Parallel Iterative Algorithms

Author : Jacques Mohcine Bahi,Sylvain Contassot-Vivier,Raphael Couturier
Publisher : CRC Press
Page : 237 pages
File Size : 47,5 Mb
Release : 2007-11-28
Category : Computers
ISBN : 9781584888093

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Parallel Iterative Algorithms by Jacques Mohcine Bahi,Sylvain Contassot-Vivier,Raphael Couturier Pdf

Focusing on grid computing and asynchronism, Parallel Iterative Algorithms explores the theoretical and practical aspects of parallel numerical algorithms. Each chapter contains a theoretical discussion of the topic, an algorithmic section that fully details implementation examples and specific algorithms, and an evaluation of the advantages and dr

Author : Jacques Mohcine Bahi
Publisher : Unknown
Page : 217 pages
File Size : 44,7 Mb
Release : 2008
Category : Computational grids (Computer systems)
ISBN : OCLC:311790682

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Parallel Iterative Algorithms by Jacques Mohcine Bahi Pdf

Providing the theoretical and practical knowledge needed to design and implement efficient parallel iterative algorithms, this book illustrates how to apply these algorithms to solve linear and nonlinear numerical problems in parallel environments, including local, distant, homogeneous, and heterogeneous clusters.

Author : Fayez Gebali
Publisher : John Wiley & Sons
Page : 372 pages
File Size : 44,8 Mb
Release : 2011-03-29
Category : Computers
ISBN : 9780470934630

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Algorithms and Parallel Computing by Fayez Gebali Pdf

There is a software gap between the hardware potential and the performance that can be attained using today's software parallel program development tools. The tools need manual intervention by the programmer to parallelize the code. Programming a parallel computer requires closely studying the target algorithm or application, more so than in the traditional sequential programming we have all learned. The programmer must be aware of the communication and data dependencies of the algorithm or application. This book provides the techniques to explore the possible ways to program a parallel computer for a given application.

Author : Yousef Saad
Publisher : SIAM
Page : 537 pages
File Size : 47,7 Mb
Release : 2003-04-01
Category : Mathematics
ISBN : 9780898715347

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Iterative Methods for Sparse Linear Systems by Yousef Saad Pdf

Mathematics of Computing -- General.

Author : James M. Ortega
Publisher : Springer Science & Business Media
Page : 309 pages
File Size : 47,5 Mb
Release : 2013-06-29
Category : Computers
ISBN : 9781489921123

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Introduction to Parallel and Vector Solution of Linear Systems by James M. Ortega Pdf

Although the origins of parallel computing go back to the last century, it was only in the 1970s that parallel and vector computers became available to the scientific community. The first of these machines-the 64 processor llliac IV and the vector computers built by Texas Instruments, Control Data Corporation, and then CRA Y Research Corporation-had a somewhat limited impact. They were few in number and available mostly to workers in a few government laboratories. By now, however, the trickle has become a flood. There are over 200 large-scale vector computers now installed, not only in government laboratories but also in universities and in an increasing diversity of industries. Moreover, the National Science Foundation's Super computing Centers have made large vector computers widely available to the academic community. In addition, smaller, very cost-effective vector computers are being manufactured by a number of companies. Parallelism in computers has also progressed rapidly. The largest super computers now consist of several vector processors working in parallel. Although the number of processors in such machines is still relatively small (up to 8), it is expected that an increasing number of processors will be added in the near future (to a total of 16 or 32). Moreover, there are a myriad of research projects to build machines with hundreds, thousands, or even more processors. Indeed, several companies are now selling parallel machines, some with as many as hundreds, or even tens of thousands, of processors.

