parallelism in matrix computations scientific computation

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Parallelism In Matrix Computations

Author : Efstratios Gallopoulos
ISBN : 9789401771887
Genre : Mathematics
File Size : 76. 24 MB
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This book is primarily intended as a research monograph that could also be used in graduate courses for the design of parallel algorithms in matrix computations. It assumes general but not extensive knowledge of numerical linear algebra, parallel architectures, and parallel programming paradigms. The book consists of four parts: (I) Basics; (II) Dense and Special Matrix Computations; (III) Sparse Matrix Computations; and (IV) Matrix functions and characteristics. Part I deals with parallel programming paradigms and fundamental kernels, including reordering schemes for sparse matrices. Part II is devoted to dense matrix computations such as parallel algorithms for solving linear systems, linear least squares, the symmetric algebraic eigenvalue problem, and the singular-value decomposition. It also deals with the development of parallel algorithms for special linear systems such as banded ,Vandermonde ,Toeplitz ,and block Toeplitz systems. Part III addresses sparse matrix computations: (a) the development of parallel iterative linear system solvers with emphasis on scalable preconditioners, (b) parallel schemes for obtaining a few of the extreme eigenpairs or those contained in a given interval in the spectrum of a standard or generalized symmetric eigenvalue problem, and (c) parallel methods for computing a few of the extreme singular triplets. Part IV focuses on the development of parallel algorithms for matrix functions and special characteristics such as the matrix pseudospectrum and the determinant. The book also reviews the theoretical and practical background necessary when designing these algorithms and includes an extensive bibliography that will be useful to researchers and students alike. The book brings together many existing algorithms for the fundamental matrix computations that have a proven track record of efficient implementation in terms of data locality and data transfer on state-of-the-art systems, as well as several algorithms that are presented for the first time, focusing on the opportunities for parallelism and algorithm robustness.

High Performance Computational Science And Engineering

Author : Michael K. Ng
ISBN : 9780387240480
Genre : Computers
File Size : 58. 48 MB
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Proceedings of the International Symposium on High Performance Computational Science and Engineering 2004 (IFIP World Computer Congress) is an essential reference for both academic and professional researchers in the field of computational science and engineering. Computational Science and Engineering is increasingly becoming an emerging and promising discipline in shaping future research and development activities in academia and industry ranging from engineering, science, finance, economics, arts and humanitarian fields. New challenges are in modeling of complex systems, sophisticated algorithms, advanced scientific and engineering computing, and associated (multi-disciplinary) problem solving environments. The papers presented in this volume are specially selected to address the most up-to-date ideas, results, work-in-progress and research experience in the area of high performance computational techniques for science and engineering applications. This state-of-the-are volume presents the proceedings of the International Symposium on High Performance Computational Science and Engineering, held in conjunction with the IFIP World Computer Congress, August 2004, in Toulouse, France. The collection will be important not only for computational science and engineering experts and researchers but for all teachers and administrators interested in high performance computational techniques.

Selected Papers From The Second Conference On Parallel Processing For Scientific Computing

Author : Charles William Gear
ISBN : 0898712165
Genre : Computers
File Size : 58. 47 MB
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Proceedings -- Parallel Computing.

Parallel Processing For Scientific Computing

Author : Michael A. Heroux
ISBN : 0898718139
Genre : Parallel processing (Electronic computers)
File Size : 77. 41 MB
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Parallel processing has been an enabling technology in scientific computing for more than 20 years. This book is the first in-depth discussion of parallel computing in 10 years; it reflects the mix of topics that mathematicians, computer scientists, and computational scientists focus on to make parallel processing effective for scientific problems. Presently, the impact of parallel processing on scientific computing varies greatly across disciplines, but it plays a vital role in most problem domains and is absolutely essential in many of them. Parallel Processing for Scientific Computing is divided into four parts: The first concerns performance modeling, analysis, and optimization; the second focuses on parallel algorithms and software for an array of problems common to many modeling and simulation applications; the third emphasizes tools and environments that can ease and enhance the process of application development; and the fourth provides a sampling of applications that require parallel computing for scaling to solve larger and realistic models that can advance science and engineering.

