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Basis Factorization For Block Angular Linear Programs
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Book Synopsis Basis Factorization for Block-angular Linear Programs by : Carlos Winkler
Download or read book Basis Factorization for Block-angular Linear Programs written by Carlos Winkler and published by . This book was released on 1974 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: A general block-angular basis factorization is developed to represent the inverse of the basis of block-angular linear problems in factorized form. This factorization takes advantage of the structure of the matrix and can be efficiently updated when one column is replaced by another. Partitioning and decomposition methods (excluding Dantzig-Wolfe decomposition) for block-angular linear problems with coupling constraints, or coupling variables, or both, are shown to be variants of a Simplex Method using this general block-angular basis factorization form of the inverse, with various criteria as to the vector pair selected to enter and to leave the basis. By considering other criteria new algorithms are obtained. In particular, algorithms are presented for which at each iteration only a subset of the terms in the factorization needs to be used or to be updated. Preliminary experimental results with such an algorithm for block-angular linear problems with coupling constraints are included. Results are extended to the case when imbedded in the block-angular structures there are blocks which themselves are of block-angular form. Applications to the solution of dynamic linear programs (staircase structure) are developed.
Book Synopsis Basic Factorization for Block-angular Linear Programs by : Charles R. Winkler
Download or read book Basic Factorization for Block-angular Linear Programs written by Charles R. Winkler and published by . This book was released on 1974 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1990 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Programming by : Saul I. Gass
Download or read book Linear Programming written by Saul I. Gass and published by Courier Corporation. This book was released on 2003-01-01 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive, well-organized volume, suitable for undergraduates, covers theoretical, computational, and applied areas in linear programming. Expanded, updated edition; useful both as a text and as a reference book. 1995 edition.
Book Synopsis Large-scale Linear Programming Using the Cholesky Factorization by : M. A. Saunders
Download or read book Large-scale Linear Programming Using the Cholesky Factorization written by M. A. Saunders and published by . This book was released on 1972 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computation and Applied Mathematics by :
Download or read book Computation and Applied Mathematics written by and published by . This book was released on 1993 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Large-scale Linear Programming by : George Bernard Dantzig
Download or read book Large-scale Linear Programming written by George Bernard Dantzig and published by . This book was released on 1981 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: Microreproduction of the edition issued by the same publisher, 1971?
Book Synopsis Sparse Matrix Computations by : James R. Bunch
Download or read book Sparse Matrix Computations written by James R. Bunch and published by Academic Press. This book was released on 2014-05-10 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sparse Matrix Computations is a collection of papers presented at the 1975 Symposium by the same title, held at Argonne National Laboratory. This book is composed of six parts encompassing 27 chapters that contain contributions in several areas of matrix computations and some of the most potential research in numerical linear algebra. The papers are organized into general categories that deal, respectively, with sparse elimination, sparse eigenvalue calculations, optimization, mathematical software for sparse matrix computations, partial differential equations, and applications involving sparse matrix technology. This text presents research on applied numerical analysis but with considerable influence from computer science. In particular, most of the papers deal with the design, analysis, implementation, and application of computer algorithms. Such an emphasis includes the establishment of space and time complexity bounds and to understand the algorithms and the computing environment. This book will prove useful to mathematicians and computer scientists.
Book Synopsis DECOMP: an Implementation of Dantzig-Wolfe Decomposition for Linear Programming by : James K. Ho
Download or read book DECOMP: an Implementation of Dantzig-Wolfe Decomposition for Linear Programming written by James K. Ho and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: For linear optimization models that can be formulated as linear programs with the block-angular structure, i.e. independent subproblems with coupling constraints, the Dantzig-Wolfe decomposition principle provides an elegant framework of solution algorithms as well as economic interpretation. This monograph is the complete documentation of DECOMP: a robust implementation of the Dantzig-Wolfe decomposition method in FORTRAN. The code can serve as a very convenient starting point for further investigation, both computational and economic, of parallelism in large-scale systems. It can also be used as supplemental material in a second course in linear programming, computational mathematical programming, or large-scale systems.
Book Synopsis Stochastic Linear Programming Algorithms by : Janos Mayer
Download or read book Stochastic Linear Programming Algorithms written by Janos Mayer and published by Taylor & Francis. This book was released on 2022-04-19 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: A computationally oriented comparison of solution algorithms for two stage and jointly chance constrained stochastic linear programming problems, this is the first book to present comparative computational results with several major stochastic programming solution approaches. The following methods are considered: regularized decomposition, stochastic decomposition and successive discrete approximation methods for two stage problems; cutting plane methods, and a reduced gradient method for jointly chance constrained problems. The first part of the book introduces the algorithms, including a unified approach to decomposition methods and their regularized counterparts. The second part addresses computer implementation of the methods, describes a testing environment based on a model management system, and presents comparative computational results with the various algorithms. Emphasis is on the computational behavior of the algorithms.
Download or read book Mathematical Programming Study written by and published by . This book was released on 1985 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Studies on Mathematical Programming by : András Prékopa
Download or read book Studies on Mathematical Programming written by András Prékopa and published by . This book was released on 1980 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Programming by : Richard Cottle
Download or read book Mathematical Programming written by Richard Cottle and published by . This book was released on 1985 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis System Modelling and Optimization by : Peter Kall
Download or read book System Modelling and Optimization written by Peter Kall and published by Springer. This book was released on 1992 with total page 1002 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Three-phase Algorithm for Block-structured Optimization by : University of Wisconsin--Madison. Computer Sciences Dept
Download or read book A Three-phase Algorithm for Block-structured Optimization written by University of Wisconsin--Madison. Computer Sciences Dept and published by . This book was released on 1990 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We develop a decomposition method, based on barrier functions, for solving block angular linear programs. The convergence properties of the method are briefly described. We then present promising computational results for one of the largest classes of linear programming models occurring in the literature, a set of multicommodity flow problems with up to 100,000 constraints and 300,000 variables."
Book Synopsis Computation and Applied Mathematics by :
Download or read book Computation and Applied Mathematics written by and published by . This book was released on 1993 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Inventory of energy research and development--1973-1975 by : Oak Ridge National Laboratory
Download or read book Inventory of energy research and development--1973-1975 written by Oak Ridge National Laboratory and published by . This book was released on 1976 with total page 1324 pages. Available in PDF, EPUB and Kindle. Book excerpt:
