Sparse Matrices And Their Applications

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Sparse Matrices and their Applications

Author : D. Rose
Publisher : Springer Science & Business Media
ISBN 13 : 1461586755
Total Pages : 215 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Sparse Matrices and their Applications by : D. Rose

Download or read book Sparse Matrices and their Applications written by D. Rose and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains papers on sparse matrices and their appli cations which were presented at a Symposium held at the IBM Thomas J. Watson Research Center, Yorktown Heights, New York on September 9-10, 1971. This is a very active field of research since efficient techniques for handling sparse matrix calculations are an important aspect of problem solving. In large scale problems, the feasibility of the calculation depends critically on the efficiency of the underlying sparse matrix algorithms. An important feature of the conference and its proceedings is the cross-fertilization achieved among a broad spectrum of application areas, and among combinatorialists, numerical analysts, and computer scientists. The mathematical, programming, and data management features of these techniques provide a unifying theme which can benefit readers in many fields. The introduction summarizes the major ideas in each paper. These ideas are interspersed with a brief survey of sparse matrix technology. An extensive unified bibliography is provided for the reader interested in more systematic information. The editors wish to thank Robert K. Brayton for his many helpful suggestions as chairman of the organizing committee and Redmond O'Brien for his editorial and audio-visual assistance. We would also like to thank Mrs. Tiyo Asai and Mrs. Joyce Otis for their help during the conference and on the numerous typing jobs for the manuscript. A special thanks goes to William J. Turner for establishing the IBM Research Symposia Series with Plenum Press.

Graph Theory and Sparse Matrix Computation

Author : Alan George
Publisher : Springer Science & Business Media
ISBN 13 : 1461383692
Total Pages : 254 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Graph Theory and Sparse Matrix Computation by : Alan George

Download or read book Graph Theory and Sparse Matrix Computation written by Alan George and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: When reality is modeled by computation, matrices are often the connection between the continuous physical world and the finite algorithmic one. Usually, the more detailed the model, the bigger the matrix, the better the answer, however, efficiency demands that every possible advantage be exploited. The articles in this volume are based on recent research on sparse matrix computations. This volume looks at graph theory as it connects to linear algebra, parallel computing, data structures, geometry, and both numerical and discrete algorithms. The articles are grouped into three general categories: graph models of symmetric matrices and factorizations, graph models of algorithms on nonsymmetric matrices, and parallel sparse matrix algorithms. This book will be a resource for the researcher or advanced student of either graphs or sparse matrices; it will be useful to mathematicians, numerical analysts and theoretical computer scientists alike.

Sparse Matrices and Their Applications

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (841 download)

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Book Synopsis Sparse Matrices and Their Applications by :

Download or read book Sparse Matrices and Their Applications written by and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sparse Matrices and Their Uses

Author : IMA Numerical Analysis Group. Conference
Publisher :
ISBN 13 :
Total Pages : 408 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Sparse Matrices and Their Uses by : IMA Numerical Analysis Group. Conference

Download or read book Sparse Matrices and Their Uses written by IMA Numerical Analysis Group. Conference and published by . This book was released on 1981 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of papers presented at a conference held at the University of Reading from July 9th to July 11th, 1980. The conference was principally expository, discussing the application of sparse matrix techniques and software to various problem areas. Many papers introduced new research areas, so this volume should appeal to sparse matrix researchers, users of sparse matrix technologies, and scientists and engineers who would like to know more about this expanding field.

Direct Methods for Sparse Linear Systems

Author : Timothy A. Davis
Publisher : SIAM
ISBN 13 : 0898716136
Total Pages : 228 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Direct Methods for Sparse Linear Systems by : Timothy A. Davis