Applied Parallel And Scientific Computing

Author : Kristján Jónasson
ISBN : 9783642281501
Genre : Computers
File Size : 89. 54 MB
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The two volume set LNCS 7133 and LNCS 7134 constitutes the thoroughly refereed post-conference proceedings of the 10th International Conference on Applied Parallel and Scientific Computing, PARA 2010, held in Reykjavík, Iceland, in June 2010. These volumes contain three keynote lectures, 29 revised papers and 45 minisymposia presentations arranged on the following topics: cloud computing, HPC algorithms, HPC programming tools, HPC in meteorology, parallel numerical algorithms, parallel computing in physics, scientific computing tools, HPC software engineering, simulations of atomic scale systems, tools and environments for accelerator based computational biomedicine, GPU computing, high performance computing interval methods, real-time access and processing of large data sets, linear algebra algorithms and software for multicore and hybrid architectures in honor of Fred Gustavson on his 75th birthday, memory and multicore issues in scientific computing - theory and praxis, multicore algorithms and implementations for application problems, fast PDE solvers and a posteriori error estimates, and scalable tools for high performance computing.

Parallel Processing For Scientific Computing

Author : G. Rodrigue
ISBN : 0898712289
Genre : Computers
File Size : 64. 80 MB
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Mathematics of Computing -- Parallelism.

Parallel Algorithms For Matrix Computations

Author : K. A. Gallivan
ISBN : 9780898712605
Genre : Mathematics
File Size : 62. 52 MB
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Mathematics of Computing -- Parallelism.

Domain Based Parallelism And Problem Decomposition Methods In Computational Science And Engineering

Author : David E. Keyes
ISBN : 1611971500
Genre : Mathematical optimization
File Size : 56. 73 MB
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This refereed volume arose from the editors' recognition that physical scientists, engineers, and applied mathematicians are developing, in parallel, solutions to problems of parallelization. The cross-disciplinary field of scientific computation is bringing about better communication between heterogeneous computational groups, as they face this common challenge. This volume is one attempt to provide cross-disciplinary communication. Problem decomposition and the use of domain-based parallelism in computational science and engineering was the subject addressed at a workshop held at the University of Minnesota Supercomputer Institute in April 1994. The authors were subsequently able to address the relationships between their individual applications and independently developed approaches. This book is written for an interdisciplinary audience and concentrates on transferable algorithmic techniques, rather than the scientific results themselves. Cross-disciplinary editing was employed to identify jargon that needed further explanation and to ensure provision of a brief scientific background for each chapter at a tutorial level so that the physical significance of the variables is clear and correspondences between fields are visible.

Proceedings Of The Fifth Siam Conference On Parallel Processing For Scientific Computing

Author : J. J. Dongarra
ISBN : 089871303X
Genre : Science
File Size : 46. 43 MB
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This text gives the proceedings for the fifth conference on parallel processing for scientific computing.

Parallel And Distributed Computing Architectures And Algorithms

Author : BASU, S. K.
ISBN : 9788120352124
Genre : Computers
File Size : 74. 70 MB
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This concise text is designed to present the recent advances in parallel and distributed architectures and algorithms within an integrated framework. Beginning with an introduction to the basic concepts, the book goes on discussing the basic methods of parallelism exploitation in computation through vector processing, super scalar and VLIW processing, array processing, associative processing, systolic algorithms, and dataflow computation. After introducing interconnection networks, it discusses parallel algorithms for sorting, Fourier transform, matrix algebra, and graph theory. The second part focuses on basics and selected theoretical issues of distributed processing. Architectures and algorithms have been dealt in an integrated way throughout the book. The last chapter focuses on the different paradigms and issues of high performance computing making the reading more interesting. This book is meant for the senior level undergraduate and postgraduate students of computer science and engineering, and information technology. The book is also useful for the postgraduate students of computer science and computer application.

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