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Author : Thomas Strömberg
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.3/5 (121 download)
Download or read book The Operation of Infimal Convolution written by Thomas Strömberg and published by . This book was released on 1996 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas Stromberg
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (11 download)
Download or read book The Operation of Infimal Convolution [ Thomas Stromberg written by Thomas Stromberg and published by . This book was released on 1996 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas Strömberg
Publisher :
ISBN 13 :
Total Pages : 4 pages
Book Rating : 4.:/5 (186 download)
Download or read book A Study of the Operation of Infimal Convolution written by Thomas Strömberg and published by . This book was released on 1994 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas Strömberg
Publisher :
ISBN 13 :
Total Pages : 51 pages
Book Rating : 4.:/5 (186 download)
Download or read book On Infimal Convolution and a Related Operation Connected to a Young-type Inequality with Applications written by Thomas Strömberg and published by . This book was released on 1992 with total page 51 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ralph Tyrell Rockafellar
Publisher : Princeton University Press
ISBN 13 : 1400873177
Total Pages : 470 pages
Book Rating : 4.4/5 (8 download)
Download or read book Convex Analysis written by Ralph Tyrell Rockafellar and published by Princeton University Press. This book was released on 2015-04-29 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Available for the first time in paperback, R. Tyrrell Rockafellar's classic study presents readers with a coherent branch of nonlinear mathematical analysis that is especially suited to the study of optimization problems. Rockafellar's theory differs from classical analysis in that differentiability assumptions are replaced by convexity assumptions. The topics treated in this volume include: systems of inequalities, the minimum or maximum of a convex function over a convex set, Lagrange multipliers, minimax theorems and duality, as well as basic results about the structure of convex sets and the continuity and differentiability of convex functions and saddle- functions. This book has firmly established a new and vital area not only for pure mathematics but also for applications to economics and engineering. A sound knowledge of linear algebra and introductory real analysis should provide readers with sufficient background for this book. There is also a guide for the reader who may be using the book as an introduction, indicating which parts are essential and which may be skipped on a first reading.
Author : Kazuo Murota
Publisher :
ISBN 13 :
Total Pages : 7 pages
Book Rating : 4.:/5 (254 download)
Download or read book On Infimal Convolution of M-convex Functions written by Kazuo Murota and published by . This book was released on 2004 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zdzisław Denkowski
Publisher : Springer Science & Business Media
ISBN 13 : 9780306473920
Total Pages : 708 pages
Book Rating : 4.4/5 (739 download)
Download or read book An Introduction to Nonlinear Analysis: Theory written by Zdzisław Denkowski and published by Springer Science & Business Media. This book was released on 2003 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Nonlinear Analysis: Theory is an overview of some basic, important aspects of Nonlinear Analysis, with an emphasis on those not included in the classical treatment of the field. Today Nonlinear Analysis is a very prolific part of modern mathematical analysis, with fascinating theory and many different applications ranging from mathematical physics and engineering to social sciences and economics. Topics covered in this book include the necessary background material from topology, measure theory and functional analysis (Banach space theory). The text also deals with multivalued analysis and basic features of nonsmooth analysis, providing a solid background for the more applications-oriented material of the book An Introduction to Nonlinear Analysis: Applications by the same authors. The book is self-contained and accessible to the newcomer, complete with numerous examples, exercises and solutions. It is a valuable tool, not only for specialists in the field interested in technical details, but also for scientists entering Nonlinear Analysis in search of promising directions for research.
Author : Jean-Baptiste Hiriart-Urruty
Publisher : Springer Science & Business Media
ISBN 13 : 3540568506
Total Pages : 442 pages
Book Rating : 4.5/5 (45 download)
Download or read book Convex Analysis and Minimization Algorithms I written by Jean-Baptiste Hiriart-Urruty and published by Springer Science & Business Media. This book was released on 1996-10-30 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convex Analysis may be considered as a refinement of standard calculus, with equalities and approximations replaced by inequalities. As such, it can easily be integrated into a graduate study curriculum. Minimization algorithms, more specifically those adapted to non-differentiable functions, provide an immediate application of convex analysis to various fields related to optimization and operations research. These two topics making up the title of the book, reflect the two origins of the authors, who belong respectively to the academic world and to that of applications. Part I can be used as an introductory textbook (as a basis for courses, or for self-study); Part II continues this at a higher technical level and is addressed more to specialists, collecting results that so far have not appeared in books.