Download or read book Direct Methods for Sparse Linear Systems written by Timothy A. Davis and published by SIAM. This book was released on 2006-09-01 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sparse backslash book. Everything you wanted to know but never dared to ask about modern direct linear solvers. Chen Greif, Assistant Professor, Department of Computer Science, University of British Columbia.Overall, the book is magnificent. It fills a long-felt need for an accessible textbook on modern sparse direct methods. Its choice of scope is excellent John Gilbert, Professor, Department of Computer Science, University of California, Santa Barbara.Computational scientists often encounter problems requiring the solution of sparse systems of linear equations. Attacking these problems efficiently requires an in-depth knowledge of the underlying theory, algorithms, and data structures found in sparse matrix software libraries. Here, Davis presents the fundamentals of sparse matrix algorithms to provide the requisite background. The book includes CSparse, a concise downloadable sparse matrix package that illustrates the algorithms and theorems presented in the book and equips readers with the tools necessary to understand larger and more complex software packages.With a strong emphasis on MATLAB and the C programming language, Direct Methods for Sparse Linear Systems equips readers with the working knowledge required to use sparse solver packages and write code to interface applications to those packages. The book also explains how MATLAB performs its sparse matrix computations.Audience This invaluable book is essential to computational scientists and software developers who want to understand the theory and algorithms behind modern techniques used to solve large sparse linear systems. The book also serves as an excellent practical resource for students with an interest in combinatorial scientific computing.Preface; Chapter 1: Introduction; Chapter 2: Basic algorithms; Chapter 3: Solving triangular systems; Chapter 4: Cholesky factorization; Chapter 5: Orthogonal methods; Chapter 6: LU factorization; Chapter 7: Fill-reducing orderings; Chapter 8: Solving sparse linear systems; Chapter 9: CSparse; Chapter 10: Sparse matrices in MATLAB; Appendix: Basics of the C programming language; Bibliography; Index.

Sparse Matrix Technology

Author : Sergio Pissanetzky
Publisher : Academic Press
ISBN 13 : 1483270408
Total Pages : 336 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Sparse Matrix Technology by : Sergio Pissanetzky

Download or read book Sparse Matrix Technology written by Sergio Pissanetzky and published by Academic Press. This book was released on 2014-06-28 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sparse Matrix Technology presents the methods, concepts, ideas, and applications of sparse matrix technology. The text provides the fundamental methods, procedures, techniques, and applications of sparse matrix technology in software development. The book covers topics on storage schemes and computational techniques needed for sparse matrix technology; sparse matrix methods and algorithms for the direct solution of linear equations; and algorithms for different purposes connected with sparse matrix technology. Engineers, programmers, analysts, teachers, and students in the computer sciences will find the book interesting.

Sparse Matrices and Their Applications

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (841 download)

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Book Synopsis Sparse Matrices and Their Applications by :

Download or read book Sparse Matrices and Their Applications written by and published by . This book was released on 1972 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sparse Matrix Computations

Author : James R. Bunch
Publisher : Academic Press
ISBN 13 : 1483263401
Total Pages : 468 pages
Book Rating : 4.4/5 (832 download)

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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.

Sparse Matrices and Their Applications

Author : Donald J. Rose
Publisher :
ISBN 13 : 9781461586760
Total Pages : 232 pages
Book Rating : 4.5/5 (867 download)

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Book Synopsis Sparse Matrices and Their Applications by : Donald J. Rose

Download or read book Sparse Matrices and Their Applications written by Donald J. Rose and published by . This book was released on 1972-03-01 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hadamard Matrices and Their Applications

Author : K. J. Horadam
Publisher : Princeton University Press
ISBN 13 : 069111921X
Total Pages : 277 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Hadamard Matrices and Their Applications by : K. J. Horadam

Download or read book Hadamard Matrices and Their Applications written by K. J. Horadam and published by Princeton University Press. This book was released on 2007 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Hadamard Matrices and Their Applications, K. J. Horadam provides the first unified account of cocyclic Hadamard matrices and their applications in signal and data processing. This original work is based on the development of an algebraic link between Hadamard matrices and the cohomology of finite groups that was discovered fifteen years ago. The book translates physical applications into terms a pure mathematician will appreciate, and theoretical structures into ones an applied mathematician, computer scientist, or communications engineer can adapt and use. The first half of the book explains the state of our knowledge of Hadamard matrices and two important generalizations: matrices with group entries and multidimensional Hadamard arrays. It focuses on their applications in engineering and computer science, as signal transforms, spreading sequences, error-correcting codes, and cryptographic primitives. The book's second half presents the new results in cocyclic Hadamard matrices and their applications. Full expression of this theory has been realized only recently, in the Five-fold Constellation. This identifies cocyclic generalized Hadamard matrices with particular "stars" in four other areas of mathematics and engineering: group cohomology, incidence structures, combinatorics, and signal correlation. Pointing the way to possible new developments in a field ripe for further research, this book formulates and discusses ninety open questions.

Iterative Methods for Sparse Linear Systems

Author : Yousef Saad
Publisher : SIAM
ISBN 13 : 0898715342
Total Pages : 537 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Iterative Methods for Sparse Linear Systems by : Yousef Saad

Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad and published by SIAM. This book was released on 2003-04-01 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.

