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Author :
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (317 download)
Download or read book A Parallel Solution for the Symmetric Eigenproblem written by and published by . This book was released on 1987 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yale University. Dept. of Computer Science
Publisher :
ISBN 13 :
Total Pages : 82 pages
Book Rating : 4.:/5 (218 download)
Download or read book Parallel Solution of the Symmetric Tridiagonal Eigenproblem written by Yale University. Dept. of Computer Science and published by . This book was released on 1989 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis concludes with adaptations of methods for the symmetric tridiagonal eigenproblem to the related problem of computing the singular value decomposition (SVD) of a bidiagonal matrix."
Author : Jack Dongarra
Publisher : Springer Science & Business Media
ISBN 13 : 9783540587125
Total Pages : 584 pages
Book Rating : 4.5/5 (871 download)
Download or read book Parallel Scientific Computing written by Jack Dongarra and published by Springer Science & Business Media. This book was released on 1994-11-23 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the First International workshop on Parallel Scientific Computing, PARA '94, held in Lyngby, Denmark in June 1994. It reports interdisciplinary work done by mathematicians, scientists and engineers working on large-scale computational problems in discussion with computer science specialists in the field of parallel methods and the efficient exploitation of modern high-performance computing resources. The 53 full refereed papers provide a wealth of new results: an up-to-date overview on high-speed computing facilities, including different parallel and vector computers as well as workstation clusters, is given and the most important numerical algorithms, with a certain emphasis on computational linear algebra, are investigated.
Author :
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.:/5 (727 download)
Download or read book A Parallel Algorithm for the Non-symmetric Eigenvalue Problem written by and published by . This book was released on 1991 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper describes a parallel algorithm for computing the eigenvalues and eigenvectors of a non-symmetric matrix. The algorithm is based on a divide-and-conquer procedure and uses an iterative refinement technique.
Author : Jack J. Dongarra
Publisher :
ISBN 13 :
Total Pages : 148 pages
Book Rating : 4.:/5 (255 download)
Download or read book A Parallel Algorithm for the Non-symmetric Eigenvalue Problem written by Jack J. Dongarra and published by . This book was released on 1991 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "This paper describes a parallel algorithm for computing the eigenvalues and eigenvectors of a non-symmetric matrix. The algorithm is based on a divide-and-conquer procedure and uses an iterative refinement technique."
Author : Tetsuya Sakurai
Publisher : Springer
ISBN 13 : 3319624261
Total Pages : 312 pages
Book Rating : 4.3/5 (196 download)
Download or read book Eigenvalue Problems: Algorithms, Software and Applications in Petascale Computing written by Tetsuya Sakurai and published by Springer. This book was released on 2018-01-03 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides state-of-the-art and interdisciplinary topics on solving matrix eigenvalue problems, particularly by using recent petascale and upcoming post-petascale supercomputers. It gathers selected topics presented at the International Workshops on Eigenvalue Problems: Algorithms; Software and Applications, in Petascale Computing (EPASA2014 and EPASA2015), which brought together leading researchers working on the numerical solution of matrix eigenvalue problems to discuss and exchange ideas – and in so doing helped to create a community for researchers in eigenvalue problems. The topics presented in the book, including novel numerical algorithms, high-performance implementation techniques, software developments and sample applications, will contribute to various fields that involve solving large-scale eigenvalue problems.
Author : Peter Arbenz
Publisher : Nova Publishers
ISBN 13 : 9781560725947
Total Pages : 228 pages
Book Rating : 4.7/5 (259 download)
Download or read book High Performance Algorithms for Structured Matrix Problems written by Peter Arbenz and published by Nova Publishers. This book was released on 1998 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprises 10 contributions that summarize the state of the art in the areas of high performance solutions of structured linear systems and structured eigenvalue and singular-value problems. Topics covered range from parallel solvers for sparse or banded linear systems to parallel computation of eigenvalues and singular values of tridiagonal and bidiagonal matrices. Specific paper topics include: the stable parallel solution of general narrow banded linear systems; efficient algorithms for reducing banded matrices to bidiagonal and tridiagonal form; a numerical comparison of look-ahead Levinson and Schur algorithms for non-Hermitian Toeplitz systems; and parallel CG-methods automatically optimized for PC and workstation clusters. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Gaylen A. Thurston
Publisher :
ISBN 13 :
Total Pages : 48 pages
Book Rating : 4.:/5 (317 download)
Download or read book Solution of the Symmetric Eigenproblem AX written by Gaylen A. Thurston and published by . This book was released on 1986 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ricardo D. Pantazis
Publisher :
ISBN 13 :
Total Pages : 254 pages
Book Rating : 4.:/5 (244 download)
Download or read book Parallel Solution of Generalized Symmetric Eigenvalue Problems written by Ricardo D. Pantazis and published by . This book was released on 1991 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jose M.L.M. Palma
Publisher : Springer Science & Business Media
ISBN 13 : 3540419993
Total Pages : 589 pages
Book Rating : 4.5/5 (44 download)
Download or read book Vector and Parallel Processing - VECPAR 2000 written by Jose M.L.M. Palma and published by Springer Science & Business Media. This book was released on 2001-04-18 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 4th International Conference on Vector and Parallel Processing, VECPAR 2000, held in Porto, Portugal, in June 2000. The 40 revised full papers presented were carefully selected and improved during two rounds of reviewing. The papers are orgainized in topical sections on computational grids - languages and tools in multiplatform environments, cellular automata and applications in computational physics, linear and non-linear algebra, imaging, and finite/discrete elements in engineering applications.
