDEs often pose significant challenges for contemporary optimization methods. With the maturing of technology for PDE simulation, interest has now increased in PDE-based optimization. The chapters in this volume collectively assess the state of the art in PDE-constrained optimization, identify challenges to optimization presented by modern highly parallel PDE simulation codes, and discuss promising algorithmic and software approaches for addressing them. These contributions represent current research of two strong scientific computing communities, in optimization and PDE simulation. This volume merges perspectives in these two different areas and identifies interesting open questions for further research.

Optimal Design and Control of Distributed Parameter Systems

Author:

Publisher:

Published: 1991

Total Pages: 5

ISBN-13:

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Research has been conducted on nonlinear optimization in the areas of (1) dual based methods and decomposition; (2) regularization and approximation techniques; (3) nonsmooth optimization and (4) algorithms development for large- scale optimization. The methods developed are applicable to a wide range of important applications including; optimal shape design, structural optimization, and image reconstruction.

Large-Scale Optimization with Applications

Author: Lorenz T. Biegler

Publisher: Springer

Published: 2011-10-06

Total Pages: 207

ISBN-13: 9781461206941

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Large-scale Optimization

Author: Vladimir Tsurkov

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 322

ISBN-13: 1475732430

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Decomposition methods aim to reduce large-scale problems to simpler problems. This monograph presents selected aspects of the dimension-reduction problem. Exact and approximate aggregations of multidimensional systems are developed and from a known model of input-output balance, aggregation methods are categorized. The issues of loss of accuracy, recovery of original variables (disaggregation), and compatibility conditions are analyzed in detail. The method of iterative aggregation in large-scale problems is studied. For fixed weights, successively simpler aggregated problems are solved and the convergence of their solution to that of the original problem is analyzed. An introduction to block integer programming is considered. Duality theory, which is widely used in continuous block programming, does not work for the integer problem. A survey of alternative methods is presented and special attention is given to combined methods of decomposition. Block problems in which the coupling variables do not enter the binding constraints are studied. These models are worthwhile because they permit a decomposition with respect to primal and dual variables by two-level algorithms instead of three-level algorithms. Audience: This book is addressed to specialists in operations research, optimization, and optimal control.