Sparse Matrices and Their Applications

Author : Ralph A. Willoughby
Publisher :
ISBN 13 :
Total Pages : 215 pages
Book Rating : 4.:/5 (257 download)

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Book Synopsis Sparse Matrices and Their Applications by : Ralph A. Willoughby

Download or read book Sparse Matrices and Their Applications written by Ralph A. Willoughby and published by . This book was released on 1972 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Direct Methods for Sparse Matrices

Author : I. S. Duff
Publisher : Oxford University Press
ISBN 13 : 0192507516
Total Pages : 416 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Direct Methods for Sparse Matrices by : I. S. Duff

Download or read book Direct Methods for Sparse Matrices written by I. S. Duff and published by Oxford University Press. This book was released on 2017-02-10 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of sparse matrices has its root in such diverse fields as management science, power systems analysis, surveying, circuit theory, and structural analysis. Efficient use of sparsity is a key to solving large problems in many fields. This second edition is a complete rewrite of the first edition published 30 years ago. Much has changed since that time. Problems have grown greatly in size and complexity; nearly all examples in the first edition were of order less than 5,000 in the first edition, and are often more than a million in the second edition. Computer architectures are now much more complex, requiring new ways of adapting algorithms to parallel environments with memory hierarchies. Because the area is such an important one to all of computational science and engineering, a huge amount of research has been done in the last 30 years, some of it by the authors themselves. This new research is integrated into the text with a clear explanation of the underlying mathematics and algorithms. New research that is described includes new techniques for scaling and error control, new orderings, new combinatorial techniques for partitioning both symmetric and unsymmetric problems, and a detailed description of the multifrontal approach to solving systems that was pioneered by the research of the authors and colleagues. This includes a discussion of techniques for exploiting parallel architectures and new work for indefinite and unsymmetric systems.

Sparse matrices and their applications

Author : Donald J. Rose
Publisher :
ISBN 13 :
Total Pages : 215 pages
Book Rating : 4.:/5 (576 download)

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Book Synopsis Sparse matrices and their applications by : Donald J. Rose

Download or read book Sparse matrices and their applications written by Donald J. Rose and published by . This book was released on 1974 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sparse Matrix Technology - electronic edition

Author : Sergio Pissanetzky
Publisher :
ISBN 13 : 0976277530
Total Pages : 324 pages
Book Rating : 4.9/5 (762 download)

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Book Synopsis Sparse Matrix Technology - electronic edition by : Sergio Pissanetzky

Download or read book Sparse Matrix Technology - electronic edition written by Sergio Pissanetzky and published by . This book was released on 1984 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Robust Low-Rank and Sparse Matrix Decomposition

Author : Thierry Bouwmans
Publisher : CRC Press
ISBN 13 : 1315353539
Total Pages : 510 pages
Book Rating : 4.3/5 (153 download)

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Book Synopsis Handbook of Robust Low-Rank and Sparse Matrix Decomposition by : Thierry Bouwmans

Download or read book Handbook of Robust Low-Rank and Sparse Matrix Decomposition written by Thierry Bouwmans and published by CRC Press. This book was released on 2016-09-20 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Robust Low-Rank and Sparse Matrix Decomposition: Applications in Image and Video Processing shows you how robust subspace learning and tracking by decomposition into low-rank and sparse matrices provide a suitable framework for computer vision applications. Incorporating both existing and new ideas, the book conveniently gives you one-stop access to a number of different decompositions, algorithms, implementations, and benchmarking techniques. Divided into five parts, the book begins with an overall introduction to robust principal component analysis (PCA) via decomposition into low-rank and sparse matrices. The second part addresses robust matrix factorization/completion problems while the third part focuses on robust online subspace estimation, learning, and tracking. Covering applications in image and video processing, the fourth part discusses image analysis, image denoising, motion saliency detection, video coding, key frame extraction, and hyperspectral video processing. The final part presents resources and applications in background/foreground separation for video surveillance. With contributions from leading teams around the world, this handbook provides a complete overview of the concepts, theories, algorithms, and applications related to robust low-rank and sparse matrix decompositions. It is designed for researchers, developers, and graduate students in computer vision, image and video processing, real-time architecture, machine learning, and data mining.

Computational Methods for General Sparse Matrices

Author : Zahari Zlatev
Publisher : Springer Science & Business Media
ISBN 13 : 940171116X
Total Pages : 343 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Computational Methods for General Sparse Matrices by : Zahari Zlatev

Download or read book Computational Methods for General Sparse Matrices written by Zahari Zlatev and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi ... - si j'avait su comment en revenir, One service mathematics has rendered the je n 'y serais point aile.' human race. It has put common sense back where it belongs, on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell 0. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'elre of this series.