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Author: Ken Stanley
Publisher:
ISBN:
Category : Decomposition (Mathematics)
Languages : en
Pages : 398
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Book Description
Abstract: "The execution time of a symmetric eigendecomposition depends upon the application, the algorithm, the implementation, and the computer. Symmetric eigensolvers are used in a variety of applications, and the requirements of the eigensolver vary from application to application. Many different algorithms can be used to perform a symmetric eigendecompostion [sic], each with differing computational properties. Different implementations of the same algorithm may also have greatly differing computational properties. The computer on which the eigensolver is run not only affects execution time but may favor certain algorithms and implementations over others. This thesis explains the performance of the ScaLAPACK symmetric eigensolver, the algorithms that it uses, and other important algorithms for solving the symmetric eigenproblem on today's fastest computers. We offer advice on how to pick the best eigensolver for particular situations and propose a design for the next ScaLAPACK symmetric eigensolver which will offer greater flexibility and 50% better performance."
Author: Ken Stanley
Publisher:
ISBN:
Category : Decomposition (Mathematics)
Languages : en
Pages : 398
Get Book Here
Book Description
Abstract: "The execution time of a symmetric eigendecomposition depends upon the application, the algorithm, the implementation, and the computer. Symmetric eigensolvers are used in a variety of applications, and the requirements of the eigensolver vary from application to application. Many different algorithms can be used to perform a symmetric eigendecompostion [sic], each with differing computational properties. Different implementations of the same algorithm may also have greatly differing computational properties. The computer on which the eigensolver is run not only affects execution time but may favor certain algorithms and implementations over others. This thesis explains the performance of the ScaLAPACK symmetric eigensolver, the algorithms that it uses, and other important algorithms for solving the symmetric eigenproblem on today's fastest computers. We offer advice on how to pick the best eigensolver for particular situations and propose a design for the next ScaLAPACK symmetric eigensolver which will offer greater flexibility and 50% better performance."
Author: Tetsuya Sakurai
Publisher: Springer
ISBN: 3319624261
Category : Computers
Languages : en
Pages : 312
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Book Description
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: L. S. Blackford
Publisher: SIAM
ISBN: 9780898713978
Category : Mathematics
Languages : en
Pages : 362
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Book Description
ScaLAPACK is an acronym for Scalable Linear Algebra Package or Scalable LAPACK. It is a library of high-performance linear algebra routines for distributed memory message-passing MIMD computers and networks of workstations supporting parallel virtual machine (PVM) and/or message passing interface (MPI). It is a continuation of the LAPACK project, which designed and produced analogous software for workstations, vector supercomputers, and shared memory parallel computers. Both libraries contain routines for solving systems of linear equations, least squares problems, and eigenvalue problems. The goals of both projects are efficiency, scalability, reliability, portability, flexibility, and ease of use. ScaLAPACK includes routines for the solution of dense, band, and tridiagonal linear systems of equations, condition estimation and iterative refinement, for LU and Cholesky factorization, matrix inversion, full-rank linear least squares problems, orthogonal and generalized orthogonal factorizations, orthogonal transformation routines, reductions to upper Hessenberg, bidiagonal and tridiagonal form, reduction of a symmetric-definite/ Hermitian-definite generalized eigenproblem to standard form, the symmetric/Hermitian, generalized symmetric/Hermitian, and nonsymmetric eigenproblem, and the singular value decomposition. Prototype codes are provided for out-of-core linear solvers for LU, Cholesky, and QR, the matrix sign function for eigenproblems, an HPF interface to a subset of ScaLAPACK routines, and SuperLU. Software is available in single-precision real, double-precision real, single-precision complex, and double-precision complex. The software has been written to be portable across a wide range of distributed-memory environments such as the Cray T3, IBM SP, Intel series, TM CM-5, networks of workstations, and any system for which PVM or MPI is available. Each Users' Guide includes a CD-ROM containing the HTML version of the ScaLAPACK Users' Guide, the source code for ScaLAPACK and LAPACK, testing and timing programs, prebuilt versions of the library for a number of computers, example programs, and the full set of LAPACK Working Notes.