Author : Panos M. Pardalos
Publisher : Springer Science & Business Media
ISBN 13 : 146143498X
Total Pages : 898 pages
Book Rating : 4.4/5 (614 download)
Download or read book Nonlinear Analysis written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2012-06-02 with total page 898 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume will consist of about 40 articles written by some very influential mathematicians of our time and will expose the latest achievements in the broad area of nonlinear analysis and its various interdisciplinary applications.
Author : Ivan Zelinka
Publisher : Springer Science & Business Media
ISBN 13 : 3642305040
Total Pages : 1088 pages
Book Rating : 4.6/5 (423 download)
Download or read book Handbook of Optimization written by Ivan Zelinka and published by Springer Science & Business Media. This book was released on 2012-09-26 with total page 1088 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization problems were and still are the focus of mathematics from antiquity to the present. Since the beginning of our civilization, the human race has had to confront numerous technological challenges, such as finding the optimal solution of various problems including control technologies, power sources construction, applications in economy, mechanical engineering and energy distribution amongst others. These examples encompass both ancient as well as modern technologies like the first electrical energy distribution network in USA etc. Some of the key principles formulated in the middle ages were done by Johannes Kepler (Problem of the wine barrels), Johan Bernoulli (brachystochrone problem), Leonhard Euler (Calculus of Variations), Lagrange (Principle multipliers), that were formulated primarily in the ancient world and are of a geometric nature. In the beginning of the modern era, works of L.V. Kantorovich and G.B. Dantzig (so-called linear programming) can be considered amongst others. This book discusses a wide spectrum of optimization methods from classical to modern, alike heuristics. Novel as well as classical techniques is also discussed in this book, including its mutual intersection. Together with many interesting chapters, a reader will also encounter various methods used for proposed optimization approaches, such as game theory and evolutionary algorithms or modelling of evolutionary algorithm dynamics like complex networks.
Author : Jean-Baptiste Hiriart-Urruty
Publisher : Springer Science & Business Media
ISBN 13 : 3642564682
Total Pages : 268 pages
Book Rating : 4.6/5 (425 download)
Download or read book Fundamentals of Convex Analysis written by Jean-Baptiste Hiriart-Urruty and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an abridged version of the two volumes "Convex Analysis and Minimization Algorithms I and II" (Grundlehren der mathematischen Wissenschaften Vol. 305 and 306). It presents an introduction to the basic concepts in convex analysis and a study of convex minimization problems (with an emphasis on numerical algorithms). The "backbone" of bot volumes was extracted, some material deleted which was deemed too advanced for an introduction, or too closely attached to numerical algorithms. Some exercises were included and finally the index has been considerably enriched, making it an excellent choice for the purpose of learning and teaching.
Author : Elimhan N Mahmudov
Publisher : Elsevier
ISBN 13 : 0123884284
Total Pages : 396 pages
Book Rating : 4.1/5 (238 download)
Download or read book Approximation and Optimization of Discrete and Differential Inclusions written by Elimhan N Mahmudov and published by Elsevier. This book was released on 2011-08-25 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal control theory has numerous applications in both science and engineering. This book presents basic concepts and principles of mathematical programming in terms of set-valued analysis and develops a comprehensive optimality theory of problems described by ordinary and partial differential inclusions. In addition to including well-recognized results of variational analysis and optimization, the book includes a number of new and important ones Includes practical examples
Author : Zdzislaw Denkowski
Publisher : Springer Science & Business Media
ISBN 13 : 1441991581
Total Pages : 699 pages
Book Rating : 4.4/5 (419 download)
Download or read book An Introduction to Nonlinear Analysis: Theory written by Zdzislaw Denkowski and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 699 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Nonlinear Analysis: Theory is an overview of some basic, important aspects of Nonlinear Analysis, with an emphasis on those not included in the classical treatment of the field. Today Nonlinear Analysis is a very prolific part of modern mathematical analysis, with fascinating theory and many different applications ranging from mathematical physics and engineering to social sciences and economics. Topics covered in this book include the necessary background material from topology, measure theory and functional analysis (Banach space theory). The text also deals with multivalued analysis and basic features of nonsmooth analysis, providing a solid background for the more applications-oriented material of the book An Introduction to Nonlinear Analysis: Applications by the same authors. The book is self-contained and accessible to the newcomer, complete with numerous examples, exercises and solutions. It is a valuable tool, not only for specialists in the field interested in technical details, but also for scientists entering Nonlinear Analysis in search of promising directions for research.
