Algorithmic Principles Of Mathematical Programming PDF Download
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Author | : Ulrich Faigle |
Publisher | : Springer Science & Business Media |
Total Pages | : 343 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 9401598967 |
Download Algorithmic Principles of Mathematical Programming Book in PDF, ePub and Kindle
Algorithmic Principles of Mathematical Programming investigates the mathematical structures and principles underlying the design of efficient algorithms for optimization problems. Recent advances in algorithmic theory have shown that the traditionally separate areas of discrete optimization, linear programming, and nonlinear optimization are closely linked. This book offers a comprehensive introduction to the whole subject and leads the reader to the frontiers of current research. The prerequisites to use the book are very elementary. All the tools from numerical linear algebra and calculus are fully reviewed and developed. Rather than attempting to be encyclopedic, the book illustrates the important basic techniques with typical problems. The focus is on efficient algorithms with respect to practical usefulness. Algorithmic complexity theory is presented with the goal of helping the reader understand the concepts without having to become a theoretical specialist. Further theory is outlined and supplemented with pointers to the relevant literature.
Author | : Ulrich Faigle |
Publisher | : |
Total Pages | : 352 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9789401598972 |
Download Algorithmic Principles of Mathematical Programming Book in PDF, ePub and Kindle
Author | : Michel Minoux |
Publisher | : John Wiley & Sons |
Total Pages | : 526 |
Release | : 1986 |
Genre | : Mathematics |
ISBN | : |
Download Mathematical Programming Book in PDF, ePub and Kindle
This comprehensive work covers the whole field of mathematical programming, including linear programming, unconstrained and constrained nonlinear programming, nondifferentiable (or nonsmooth) optimization, integer programming, large scale systems optimization, dynamic programming, and optimization in infinite dimensions. Special emphasis is placed on unifying concepts such as point-to-set maps, saddle points and perturbations functions, duality theory and its extensions.
Author | : Jeremy F. Shapiro |
Publisher | : John Wiley & Sons |
Total Pages | : 410 |
Release | : 1979 |
Genre | : Mathematics |
ISBN | : |
Download Mathematical Programming Book in PDF, ePub and Kindle
Linear programming; Linear programming duality and sensitivity analysis; Network optimization problems; Shortest route and discrete dynamic programming problems; Mathematical programming duality theory and its relationship to convexity; Nondifferentiable optimization and large-scale linear programming; Nonlinear programming; Integer programming and combinatorial optimization.
Author | : Stepan Karamardian |
Publisher | : Academic Press |
Total Pages | : 505 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483261131 |
Download Fixed Points Book in PDF, ePub and Kindle
Fixed Points: Algorithms and Applications covers the proceedings of the First International Conference on Computing Fixed Points with Applications, held in the Department of Mathematical Sciences at Clemson University, Clemson, South Carolina on June 26-28, 1974. This book is composed of 21 chapters and starts with reviews of finding roots of polynomials by pivoting procedures and the relations between convergence and labeling in approximation algorithm. The next chapters deal with the principles of complementary pivot theory and the Markovian decision chains; the method of continuation for Brouwer fixed point calculation; a fixed point approach to stability in cooperative games; and computation of fixed points in a nonconvex region. Other chapters discuss a computational comparison of fixed point algorithms, the fundamentals of union jack triangulations, and some aspects of Mann’s iterative method for approximating fixed points. The final chapters consider the application of fixed point algorithms to the analysis of tax policies and the pricing for congestion in telephone networks. This book will prove useful to mathematicians, computer scientists, and advance mathematics students.
