Algorithmic Principles Of Mathematical Programming
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Algorithmic Principles Of Mathematical Programming
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Author : Ulrich Faigle
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Algorithmic Principles Of Mathematical Programming written by Ulrich Faigle and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
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.
Algorithmic Principles Of Mathematical Programming
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Author : Ulrich Faigle
language : en
Publisher:
Release Date : 2014-01-15
Algorithmic Principles Of Mathematical Programming written by Ulrich Faigle and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Mathematical Programming
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Author : Michel Minoux
language : en
Publisher: John Wiley & Sons
Release Date : 1986
Mathematical Programming written by Michel Minoux and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
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.
Basics Of Programming And Algorithms Principles And Applications
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Author : Roberto Mantaci
language : en
Publisher: Springer Nature
Release Date :
Basics Of Programming And Algorithms Principles And Applications written by Roberto Mantaci and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Fixed Points
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Author : Stepan Karamardian
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Fixed Points written by Stepan Karamardian and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
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.
Optimization
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Author : Michel Bierlaire
language : en
Publisher:
Release Date : 2018
Optimization written by Michel Bierlaire and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
Mathematical Programming
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Author : Jeremy F. Shapiro
language : en
Publisher: John Wiley & Sons
Release Date : 1979
Mathematical Programming written by Jeremy F. Shapiro and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
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.
Combinatorial And Algorithmic Mathematics
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Author : Baha Alzalg
language : en
Publisher: John Wiley & Sons
Release Date : 2024-10-21
Combinatorial And Algorithmic Mathematics written by Baha Alzalg and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-21 with Technology & Engineering categories.
Detailed review of optimization from first principles, supported by rigorous math and computer science explanations and various learning aids Supported by rigorous math and computer science foundations, Combinatorial and Algorithmic Mathematics: From Foundation to Optimization provides a from-scratch understanding to the field of optimization, discussing 70 algorithms with roughly 220 illustrative examples, 160 nontrivial end-of-chapter exercises with complete solutions to ensure readers can apply appropriate theories, principles, and concepts when required, and Matlab codes that solve some specific problems. This book helps readers to develop mathematical maturity, including skills such as handling increasingly abstract ideas, recognizing mathematical patterns, and generalizing from specific examples to broad concepts. Starting from first principles of mathematical logic, set-theoretic structures, and analytic and algebraic structures, this book covers both combinatorics and algorithms in separate sections, then brings the material together in a final section on optimization. This book focuses on topics essential for anyone wanting to develop and apply their understanding of optimization to areas such as data structures, algorithms, artificial intelligence, machine learning, data science, computer systems, networks, and computer security. Combinatorial and Algorithmic Mathematics includes discussion on: Propositional logic and predicate logic, set-theoretic structures such as sets, relations, and functions, and basic analytic and algebraic structures such as sequences, series, subspaces, convex structures, and polyhedra Recurrence-solving techniques, counting methods, permutations, combinations, arrangements of objects and sets, and graph basics and properties Asymptotic notations, techniques for analyzing algorithms, and computational complexity of various algorithms Linear optimization and its geometry and duality, simplex and non-simplex algorithms for linear optimization, second-order cone programming, and semidefinite programming Combinatorial and Algorithmic Mathematics is an ideal textbook resource on the subject for students studying discrete structures, combinatorics, algorithms, and optimization. It also caters to scientists across diverse disciplines that incorporate algorithms and academics and researchers who wish to better understand some modern optimization methodologies.
Practical Mathematical Optimization
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Author : Jan A Snyman
language : en
Publisher: Springer
Release Date : 2018-05-02
Practical Mathematical Optimization written by Jan A Snyman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-02 with Mathematics categories.
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.
Algorithms And Model Formulations In Mathematical Programming
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Author : Stein W. Wallace
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Algorithms And Model Formulations In Mathematical Programming written by Stein W. Wallace and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
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.