Author : David R. Kincaid,Linda J. Hayes
Publisher : Academic Press
Page : 350 pages
File Size : 51,6 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483260204

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Iterative Methods for Large Linear Systems by David R. Kincaid,Linda J. Hayes Pdf

Iterative Methods for Large Linear Systems contains a wide spectrum of research topics related to iterative methods, such as searching for optimum parameters, using hierarchical basis preconditioners, utilizing software as a research tool, and developing algorithms for vector and parallel computers. This book provides an overview of the use of iterative methods for solving sparse linear systems, identifying future research directions in the mainstream of modern scientific computing with an eye to contributions of the past, present, and future. Different iterative algorithms that include the successive overrelaxation (SOR) method, symmetric and unsymmetric SOR methods, local (ad-hoc) SOR scheme, and alternating direction implicit (ADI) method are also discussed. This text likewise covers the block iterative methods, asynchronous iterative procedures, multilevel methods, adaptive algorithms, and domain decomposition algorithms. This publication is a good source for mathematicians and computer scientists interested in iterative methods for large linear systems.

Author : M H Alsuwaiyel
Publisher : World Scientific
Page : 400 pages
File Size : 50,7 Mb
Release : 2022-05-30
Category : Computers
ISBN : 9789811252990

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Parallel Algorithms by M H Alsuwaiyel Pdf

This book is an introduction to the field of parallel algorithms and the underpinning techniques to realize the parallelization. The emphasis is on designing algorithms within the timeless and abstracted context of a high-level programming language. The focus of the presentation is on practical applications of the algorithm design using different models of parallel computation. Each model is illustrated by providing an adequate number of algorithms to solve some problems that quite often arise in many applications in science and engineering.The book is largely self-contained, presuming no special knowledge of parallel computers or particular mathematics. In addition, the solutions to all exercises are included at the end of each chapter.The book is intended as a text in the field of the design and analysis of parallel algorithms. It includes adequate material for a course in parallel algorithms at both undergraduate and graduate levels.

Author : Dimitri Bertsekas,John Tsitsiklis
Publisher : Athena Scientific
Page : 832 pages
File Size : 45,9 Mb
Release : 2015-03-01
Category : Mathematics
ISBN : 9781886529151

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Parallel and Distributed Computation: Numerical Methods by Dimitri Bertsekas,John Tsitsiklis Pdf

This highly acclaimed work, first published by Prentice Hall in 1989, is a comprehensive and theoretically sound treatment of parallel and distributed numerical methods. It focuses on algorithms that are naturally suited for massive parallelization, and it explores the fundamental convergence, rate of convergence, communication, and synchronization issues associated with such algorithms. This is an extensive book, which aside from its focus on parallel and distributed algorithms, contains a wealth of material on a broad variety of computation and optimization topics. It is an excellent supplement to several of our other books, including Convex Optimization Algorithms (Athena Scientific, 2015), Nonlinear Programming (Athena Scientific, 1999), Dynamic Programming and Optimal Control (Athena Scientific, 2012), Neuro-Dynamic Programming (Athena Scientific, 1996), and Network Optimization (Athena Scientific, 1998). The on-line edition of the book contains a 95-page solutions manual.

Author : Efstratios Gallopoulos,Bernard Philippe,Ahmed H. Sameh
Publisher : Springer
Page : 489 pages
File Size : 54,5 Mb
Release : 2015-07-25
Category : Technology & Engineering
ISBN : 9789401771887

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Parallelism in Matrix Computations by Efstratios Gallopoulos,Bernard Philippe,Ahmed H. Sameh Pdf

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 : Fayez Gebali
Publisher : John Wiley & Sons
Page : 372 pages
File Size : 48,5 Mb
Release : 2011-04-19
Category : Computers
ISBN : 9780470902103

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Algorithms and Parallel Computing by Fayez Gebali Pdf

There is a software gap between the hardware potential and the performance that can be attained using today's software parallel program development tools. The tools need manual intervention by the programmer to parallelize the code. Programming a parallel computer requires closely studying the target algorithm or application, more so than in the traditional sequential programming we have all learned. The programmer must be aware of the communication and data dependencies of the algorithm or application. This book provides the techniques to explore the possible ways to program a parallel computer for a given application.

Author : Dimitri P. Bertsekas,John N. Tsitsiklis,Center for Intelligent Control Systems (U.S.),Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
Publisher : Unknown
Page : 33 pages
File Size : 46,8 Mb
Release : 1989
Category : Electronic data processing
ISBN : OCLC:20940727

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Parallel and Distributed Iterative Algorithms, a Survey of Some Aspects of by Dimitri P. Bertsekas,John N. Tsitsiklis,Center for Intelligent Control Systems (U.S.),Massachusetts Institute of Technology. Laboratory for Information and Decision Systems Pdf

Author : Yousef Saad
Publisher : SIAM
Page : 546 pages
File Size : 51,6 Mb
Release : 2003-01-01
Category : Mathematics
ISBN : 0898718007

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Iterative Methods for Sparse Linear Systems by Yousef Saad Pdf

Since the first edition of this book was published in 1996, tremendous progress has been made in the scientific and engineering disciplines regarding the use of iterative methods for linear systems. The size and complexity of the new generation of linear and nonlinear systems arising in typical applications has grown. Solving the three-dimensional models of these problems using direct solvers is no longer effective. At the same time, parallel computing has penetrated these application areas as it became less expensive and standardized. Iterative methods are easier than direct solvers to implement on parallel computers but require approaches and solution algorithms that are different from classical methods. Iterative Methods for Sparse Linear Systems, Second Edition gives an in-depth, up-to-date view of practical algorithms for solving large-scale linear systems of equations. These equations can number in the millions and are sparse in the sense that each involves only a small number of unknowns. The methods described are iterative, i.e., they provide sequences of approximations that will converge to the solution.

Author : Alan Gibbons,Wojciech Rytter
Publisher : Cambridge University Press
Page : 280 pages
File Size : 54,9 Mb
Release : 1989-11-24
Category : Computers
ISBN : 0521388414

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Efficient Parallel Algorithms by Alan Gibbons,Wojciech Rytter Pdf

Mathematics of Computing -- Parallelism.

Author : Marián Vajtersic
Publisher : Springer Science & Business Media
Page : 310 pages
File Size : 40,9 Mb
Release : 2013-03-09
Category : Computers
ISBN : 9789401707015

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Algorithms for Elliptic Problems by Marián Vajtersic Pdf

This volume deals with problems of modern effective algorithms for the numerical solution of the most frequently occurring elliptic partial differential equations. From the point of view of implementation, attention is paid to algorithms for both classical sequential and parallel computer systems. The first two chapters are devoted to fast algorithms for solving the Poisson and biharmonic equation. In the third chapter, parallel algorithms for model parallel computer systems of the SIMD and MIMD types are described. The implementation aspects of parallel algorithms for solving model elliptic boundary value problems are outlined for systems with matrix, pipeline and multiprocessor parallel computer architectures. A modern and popular multigrid computational principle which offers a good opportunity for a parallel realization is described in the next chapter. More parallel variants based in this idea are presented, whereby methods and assignments strategies for hypercube systems are treated in more detail. The last chapter presents VLSI designs for solving special tridiagonal linear systems of equations arising from finite-difference approximations of elliptic problems. For researchers interested in the development and application of fast algorithms for solving elliptic partial differential equations using advanced computer systems.

Author : Gene H. Golub,Paul Van Dooren
Publisher : Springer Science & Business Media
Page : 717 pages
File Size : 48,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642755361

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Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms by Gene H. Golub,Paul Van Dooren Pdf

Numerical linear algebra, digital signal processing, and parallel algorithms are three disciplines with a great deal of activity in the last few years. The interaction between them has been growing to a level that merits an Advanced Study Institute dedicated to the three areas together. This volume gives an account of the main results in this interdisciplinary field. The following topics emerged as major themes of the meeting: - Singular value and eigenvalue decompositions, including applications, - Toeplitz matrices, including special algorithms and architectures, - Recursive least squares in linear algebra, digital signal processing and control, - Updating and downdating techniques in linear algebra and signal processing, - Stability and sensitivity analysis of special recursive least squares problems, - Special architectures for linear algebra and signal processing. This book contains tutorials on these topics given by leading scientists in each of the three areas. A consider- able number of new research results are presented in contributed papers. The tutorials and papers will be of value to anyone interested in the three disciplines.