Author | : Stein W. Wallace |
Publisher | : Springer Science & Business Media |
Total Pages | : 199 |
Release | : 2012-12-06 |
Genre | : Computers |
ISBN | : 3642837247 |
Download Algorithms and Model Formulations in Mathematical Programming Book in PDF, ePub and Kindle
The NATO Advanced Research Workshop (ARW) "Algorithms and Model Formulations in Mathematical Programming" was held at Chr. Michelsen Institute in Bergen, Norway, from June 15 to June 19, 1987. The ARW was organized on behalf of the Committee on Algorithms (COAL) of the Mathematical Programming Society (MPS). Co-directors were Jan Telgen (Van Dien+Co Organisatie, Utrecht, The Netherlands) and Roger J-B Wets (The University of California at Davis, USA). 43 participants from 11 countries attended the ARW. The workshop was organized such that each day started with a - minute keynote presentation, followed by a 45-minute plenary discussion. The first part of this book contains the contributions of the five keynote speakers. The plenary discussions were taped, and the transcripts given to the keynote speakers. They have treated the transcripts differently, some by working the discussions into their papers, others by adding a section which sums up the discussions. The plenary discussions were very interesting and stimulating due to active participation of the audience. The five keynote speakers were asked to view the topic of the workshop, the interaction between algorithms and model formulations, from different perspectives. On the first day of the workshop Professor Alexander H.G. Rinnooy Kan (Erasmus University, Rotterdam, The Netherlands) put the theme into a larger context by his talk "Mathematical programming as an intellectual activity". This is an article of importance to any mathematical programmer who is interested in his field's history and present state.
Author | : Michel Bierlaire |
Publisher | : |
Total Pages | : 718 |
Release | : 2018 |
Genre | : |
ISBN | : 9782889152797 |
Download Optimization Book in PDF, ePub and Kindle
Author | : Stefan Hougardy |
Publisher | : Springer |
Total Pages | : 167 |
Release | : 2016-10-14 |
Genre | : Computers |
ISBN | : 3319395580 |
Download Algorithmic Mathematics Book in PDF, ePub and Kindle
Algorithms play an increasingly important role in nearly all fields of mathematics. This book allows readers to develop basic mathematical abilities, in particular those concerning the design and analysis of algorithms as well as their implementation. It presents not only fundamental algorithms like the sieve of Eratosthenes, the Euclidean algorithm, sorting algorithms, algorithms on graphs, and Gaussian elimination, but also discusses elementary data structures, basic graph theory, and numerical questions. In addition, it provides an introduction to programming and demonstrates in detail how to implement algorithms in C++. This textbook is suitable for students who are new to the subject and covers a basic mathematical lecture course, complementing traditional courses on analysis and linear algebra. Both authors have given this "Algorithmic Mathematics" course at the University of Bonn several times in recent years.
Author | : Aaart R. Heesterman |
Publisher | : Springer |
Total Pages | : 816 |
Release | : 1983 |
Genre | : Business & Economics |
ISBN | : |
Download Matrices and Simplex Algorithms Book in PDF, ePub and Kindle
This book provides an introduction to the theory and application of a range of mathematical programming algorithms, a nd to the prerequisite fields of linear algebra and the graphical presentation of a number of rational functions. The algorithms offered cover matrix inversion, linear programming, quadratic programming with linear side-conditions, quadratic programming with quadratic side-conditions, and integer programming. The resolution of mixed systems of equations and inequalities; systems with sign-constrained and free variables; and the accommodation of upper and lower limbs in specified variables without explicitly written restrictions are discussed, for linear programming, as well as for quadratic programming with linear side-conditions. Of the algorithms provided, the sequentially constrained maximization method for solving the general quantitive programming problem is, in part, novel. The other algorithms are, in outline, established methods. There is however, a more direct approach to the problem of the infeasible starting solution and, as a result, a less rigid separation between the traditional I and II than is usual.
Author | : Jan A Snyman |
Publisher | : Springer |
Total Pages | : 388 |
Release | : 2018-05-02 |
Genre | : Mathematics |
ISBN | : 3319775863 |
Download Practical Mathematical Optimization Book in PDF, ePub and Kindle
This book presents basic optimization principles and gradient-based algorithms to a general audience, in a brief and easy-to-read form. It enables professionals to apply optimization theory to engineering, physics, chemistry, or business economics.