Matrices And Mathematical Programming
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Matrices And Mathematical Programming
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Author : Nicholas Rau
language : en
Publisher:
Release Date : 1981
Matrices And Mathematical Programming written by Nicholas Rau and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Algebras, Linear categories.
Cones Matrices And Mathematical Programming
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Author : Abraham Berman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Cones Matrices And Mathematical Programming written by Abraham Berman 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 Mathematics categories.
This monograph is a revised set of notes on recent applications of the theory of cones, arising from lectures I gave during my stay at the Centre de recherches mathematiques in Montreal. It consists of three chapters. The first describes the basic theory. The second is devoted to applications to mathematical programming and the third to matrix theory. The second and third chapters are independent. Natural links between them, such as mathematical programming over matrix cones, are only mentioned in passing. The choice of applications described in this paper is a reflection of my p«r9onal interests, for examples, the complementarity problem and iterative methods for singular systems. The paper definitely does not contain all the applications which fit its title. The same remark holds for the list of references. Proofs are omitted or sketched briefly unless they are very simple. However, I have tried to include proofs of results which are not widely available, e.g. results in preprints or reports, and proofs, based on the theory of cones, of classical theorems. This monograph benefited from helpful discussions with professors Abrams, Barker, Cottle, Fan, Plemmons, Schneider, Taussky and Varga.
Nonnegative Matrices In The Mathematical Sciences
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Author : Abraham Berman
language : en
Publisher: Academic Press
Release Date : 2014-05-10
Nonnegative Matrices In The Mathematical Sciences written by Abraham Berman 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.
Nonnegative Matrices in the Mathematical Sciences provides information pertinent to the fundamental aspects of the theory of nonnegative matrices. This book describes selected applications of the theory to numerical analysis, probability, economics, and operations research. Organized into 10 chapters, this book begins with an overview of the properties of nonnegative matrices. This text then examines the inverse-positive matrices. Other chapters consider the basic approaches to the study of nonnegative matrices, namely, geometrical and combinatorial. This book discusses as well some useful ideas from the algebraic theory of semigroups and considers a canonical form for nonnegative idempotent matrices and special types of idempotent matrices. The final chapter deals with the linear complementary problem (LCP). This book is a valuable resource for mathematical economists, mathematical programmers, statisticians, mathematicians, and computer scientists.
Matrices And Simplex Algorithms
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Author : Aaart R. Heesterman
language : en
Publisher: Springer
Release Date : 1983
Matrices And Simplex Algorithms written by Aaart R. Heesterman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Business & Economics categories.
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.
Matrices And Simplex Algorithms
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Author : Art R. Heesterman
language : en
Publisher: Springer
Release Date : 2011-12-14
Matrices And Simplex Algorithms written by Art R. Heesterman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-14 with Computers categories.
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.
Matrices And Mathematical Programming
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Author : Albert George Holzman
language : en
Publisher:
Release Date : 1962
Matrices And Mathematical Programming written by Albert George Holzman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Industrial management categories.
An Introduction To Matrices Vectors And Linear Programming
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Author : Hugh G. Campbell
language : en
Publisher:
Release Date : 1965
An Introduction To Matrices Vectors And Linear Programming written by Hugh G. Campbell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Linear programming categories.
Mathematical Programming
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Author : Melvyn Jeter
language : en
Publisher: Routledge
Release Date : 2018-05-03
Mathematical Programming written by Melvyn Jeter and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-03 with Business & Economics categories.
This book serves as an introductory text in mathematical programming and optimization for students having a mathematical background that includes one semester of linear algebra and a complete calculus sequence. It includes computational examples to aid students develop computational skills.
The Linear Complementarity Problem
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Author : Richard W. Cottle
language : en
Publisher: SIAM
Release Date : 2009-08-27
The Linear Complementarity Problem written by Richard W. Cottle and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-27 with Mathematics categories.
A revised edition of the standard reference on the linear complementarity problem.
A Unified Approach To Interior Point Algorithms For Linear Complementarity Problems
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Author : Masakazu Kojima
language : en
Publisher: Springer Science & Business Media
Release Date : 1991-09-25
A Unified Approach To Interior Point Algorithms For Linear Complementarity Problems written by Masakazu Kojima 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 1991-09-25 with Language Arts & Disciplines categories.
Following Karmarkar's 1984 linear programming algorithm, numerous interior-point algorithms have been proposed for various mathematical programming problems such as linear programming, convex quadratic programming and convex programming in general. This monograph presents a study of interior-point algorithms for the linear complementarity problem (LCP) which is known as a mathematical model for primal-dual pairs of linear programs and convex quadratic programs. A large family of potential reduction algorithms is presented in a unified way for the class of LCPs where the underlying matrix has nonnegative principal minors (P0-matrix). This class includes various important subclasses such as positive semi-definite matrices, P-matrices, P*-matrices introduced in this monograph, and column sufficient matrices. The family contains not only the usual potential reduction algorithms but also path following algorithms and a damped Newton method for the LCP. The main topics are global convergence, global linear convergence, and the polynomial-time convergence of potential reduction algorithms included in the family.