The Impact of Vector and Parallel Architectures on the Gaussian Elimination Algorithm PDF Download
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Author: Yves Robert
Publisher: Manchester University Press
ISBN: 9780719033650
Category : Computers
Languages : en
Pages : 216
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Book Description
Mathematics of Computing -- Parallelism.
Author: Yves Robert
Publisher: Manchester University Press
ISBN: 9780719033650
Category : Computers
Languages : en
Pages : 216
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Book Description
Mathematics of Computing -- Parallelism.
Author: G. Rodrigue
Publisher: SIAM
ISBN: 9780898712285
Category : Computers
Languages : en
Pages : 458
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Book Description
Mathematics of Computing -- Parallelism.
Author: Füsun Özgüner
Publisher: Springer Science & Business Media
ISBN: 3642580661
Category : Computers
Languages : en
Pages : 327
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Book Description
Advances in microelectronic technology have made massively parallel computing a reality and triggered an outburst of research activity in parallel processing architectures and algorithms. Distributed memory multiprocessors - parallel computers that consist of microprocessors connected in a regular topology - are increasingly being used to solve large problems in many application areas. In order to use these computers for a specific application, existing algorithms need to be restructured for the architecture and new algorithms developed. The performance of a computation on a distributed memory multiprocessor is affected by the node and communication architecture, the interconnection network topology, the I/O subsystem, and the parallel algorithm and communication protocols. Each of these parametersis a complex problem, and solutions require an understanding of the interactions among them. This book is based on the papers presented at the NATO Advanced Study Institute held at Bilkent University, Turkey, in July 1991. The book is organized in five parts: Parallel computing structures and communication, Parallel numerical algorithms, Parallel programming, Fault tolerance, and Applications and algorithms.
Author: E. D'Hollander
Publisher: North-Holland
ISBN:
Category : Computers
Languages : en
Pages : 748
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Book Description
Hardbound. The aim of this volume is to give an overview of the state-of-the-art of the development, application and future trends in parallel computing. The emphasis is on the applications of all types of parallel computers, which is reflected by the invited and contributed papers and posters included in these proceedings. The following topic areas are covered: Applications: Various aspects of the application of parallel computers, including simulation, flow calculations, sorting, image processing, industrial computing, financial applications, optimisation, linear algebra. Software: Software engineering for application development, including programming environments, object oriented methods, data parallelism, languages, compilers, monitoring and debugging, operating systems, scheduling, load balancing, threads.Hardware: Systolic processors, networks, communication, performance measurement and analysis.Industrial
Author: George Antoniou
Publisher: World Scientific
ISBN: 9810247591
Category : Computers
Languages : en
Pages : 497
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Book Description
This book is a balanced presentation of the latest techniques, algorithms and applications in computer science and engineering. The papers, written by eminent researchers in their fields, provide a vehicle for new research and development.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)
Author: K. Gallivan
Publisher: SIAM
ISBN: 9781611971705
Category : Mathematics
Languages : en
Pages : 207
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Book Description
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: Xiaoye S. Li
Publisher:
ISBN:
Category : Decomposition (Mathematics)
Languages : en
Pages : 350
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Book Description
Abstract: "This dissertation presents new techniques for solving large sparse unsymmetric linear systems on high performance computers, using Gaussian elimination with partial pivoting. The efficiencies of the new algorithms are demonstrated for matrices from various fields and for a variety of high performance machines. In the first part we discuss optimizations of a sequential algorithm to exploit the memory hierarchies that exist in most RISC-based superscalar computers. We begin with the left-looking supernode-column algorithm by Eisenstat, Gilbert and Liu, which includes Eisenstat and Liu's symmetric structural reduction for fast symbolic factorization. Our key contribution is to develop both numeric and symbolic schemes to perform supernode-panel updates to achieve better data reuse in cache and floating-point registers. A further refinement, a two-dimensional matrix partitioning scheme, enhances performance for large matrices or machines with small caches. We conduct extensive performance evaluations on several recent superscalar architectures, such as the IBM RS/6000-590, MIPS R8000 and DEC Alpha 21164, and show that our algorithm is much faster than its predecessors. The advantage is particularly evident for large problems. In addition, we develop a detailed model to systematically choose a set of blocking parameters in the algorithm. The second part focuses on the design, implementation and performance analysis of a shared memory parallel algorithm based on our new serial algorithm. We parallelize the computation along the column dimension of the matrix, assigning one block of columns (a panel) to a processor. The parallel algorithm retains the serial algorithm's ability to reuse cached data. We develop a dynamic scheduling mechanism to schedule tasks onto available processors. One merit of this approach is the ability to balance work load automatically. The algorithm attempts to schedule independent tasks to different processors. When this is not possible in the later stage of factorization, a pipeline approach is used to coordinate dependent computations. We demonstrate that the new parallel algorithm is very efficient on shared memory machines with modest numbers of processors, such as the SGI Power Challenge, DEC AlphaServer 8400, and Cray C90/J90. We also develop performance models to study available concurrency and identify performance bottlenecks."
Author: S. Noguchi
Publisher: IOS Press
ISBN: 9789051990935
Category : Computers
Languages : en
Pages : 288
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Book Description
Comprises discussions presented by leading international experts on the application of transputers. Coverage includes formalism, specifications and design, concurrent systems development, parallel algorithms, real time systems and applications.
Author: Andrzej Marian Goscinski
Publisher: World Scientific
ISBN: 9814545341
Category :
Languages : en
Pages : 792
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Book Description
The IEEE Third International Conference on Algorithms and Architectures for Parallel Processing (ICA3PP-97) will be held in Melbourne, Australia from December 8th to 12th, 1997. The purpose of this important conference is to bring together developers and researchers from universities, industry and government to advance science and technology in distributed and parallel systems and processing.
Author: David E. Keyes
Publisher: Springer Science & Business Media
ISBN: 9401154120
Category : Mathematics
Languages : en
Pages : 403
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Book Description
In this volume, designed for computational scientists and engineers working on applications requiring the memories and processing rates of large-scale parallelism, leading algorithmicists survey their own field-defining contributions, together with enough historical and bibliographical perspective to permit working one's way to the frontiers. This book is distinguished from earlier surveys in parallel numerical algorithms by its extension of coverage beyond core linear algebraic methods into tools more directly associated with partial differential and integral equations - though still with an appealing generality - and by its focus on practical medium-granularity parallelism, approachable through traditional programming languages. Several of the authors used their invitation to participate as a chance to stand back and create a unified overview, which nonspecialists will appreciate.