Author : Mats Gyllenberg
Publisher : CRC Press
ISBN 13 : 9780824792176
Total Pages : 430 pages
Book Rating : 4.7/5 (921 download)
Download or read book Analysis written by Mats Gyllenberg and published by CRC Press. This book was released on 1994-04-19 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Presenting the proceedings of the twenty-first Nordic Congress of Mathematicians at Lulearing; University of Technology, Sweden, this outstanding reference discusses recent advances in analysis, algebra, stochastic processes, and the use of computers in mathematical research."
Author : Nikolaos S. Papageorgiou
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3111288323
Total Pages : 1003 pages
Book Rating : 4.1/5 (112 download)
Download or read book Applied Nonlinear Functional Analysis written by Nikolaos S. Papageorgiou and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-07-01 with total page 1003 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition covers the introduction to the main mathematical tools of nonlinear functional analysis, which are also used in the study of concrete problems in economics, engineering, and physics. The new edition includes some new topics on Banach spaces of functions and measures and nonlinear analysis.
Author : Edward J. Anderson
Publisher : Springer Science & Business Media
ISBN 13 : 3642465641
Total Pages : 262 pages
Book Rating : 4.6/5 (424 download)
Download or read book Infinite Programming written by Edward J. Anderson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinite programming may be defined as the study of mathematical programming problems in which the number of variables and the number of constraints are both possibly infinite. Many optimization problems in engineering, operations research, and economics have natural formul- ions as infinite programs. For example, the problem of Chebyshev approximation can be posed as a linear program with an infinite number of constraints. Formally, given continuous functions f,gl,g2, ••• ,gn on the interval [a,b], we can find the linear combination of the functions gl,g2, ... ,gn which is the best uniform approximation to f by choosing real numbers a,xl,x2, •.. ,x to n minimize a t€ [a,b]. This is an example of a semi-infinite program; the number of variables is finite and the number of constraints is infinite. An example of an infinite program in which the number of constraints and the number of variables are both infinite, is the well-known continuous linear program which can be formulated as follows. T minimize ~ c(t)Tx(t)dt t b(t) , subject to Bx(t) + fo Kx(s)ds x(t) .. 0, t € [0, T] • If x is regarded as a member of some infinite-dimensional vector space of functions, then this problem is a linear program posed over that space. Observe that if the constraint equations are differentiated, then this problem takes the form of a linear optimal control problem with state IV variable inequality constraints.
Author : M.A.H. Dempster
Publisher : CRC Press
ISBN 13 : 1420081926
Total Pages : 488 pages
Book Rating : 4.4/5 (2 download)
Download or read book Quantitative Fund Management written by M.A.H. Dempster and published by CRC Press. This book was released on 2008-12-22 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: The First Collection That Covers This Field at the Dynamic Strategic and One-Period Tactical Levels. Addressing the imbalance between research and practice, Quantitative Fund Management presents leading-edge theory and methods, along with their application in practical problems encountered in the fund management industry. A Current Snapshot of State-of-the-Art Applications of Dynamic Stochastic Optimization Techniques to Long-Term Financial Planning - The first part of the book initially looks at how the quantitative techniques of the equity industry are shifting from basic Markowitz mean-variance portfolio optimization to risk management and trading applications. This section also explores novel aspects of lifetime individual consumption investment problems, fixed-mix portfolio rebalancing allocation strategies, debt management for funding mortgages and national debt, and guaranteed return fund construction. Up-to-Date Overview of Tactical Financial Planning and Risk Management - The second section covers nontrivial computational approaches to tactical fund management. This part focuses on portfolio construction and risk management at the individual security or fund manager level over the period up to the next portfolio rebalance. It discusses non-Gaussian returns, new risk-return tradeoffs, and the robustness of benchmarks and portfolio decisions. The Future Use of Quantitative Techniques in Fund Management - With contributions from well-known academics and practitioners, this volume will undoubtedly foster the recognition and wider acceptance of stochastic optimization techniques in financial practice.
