Download or read book Massively Parallel Sparse matrix Computations written by Institute for Defense Analyses. Supercomputing Research Center and published by . This book was released on 1990 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "This paper shows that QR factorization of large, sparse matrices can be performed efficiently on massively-parallel SIMD (Single Instruction stream, Multiple Data stream) computers such as the Connection Machine CM-2. The problem is cast as a dataflow graph, using existing techniques for symbolic manipulation of the structure of the matrix. Then the nodes in the graph, which represent units of computational work, are mapped to a 'virtual dataflow machine' in such a way that only nearest-neighbor communication is required. This virtual machine is implemented by programming the CM-2 processors to support the static dataflow protocol. Execution results for standard test matrices show that good performance is obtained even for 'unstructured' sparsity patterns that are not amenable to nested dissection techniques."
Download or read book Basic Sparse Matrix Computations on Massively Parallel Computers written by W. Ferng and published by . This book was released on 1992 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Parallelism in Matrix Computations written by Efstratios Gallopoulos and published by Springer. This book was released on 2015-07-25 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Parallel Algorithms for Matrix Computations written by K. Gallivan and published by SIAM. This book was released on 1990-01-01 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Parallelism.
Download or read book Parallel Sparse Matrix Computations written by Arno C. N. van Duin and published by University of Leiden. This book was released on 1998-01-01 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Programming Massively Parallel Processors written by David B. Kirk and published by Newnes. This book was released on 2012-12-31 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: Programming Massively Parallel Processors: A Hands-on Approach, Second Edition, teaches students how to program massively parallel processors. It offers a detailed discussion of various techniques for constructing parallel programs. Case studies are used to demonstrate the development process, which begins with computational thinking and ends with effective and efficient parallel programs. This guide shows both student and professional alike the basic concepts of parallel programming and GPU architecture. Topics of performance, floating-point format, parallel patterns, and dynamic parallelism are covered in depth. This revised edition contains more parallel programming examples, commonly-used libraries such as Thrust, and explanations of the latest tools. It also provides new coverage of CUDA 5.0, improved performance, enhanced development tools, increased hardware support, and more; increased coverage of related technology, OpenCL and new material on algorithm patterns, GPU clusters, host programming, and data parallelism; and two new case studies (on MRI reconstruction and molecular visualization) that explore the latest applications of CUDA and GPUs for scientific research and high-performance computing. This book should be a valuable resource for advanced students, software engineers, programmers, and hardware engineers. - New coverage of CUDA 5.0, improved performance, enhanced development tools, increased hardware support, and more - Increased coverage of related technology, OpenCL and new material on algorithm patterns, GPU clusters, host programming, and data parallelism - Two new case studies (on MRI reconstruction and molecular visualization) explore the latest applications of CUDA and GPUs for scientific research and high-performance computing
Download or read book Efficient and Parallel Sparse Matrix Computations on the Web written by Prabhjot Sandhu and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Large and sparse matrices occur in various scientific and compute-intensive applications, including popular targets such as big-data analytics and machine learning applications. The sparse matrix computations involved in these applications are considered critical for the overall performance due to their recurring nature. At the same time, we are witnessing a surge of such applications on the web due to the ease of accessibility and potential for interactive, collaborative features. In this context, the heavy computation requirements of sparse computations pose a challenge. Recent advancements in JavaScript and WebAssembly engines for web browsers, however, provide opportunities to enable better performance.In this work we present SciWasm.Sparse, a web-based computing framework that offers efficient and scalable sparse matrix CPU kernels to support high-performance computing in web browsers. It provides hand-tuned implementations of Sparse BLAS (Basic Linear Algebra Subroutines) Level 2 operations, element-wise sparse operations, and conversion routines for sparse storage formats. Starting with exploratory research to discover the distinctive nature of the performance of sparse matrix-vector multiplication (SpMV) for WebAssembly compared to native C, we built optimized and parallel SpMV for different sparse storage formats. Our selection of low-level code and data optimization techniques is based on a structure-based performance analysis that identifies several performance bottlenecks via different matrix structure features. We evaluate the performance of our web-based SpMV with its native counterparts from the well-known taco C++ and Intel MKL C libraries on 2000 real-life sparse matrices. We demonstrate that our design can offer performance competitive with even highly tuned and well-established native implementations. Apart from SpMV, we develop a novel and efficient synchronization algorithm for parallel sparse triangular solve (SpTS). It shows impressive performance speedups for a number of matrices over the classic level-set technique. Our framework will facilitate solving large sparse computational problems for performance-critical web applications such as ML frameworks that train and deploy models in the browsers. Our hand-tuned kernels and well-defined parameter space will be valuable for enabling application-specific adaptive capabilities for sparse systems on the web"--
