Matrices And Simplex Algorithms

Author : Aaart R. Heesterman
Publisher : Springer
ISBN 13 :
Total Pages : 816 pages
Book Rating : 4.47/5 ( download)

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Download or read book Matrices and Simplex Algorithms written by Aaart R. Heesterman and published by Springer. This book was released on 1983 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Aaart R. Heesterman
Publisher : Springer Science & Business Media
ISBN 13 : 940097941X
Total Pages : 800 pages
Book Rating : 4.13/5 ( download)

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Download or read book Matrices and Simplex Algorithms written by Aaart R. Heesterman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook devoted to mathematical programming algorithms and the mathematics needed to understand such algorithms. It was mainly written for economists, but the mathematics itself obviously has relevance for other disciplines. It is a textbook as well a~ in parts, a contribution to new knowledge. There is, accordingly, a broad ordering of climbing sophistication, the earlier chapters being purely for the student, the later chapters being more specialist and containing some element of novelty on certain points. The book is edited in five parts. Part I deals with elementary matrix operations, matrix inversion, determinants, etc. Part II is mainly devoted to linear programming. As far as students' readability is concerned, these two parts are elementary undergraduate material. However, I would claim, in particular with respect to linear programming, that I do things more efficiently than the standard textbook approach has it. This refers mainly to the search for a feasible solution i.e. Chapter 9, and to upper and lower limits, i.e. Chapter 10. I have also argued that the standard textbook treatment of degeneracy misses a relevant problem, namely that of accuracy. In short, I would invite anyone who has the task of writing or designing an LP-code, to first acquaint himself with my ideas. viii INTRODUCTION Parts III and IV are concerned with nonlinear programming.

Author : Toshinori Munakata
Publisher :
ISBN 13 :
Total Pages : 488 pages
Book Rating : 4.06/5 ( download)

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Download or read book Matrices and Linear Programming with Applications written by Toshinori Munakata and published by . This book was released on 1979 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Art R. Heesterman
Publisher : Springer
ISBN 13 : 9789400979420
Total Pages : 766 pages
Book Rating : 4.28/5 ( download)

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Download or read book Matrices and Simplex Algorithms written by Art R. Heesterman and published by Springer. This book was released on 2011-12-14 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook devoted to mathematical programming algorithms and the mathematics needed to understand such algorithms. It was mainly written for economists, but the mathematics itself obviously has relevance for other disciplines. It is a textbook as well a~ in parts, a contribution to new knowledge. There is, accordingly, a broad ordering of climbing sophistication, the earlier chapters being purely for the student, the later chapters being more specialist and containing some element of novelty on certain points. The book is edited in five parts. Part I deals with elementary matrix operations, matrix inversion, determinants, etc. Part II is mainly devoted to linear programming. As far as students' readability is concerned, these two parts are elementary undergraduate material. However, I would claim, in particular with respect to linear programming, that I do things more efficiently than the standard textbook approach has it. This refers mainly to the search for a feasible solution i.e. Chapter 9, and to upper and lower limits, i.e. Chapter 10. I have also argued that the standard textbook treatment of degeneracy misses a relevant problem, namely that of accuracy. In short, I would invite anyone who has the task of writing or designing an LP-code, to first acquaint himself with my ideas. viii INTRODUCTION Parts III and IV are concerned with nonlinear programming.

Author : A. R. G. Heesterman
Publisher :
ISBN 13 :
Total Pages : 237 pages
Book Rating : 4.09/5 ( download)

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Download or read book Matrices and Simplex Algorithms written by A. R. G. Heesterman and published by . This book was released on 1976 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Howard Karloff
Publisher : Springer Science & Business Media
ISBN 13 : 0817648445
Total Pages : 150 pages
Book Rating : 4.42/5 ( download)

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Download or read book Linear Programming written by Howard Karloff and published by Springer Science & Business Media. This book was released on 2008-10-14 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: To this reviewer’s knowledge, this is the first book accessible to the upper division undergraduate or beginning graduate student that surveys linear programming.... Style is informal. ...Recommended highly for acquisition, since it is not only a textbook, but can also be used for independent reading and study. —Choice Reviews This is a textbook intended for advanced undergraduate or graduate students. It contains both theory and computational practice. —Zentralblatt Math

Author : S. Vajda
Publisher : Springer Science & Business Media
ISBN 13 : 9401169241
Total Pages : 156 pages
Book Rating : 4.40/5 ( download)

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Download or read book Linear Programming written by S. Vajda and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is based on a course of about 16 hours lectures to students of mathematics, statistics, and/or operational research. It is intended to introduce readers to the very wide range of applicability of linear programming, covering problems of manage ment, administration, transportation and a number of other uses which are mentioned in their context. The emphasis is on numerical algorithms, which are illustrated by examples of such modest size that the solutions can be obtained using pen and paper. It is clear that these methods, if applied to larger problems, can also be carried out on automatic (electronic) computers. Commercially available computer packages are, in fact, mainly based on algorithms explained in this book. The author is convinced that the user of these algorithms ought to be knowledgeable about the underlying theory. Therefore this volume is not merely addressed to the practitioner, but also to the mathematician who is interested in relatively new developments in algebraic theory and in some combinatorial theory as well. The chapters on duality, and on flow in networks, are particularly directed towards this aim and they contain theorems which might not be directly relevant to methods of computation. The application of the concept of duality to the theory of games is of historical interest. It is hoped that the figures, which illustrate the results, will be found illuminating by readers with active geometrical imagination.

Author : István Maros
Publisher : Springer Science & Business Media
ISBN 13 : 1461502578
Total Pages : 335 pages
Book Rating : 4.79/5 ( download)

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Download or read book Computational Techniques of the Simplex Method written by István Maros and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Techniques of the Simplex Method is a systematic treatment focused on the computational issues of the simplex method. It provides a comprehensive coverage of the most important and successful algorithmic and implementation techniques of the simplex method. It is a unique source of essential, never discussed details of algorithmic elements and their implementation. On the basis of the book the reader will be able to create a highly advanced implementation of the simplex method which, in turn, can be used directly or as a building block in other solution algorithms.

Author : William Orchard-Hays
Publisher :
ISBN 13 : 9781258662585
Total Pages : 150 pages
Book Rating : 4.82/5 ( download)

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Download or read book Matrices, Elimination and the Simplex Method written by William Orchard-Hays and published by . This book was released on 2013-04 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Michel Sakarovitch
Publisher : Springer Science & Business Media
ISBN 13 : 1475741065
Total Pages : 216 pages
Book Rating : 4.63/5 ( download)

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Download or read book Linear Programming written by Michel Sakarovitch and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: