Download or read book S step Lanczos and Arnoldi Methods on Parallel Computers written by Sun Kyung Kim and published by . This book was released on 1989 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "In this paper, we introduce s-step Lanczos and Arnoldi methods for finding a few eigenvalues of a large sparse matrix, and we prove that s-step methods generate reduction matrices which are similar to reduction matrices generated by standard ones. One iteration of s-step Lanczos and Arnoldi algorithms corresponds to s iterations of the standard Lanczos and Arnoldi algorithms, and s-step methods have improved data locality and minimized global communication and superior parallel properties to the standard ones. We implemented s-step Lanczos and Arnoldi methods on CRAY-2 and NCUBE/7 Hypercube and discuss the speedup of s-step methods to the standard ones."
Download or read book A Class of Parallel Lanczos like Algorithms Implemented on Parallel Computers written by Sun Kyung Kim and published by . This book was released on 1989 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Furthermore, s-step Lanczos and Arnoldi algorithms are introduced, and one iteration of these developed algorithms corresponds to s iterations of the standard Lanczos and Arnoldi algorithms. In this paper, 2-step Lanczos and Arnoldi algorithms are described and s-step(s>2) algorithms will be presented in the future. These methods are derived similarly to s-step Conjugate Gradient methods [2,3], and are expected to have superior parallel properties to the standard ones."
Download or read book A Class of Parallel Methods for Computing a Few Extreme Eigenelements of Large Sparse Matrices Implemented on Parallel Computers written by Sun Kyung Kim and published by . This book was released on 1991 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Methods and Tools of Parallel Programming Multicomputers written by Ching-Hsien Hsu and published by Springer. This book was released on 2010-09-25 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is our great pleasure to present the proceedings of the second Russia–Taiwan Symposium on Methods and Tools of Parallel Programming (MTPP 2010). MTPP is the main regular event of the Russia–Taiwan scientific forum that covers the many dimensions of methods and tools of parallel programming, algorithms and architectures, encompassing fundamental theoretical approaches, practical experimental projects, and commercial components and systems. As applications of computing systems have permeated every aspect of daily life, the power of computing systems has become increasingly critical. Therefore, MTPP is intended to play an important role allowing researchers to exchange information regarding advancements in the state of the art and practice of IT-driven services and applications, as well as to identify emerging research topics and define the future directions of parallel computing. We received a large number of high-quality submissions this year. In the first stage, all papers submitted were screened for their relevance and general submission requirements. These manuscripts then underwent a rigorous peer-review process with at least three reviewers per paper. At the end, 33 papers were accepted for presentation and included in the main proceedings. To encourage and promote the work presented at MTPP 2010, we are delighted to inform the authors that some of the papers will be accepted in special issues of the Journal of Supercomputing, which has played a prominent role in promoting the development and use of parallel and distributed processing.
Download or read book The Lanczos Method written by Louis Komzsik and published by SIAM. This book was released on 2003-01-01 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: A valuable reference on the Lanczos method for graduate numerical analysts and engineers.
Download or read book Parallel Numerical Linear Algebra written by J. J. Dongarra and published by Nova Science Publishers. This book was released on 2001 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: A Java-Based Distributed Debugger Supporting MPI and PVM; On Encoding Neural Networks to Estimate the Atmospheric Point Spread Function in a Parallel Environment; A Comparison of Parallel Solvers for Diagonally Dominant and General Narrow-Banded Linear Systems; Mapping Strategies in Data Parallel Programming Models; the Projection Methods; Parallel Multiplication of a Vector by a Kronecker Product of Matrices; Parallel Sparse Matrix Algorithms for Air Pollution Models; Band Preconditioners -- Application to Preconditioned Conjugate Gradient Methods on Parallel Computers.
Download or read book Handbook of Parallel Computing and Statistics written by Erricos John Kontoghiorghes and published by CRC Press. This book was released on 2005-12-21 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Technological improvements continue to push back the frontier of processor speed in modern computers. Unfortunately, the computational intensity demanded by modern research problems grows even faster. Parallel computing has emerged as the most successful bridge to this computational gap, and many popular solutions have emerged based on its concepts
Download or read book Numerical Linear Algebra on High Performance Computers written by Jack J. Dongarra and published by SIAM. This book was released on 1998-01-01 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a rapid introduction to the world of vector and parallel processing for these linear algebra applications.