Download or read book Programming Massively Parallel Processors written by Wen-mei W. Hwu and published by Morgan Kaufmann. This book was released on 2022-05-28 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: Programming Massively Parallel Processors: A Hands-on Approach shows both students and professionals alike the basic concepts of parallel programming and GPU architecture. Concise, intuitive, and practical, it is based on years of road-testing in the authors' own parallel computing courses. Various techniques for constructing and optimizing parallel programs are explored in detail, while case studies demonstrate the development process, which begins with computational thinking and ends with effective and efficient parallel programs. The new edition includes updated coverage of CUDA, including the newer libraries such as CuDNN. New chapters on frequently used parallel patterns have been added, and case studies have been updated to reflect current industry practices. - Parallel Patterns Introduces new chapters on frequently used parallel patterns (stencil, reduction, sorting) and major improvements to previous chapters (convolution, histogram, sparse matrices, graph traversal, deep learning) - Ampere Includes a new chapter focused on GPU architecture and draws examples from recent architecture generations, including Ampere - Systematic Approach Incorporates major improvements to abstract discussions of problem decomposition strategies and performance considerations, with a new optimization checklist
Download or read book Enabling Sparse Matrix Computation in Multi locale Chapel written by Amer Tahir and published by . This book was released on 2016 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Solving large sparse systems of linear equations is at the core of many problems in scientific computing. Conjugate Gradient (CG), an iterative method, is one of the prominent techniques for solving such systems of the form Ax = b. In addition to many scientific applications, CG is also chosen for high performance benchmarks, i.e. to evaluate the performance of massively parallel computing systems. Traditionally, MPI (Message Passing Interface) based libraries are used to implement CG algorithms, but a new wave of partitioned global address space (PGAS) languages like Chapel are naturally fit for the task. Chapel seeks to provide syntactic and library support for a variety of parallel-programming concepts wherein data-parallel applications are supported via the concepts of domains and distributions. Unlike 'arrays' of traditional languages, Chapel domains are used to represent sets of indices and distributions provide a storage representation for domains, along with their associated arrays of data.
Download or read book Parallel Solutions for Sparse Matrix Computations written by Sorin Gheorghe Nastea and published by . This book was released on 1996 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Matrix Computations written by Gene H. Golub and published by JHU Press. This book was released on 1996-10-15 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: Revised and updated, the third edition of Golub and Van Loan's classic text in computer science provides essential information about the mathematical background and algorithmic skills required for the production of numerical software. This new edition includes thoroughly revised chapters on matrix multiplication problems and parallel matrix computations, expanded treatment of CS decomposition, an updated overview of floating point arithmetic, a more accurate rendition of the modified Gram-Schmidt process, and new material devoted to GMRES, QMR, and other methods designed to handle the sparse unsymmetric linear system problem.
Download or read book IMACS 91 written by Robert Vichnevetsky and published by . This book was released on 1991 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Les Fran ais au Canada 1760 Exp dition de Qu bec et si ge de la ville written by and published by . This book was released on 1905 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Fourth Symposium on the Frontiers of Massively Parallel Computation written by Howard Jay Siegel and published by . This book was released on 1992 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the meeting held in McLean, Virginia, October 19-21, 1992 on compiling and languages for MIMD and SIMD, algorithms, architectures, numerical applications and algorithms, networks, algorithm-software issues, imaging and visualization, hypercube systems, programs for dataflow and data p
Download or read book Data Parallel Sparse Matrix Computation on CM 2 and CM 5 for Iterative Methods written by Serge G. Petiton and published by . This book was released on 1993 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