Author : Efstratios Gallopoulos
Publisher : Springer
ISBN 13 : 940177188X
Total Pages : 489 pages
Book Rating : 4.4/5 (17 download)
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.
Author : Jose M.L.M. Palma
Publisher : Springer
ISBN 13 : 3540485163
Total Pages : 721 pages
Book Rating : 4.5/5 (44 download)
Download or read book Vector and Parallel Processing - VECPAR'98 written by Jose M.L.M. Palma and published by Springer. This book was released on 2006-10-11 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the Third International Conference on Vector and Parallel Processing, VECPAR'98, held in Porto, Portugal, in June 1998. The 41 revised full papers presented were carefully selected during two rounds of reviewing and revision. Also included are six invited papers and introductory chapter surveys. The papers are organized in sections on eigenvalue problems and solutions of linear systems; computational fluid dynamics, structural analysis, and mesh partitioning; computing in education; computer organization, programming and benchmarking; image analysis and synthesis; parallel database servers; and nonlinear problems.
Author : Institute for Computer Applications in Science and Engineering
Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.:/5 (317 download)
Download or read book The Use of Lanczo's Method to Solve the Large Generalized Symmetric Eigenvalue Problem in Parallel written by Institute for Computer Applications in Science and Engineering and published by . This book was released on 1990 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: The generalized eigenvalue problem, Kx=LamdaMx, is of significant practical importance, especially in structural engineering where it arises as the vibration and buckling problems. New software, LANZ, based on Lanczo's method has been developed for solving these problems and uns on SUN 3, SUN 4, Convex C-220, Cray 2, and Cray Y-MP systems. Preliminary results of using the Force to obtain a multiprocessor implementation of LANZ on MIMD parallel/vector systems are reported here. A parallel execution time model of LANZ is defined and used to predict the performance of LANZ as well as examine hypothetical modifications to LANZ. The results of using dynamic shifting to improve parallelism are presented. Finally, the results of assigning a group of processors to separate shifts and finding all the desired eigenvalues using LANZ in parallel are reported. Keywords: Eigenvalues; Parallel orientation; Mathematical methods; Computer software; Computer systems. (cp).
Author : Beresford N. Parlett
Publisher : SIAM
ISBN 13 : 9781611971163
Total Pages : 422 pages
Book Rating : 4.9/5 (711 download)
Download or read book The Symmetric Eigenvalue Problem written by Beresford N. Parlett and published by SIAM. This book was released on 1998-01-01 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: According to Parlett, "Vibrations are everywhere, and so too are the eigenvalues associated with them. As mathematical models invade more and more disciplines, we can anticipate a demand for eigenvalue calculations in an ever richer variety of contexts." Anyone who performs these calculations will welcome the reprinting of Parlett's book (originally published in 1980). In this unabridged, amended version, Parlett covers aspects of the problem that are not easily found elsewhere. The chapter titles convey the scope of the material succinctly. The aim of the book is to present mathematical knowledge that is needed in order to understand the art of computing eigenvalues of real symmetric matrices, either all of them or only a few. The author explains why the selected information really matters and he is not shy about making judgments. The commentary is lively but the proofs are terse. The first nine chapters are based on a matrix on which it is possible to make similarity transformations explicitly. The only source of error is inexact arithmetic. The last five chapters turn to large sparse matrices and the task of making approximations and judging them.
Author : Xiulin Zou
Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.3/5 (129 download)
Download or read book Quasi-Laguerre's Method and Its Parallel Implementation on Solving Symmetric Tridiagonal Eigenvalue Problems written by Xiulin Zou and published by . This book was released on 1995 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David A. Yuen
Publisher : Springer Science & Business Media
ISBN 13 : 3642164056
Total Pages : 677 pages
Book Rating : 4.6/5 (421 download)
Download or read book GPU Solutions to Multi-scale Problems in Science and Engineering written by David A. Yuen and published by Springer Science & Business Media. This book was released on 2013-01-09 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the new topic of GPU computing with many applications involved, taken from diverse fields such as networking, seismology, fluid mechanics, nano-materials, data-mining , earthquakes ,mantle convection, visualization. It will show the public why GPU computing is important and easy to use. It will offer a reason why GPU computing is useful and how to implement codes in an everyday situation.
Author : Thomas C. Allison
Publisher : CRC Press
ISBN 13 : 1420060864
Total Pages : 432 pages
Book Rating : 4.4/5 (2 download)
Download or read book Metallic Systems written by Thomas C. Allison and published by CRC Press. This book was released on 2011-05-09 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metallic systems are ubiquitous in daily life. They play key roles, for example, in the chemistry of many biomolecules, ionic solutions, nanoparticles, and catalytic processes. They may be in solid, liquid, or gaseous form. The interactions of other molecules with metal surfaces are of considerable importance. Each of these topics is addressed in M