Download or read book Parallel Numerical Algorithms written by David E. Keyes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Krylov Methods for Nonsymmetric Linear Systems written by Gérard Meurant and published by Springer Nature. This book was released on 2020-10-02 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to give an encyclopedic overview of the state-of-the-art of Krylov subspace iterative methods for solving nonsymmetric systems of algebraic linear equations and to study their mathematical properties. Solving systems of algebraic linear equations is among the most frequent problems in scientific computing; it is used in many disciplines such as physics, engineering, chemistry, biology, and several others. Krylov methods have progressively emerged as the iterative methods with the highest efficiency while being very robust for solving large linear systems; they may be expected to remain so, independent of progress in modern computer-related fields such as parallel and high performance computing. The mathematical properties of the methods are described and analyzed along with their behavior in finite precision arithmetic. A number of numerical examples demonstrate the properties and the behavior of the described methods. Also considered are the methods’ implementations and coding as Matlab®-like functions. Methods which became popular recently are considered in the general framework of Q-OR (quasi-orthogonal )/Q-MR (quasi-minimum) residual methods. This book can be useful for both practitioners and for readers who are more interested in theory. Together with a review of the state-of-the-art, it presents a number of recent theoretical results of the authors, some of them unpublished, as well as a few original algorithms. Some of the derived formulas might be useful for the design of possible new methods or for future analysis. For the more applied user, the book gives an up-to-date overview of the majority of the available Krylov methods for nonsymmetric linear systems, including well-known convergence properties and, as we said above, template codes that can serve as the base for more individualized and elaborate implementations.
Download or read book The Lanczos Method written by Louis Komzsik and published by SIAM. This book was released on 2003-01-01 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Lanczos Method: Evolution and Application is divided into two distinct parts. The first part reviews the evolution of one of the most widely used numerical techniques in the industry. The development of the method, as it became more robust, is demonstrated through easy-to-understand algorithms. The second part contains industrial applications drawn from the author's experience. These chapters provide a unique interaction between the numerical algorithms and their engineering applications.
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 Parallel Computing written by D.J Evans and published by CRC Press. This book was released on 2020-11-25 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parallel Computing: Methods, Algorithms and Applications presents a collection of original papers presented at the international meeting on parallel processing, methods, algorithms, and applications at Verona, Italy in September 1989.
Download or read book High Performance Computing and Networking written by and published by Springer Science & Business Media. This book was released on 1994 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: High-performance computing and networking (HPCN) is driven by several initiatives in Europe, the United States, and Japan. In Europe several groups encouraged the Commission of the European Communities to start an HPCN programme. This two-volume work presents the proceedings of HPCN Europe 1994. Volume 2 includes sections on: networking, future European cooperative working possibilities in industry and research, HPCN computer centers aspects, performance evaluation and benchmarking, numerical algorithms for engineering, domain decomposition in engineering, parallel programming environments, load balancing and performance optimization, monitoring, debugging, and fault tolerance, programming languages in HPC, compilers and data parallel structures, architectural aspects, and late papers.
Download or read book A Journey through the History of Numerical Linear Algebra written by Claude Brezinski and published by SIAM. This book was released on 2022-12-06 with total page 813 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expansive volume describes the history of numerical methods proposed for solving linear algebra problems, from antiquity to the present day. The authors focus on methods for linear systems of equations and eigenvalue problems and describe the interplay between numerical methods and the computing tools available at the time. The second part of the book consists of 78 biographies of important contributors to the field. A Journey through the History of Numerical Linear Algebra will be of special interest to applied mathematicians, especially researchers in numerical linear algebra, people involved in scientific computing, and historians of mathematics.
Download or read book Implicity Restarted Arnoldi Lanczos Methods for Large Scale Eigenvalue Calculations written by and published by . This book was released on 1996 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Parallel Scientific Computing in C and MPI written by George Karniadakis and published by Cambridge University Press. This book was released on 2003-06-16 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accompanying CD-ROM has a software suite containing all the functions and programs discussed.
