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Author | : K. Gallivan |
Publisher | : SIAM |
Total Pages | : 207 |
Release | : 1990-01-01 |
Genre | : Mathematics |
ISBN | : 9781611971705 |
Download Parallel Algorithms for Matrix Computations Book in PDF, ePub and Kindle
Describes a selection of important parallel algorithms for matrix computations. Reviews the current status and provides an overall perspective of parallel algorithms for solving problems arising in the major areas of numerical linear algebra, including (1) direct solution of dense, structured, or sparse linear systems, (2) dense or structured least squares computations, (3) dense or structured eigenvaluen and singular value computations, and (4) rapid elliptic solvers. The book emphasizes computational primitives whose efficient execution on parallel and vector computers is essential to obtain high performance algorithms. Consists of two comprehensive survey papers on important parallel algorithms for solving problems arising in the major areas of numerical linear algebra--direct solution of linear systems, least squares computations, eigenvalue and singular value computations, and rapid elliptic solvers, plus an extensive up-to-date bibliography (2,000 items) on related research.
Author | : Efstratios Gallopoulos |
Publisher | : Springer |
Total Pages | : 489 |
Release | : 2015-07-25 |
Genre | : Technology & Engineering |
ISBN | : 940177188X |
Download Parallelism in Matrix Computations Book in PDF, ePub and Kindle
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.
Author | : Jagdish J. Modi |
Publisher | : Oxford University Press, USA |
Total Pages | : 278 |
Release | : 1988 |
Genre | : Computers |
ISBN | : |
Download Parallel Algorithms and Matrix Computation Book in PDF, ePub and Kindle
An introduction to parallel computation and the application of parallel algorithms to numerical linear algebra, based on a lecture course at the University of Cambridge. The emphasis is on the design and analysis of algorithms which are of importance to industrial and academic research.
Author | : |
Publisher | : |
Total Pages | : 197 |
Release | : 1990 |
Genre | : Algorithms |
ISBN | : |
Download Parallel Algorithms for Matrix Computations Book in PDF, ePub and Kindle
Author | : Ananth Grama |
Publisher | : Springer Nature |
Total Pages | : 421 |
Release | : 2020-07-06 |
Genre | : Computers |
ISBN | : 3030437361 |
Download Parallel Algorithms in Computational Science and Engineering Book in PDF, ePub and Kindle
This contributed volume highlights two areas of fundamental interest in high-performance computing: core algorithms for important kernels and computationally demanding applications. The first few chapters explore algorithms, numerical techniques, and their parallel formulations for a variety of kernels that arise in applications. The rest of the volume focuses on state-of-the-art applications from diverse domains. By structuring the volume around these two areas, it presents a comprehensive view of the application landscape for high-performance computing, while also enabling readers to develop new applications using the kernels. Readers will learn how to choose the most suitable parallel algorithms for any given application, ensuring that theory and practicality are clearly connected. Applications using these techniques are illustrated in detail, including: Computational materials science and engineering Computational cardiovascular analysis Multiscale analysis of wind turbines and turbomachinery Weather forecasting Machine learning techniques Parallel Algorithms in Computational Science and Engineering will be an ideal reference for applied mathematicians, engineers, computer scientists, and other researchers who utilize high-performance computing in their work.
Author | : Henri Casanova |
Publisher | : CRC Press |
Total Pages | : 360 |
Release | : 2008-07-17 |
Genre | : Computers |
ISBN | : 1584889462 |
Download Parallel Algorithms Book in PDF, ePub and Kindle
Focusing on algorithms for distributed-memory parallel architectures, Parallel Algorithms presents a rigorous yet accessible treatment of theoretical models of parallel computation, parallel algorithm design for homogeneous and heterogeneous platforms, complexity and performance analysis, and essential notions of scheduling. The book extract
Author | : Seyed H Roosta |
Publisher | : Springer Science & Business Media |
Total Pages | : 579 |
Release | : 2012-12-06 |
Genre | : Computers |
ISBN | : 1461212200 |
Download Parallel Processing and Parallel Algorithms Book in PDF, ePub and Kindle
Motivation It is now possible to build powerful single-processor and multiprocessor systems and use them efficiently for data processing, which has seen an explosive ex pansion in many areas of computer science and engineering. One approach to meeting the performance requirements of the applications has been to utilize the most powerful single-processor system that is available. When such a system does not provide the performance requirements, pipelined and parallel process ing structures can be employed. The concept of parallel processing is a depar ture from sequential processing. In sequential computation one processor is in volved and performs one operation at a time. On the other hand, in parallel computation several processors cooperate to solve a problem, which reduces computing time because several operations can be carried out simultaneously. Using several processors that work together on a given computation illustrates a new paradigm in computer problem solving which is completely different from sequential processing. From the practical point of view, this provides sufficient justification to investigate the concept of parallel processing and related issues, such as parallel algorithms. Parallel processing involves utilizing several factors, such as parallel architectures, parallel algorithms, parallel programming lan guages and performance analysis, which are strongly interrelated. In general, four steps are involved in performing a computational problem in parallel. The first step is to understand the nature of computations in the specific application domain.
Author | : Raimondas Ciegis |
Publisher | : Springer Science & Business Media |
Total Pages | : 287 |
Release | : 2008-10-08 |
Genre | : Mathematics |
ISBN | : 0387097074 |
Download Parallel Scientific Computing and Optimization Book in PDF, ePub and Kindle
Parallel Scientific Computing and Optimization introduces new developments in the construction, analysis, and implementation of parallel computing algorithms. This book presents 23 self-contained chapters, including survey chapters and surveys, written by distinguished researchers in the field of parallel computing. Each chapter is devoted to some aspects of the subject: parallel algorithms for matrix computations, parallel optimization, management of parallel programming models and data, with the largest focus on parallel scientific computing in industrial applications. This volume is intended for scientists and graduate students specializing in computer science and applied mathematics who are engaged in parallel scientific computing.
Author | : K. Gallivan |
Publisher | : SIAM |
Total Pages | : 204 |
Release | : 1990-01-01 |
Genre | : Mathematics |
ISBN | : 0898712602 |
Download Parallel Algorithms for Matrix Computations Book in PDF, ePub and Kindle
Mathematics of Computing -- Parallelism.
Author | : Selim G. Akl |
Publisher | : |
Total Pages | : 426 |
Release | : 1989 |
Genre | : Computers |
ISBN | : |
Download The Design and Analysis of Parallel Algorithms Book in PDF, ePub and Kindle
Mathematics of Computing -- Parallelism.