Author: José M. Laginha M. Palma
Publisher: Springer Science & Business Media
ISBN: 3642193277
Category : Computers
Languages : en
Pages : 483
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Book Description
This book constitutes the thoroughly refereed post-conference proceedings of the 9th International Conference on High Performance Computing for Computational Science, VECPAR 2010, held in Berkeley, CA, USA, in June 2010. The 34 revised full papers presented together with five invited contributions were carefully selected during two rounds of reviewing and revision. The papers are organized in topical sections on linear algebra and solvers on emerging architectures, large-scale simulations, parallel and distributed computing, numerical algorithms.
Author:
Publisher:
ISBN:
Category : Mathematical statistics
Languages : en
Pages : 924
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Book Description
Author: Kristján Jónasson
Publisher: Springer
ISBN: 3642281516
Category : Computers
Languages : en
Pages : 364
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Book Description
The two volume set LNCS 7133 and LNCS 7134 constitutes the thoroughly refereed post-conference proceedings of the 10th International Conference on Applied Parallel and Scientific Computing, PARA 2010, held in Reykjavík, Iceland, in June 2010. These volumes contain three keynote lectures, 29 revised papers and 45 minisymposia presentations arranged on the following topics: cloud computing, HPC algorithms, HPC programming tools, HPC in meteorology, parallel numerical algorithms, parallel computing in physics, scientific computing tools, HPC software engineering, simulations of atomic scale systems, tools and environments for accelerator based computational biomedicine, GPU computing, high performance computing interval methods, real-time access and processing of large data sets, linear algebra algorithms and software for multicore and hybrid architectures in honor of Fred Gustavson on his 75th birthday, memory and multicore issues in scientific computing - theory and praxis, multicore algorithms and implementations for application problems, fast PDE solvers and a posteriori error estimates, and scalable tools for high performance computing.
Author:
Publisher:
ISBN:
Category : Computer engineering
Languages : en
Pages : 604
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Book Description
Author: Jack Dongarra
Publisher: Springer Science & Business Media
ISBN: 3540290672
Category : Computers
Languages : en
Pages : 1195
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Book Description
This book constitutes the refereed proceedings of the 7th International Conference on Applied Parallel Computing, PARA 2004, held in June 2004. The 118 revised full papers presented together with five invited lectures and 15 contributed talks were carefully reviewed and selected for inclusion in the proceedings. The papers are organized in topical sections.
Author: José M. Laginha M. Palma
Publisher: Springer Science & Business Media
ISBN: 3540928588
Category : Computers
Languages : en
Pages : 612
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Book Description
This book constitutes the thoroughly refereed post-conference proceedings of the 8th International Conference on High Performance Computing for Computational Science, VECPAR 2008, held in Toulouse, France, in June 2008. The 51 revised full papers presented together with the abstract of a surveying and look-ahead talk were carefully reviewed and selected from 73 submissions. The papers are organized in topical sections on parallel and distributed computing, cluster and grid computing, problem solving environment and data centric, numerical methods, linear algebra, computing in geosciences and biosciences, imaging and graphics, computing for aerospace and engineering, and high-performance data management in grid environments.
Author: Mario R. Guarracino
Publisher: Springer
ISBN: 3642218784
Category : Computers
Languages : en
Pages : 684
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Book Description
This book constitutes thoroughly refereed post-conference proceedings of the workshops of the 16th International Conference on Parallel Computing, Euro-Par 2010, held in Ischia, Italy, in August/September 2010. The papers of these 9 workshops HeteroPar, HPCC, HiBB, CoreGrid, UCHPC, HPCF, PROPER, CCPI, and VHPC focus on promotion and advancement of all aspects of parallel and distributed computing.
