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Scalapack User S Guide


Scalapack User S Guide
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Scalapack Users Guide


Scalapack Users Guide
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Author : L. S. Blackford
language : en
Publisher: SIAM
Release Date : 1997-01-01

Scalapack Users Guide written by L. S. Blackford and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Mathematics categories.


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.



Scalapack User S Guide


Scalapack User S Guide
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Author : L. S. Blackford
language : en
Publisher: Society for Industrial and Applied Mathematics (SIAM)
Release Date : 1997

Scalapack User S Guide written by L. S. Blackford and has been published by Society for Industrial and Applied Mathematics (SIAM) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Algebras, Linear categories.


Accompanying CD-ROM includes HTML version of the ScaLAPACK User's Guide, the source code for the package, testing and timing programs, prebuilt versions of the library for a number of computers, example programs, and the full set of LAPACK working notes.



Lapack Users Guide


Lapack Users Guide
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Author : E. Anderson
language : en
Publisher: SIAM
Release Date : 1999-01-01

Lapack Users Guide written by E. Anderson and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01-01 with Mathematics categories.


LAPACK is a library of numerical linear algebra subroutines designed for high performance on workstations, vector computers, and shared memory multiprocessors. Release 3.0 of LAPACK introduces new routines and extends the functionality of existing routines.



Lapack95 Users Guide


Lapack95 Users Guide
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Author : V. A. Barker
language : en
Publisher: SIAM
Release Date : 2001-01-01

Lapack95 Users Guide written by V. A. Barker and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Technology & Engineering categories.


LAPACK95 Users' Guide provides an introduction to the design of the LAPACK95 package.



Arpack Users Guide


Arpack Users Guide
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Author : Richard B. Lehoucq
language : en
Publisher: SIAM
Release Date : 1998-01-01

Arpack Users Guide written by Richard B. Lehoucq and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Mathematics categories.


This book is a guide to understanding and using the software package ARPACK to solve large algebraic eigenvalue problems. The software described is based on the implicitly restarted Arnoldi method, which has been heralded as one of the three most important advances in large scale eigenanalysis in the past ten years. The book explains the acquisition, installation, capabilities, and detailed use of the software for computing a desired subset of the eigenvalues and eigenvectors of large (sparse) standard or generalized eigenproblems. It also discusses the underlying theory and algorithmic background at a level that is accessible to the general practitioner.



Implicit Filtering


Implicit Filtering
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Author : C. T. Kelley
language : en
Publisher: SIAM
Release Date : 2011-09-29

Implicit Filtering written by C. T. Kelley and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-29 with Mathematics categories.


A description of the implicit filtering algorithm, its convergence theory and a new MATLAB® implementation.



Graph Algorithms In The Language Of Linear Algebra


Graph Algorithms In The Language Of Linear Algebra
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Author : Jeremy Kepner
language : en
Publisher: SIAM
Release Date : 2011-01-01

Graph Algorithms In The Language Of Linear Algebra written by Jeremy Kepner and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-01 with Mathematics categories.


The current exponential growth in graph data has forced a shift to parallel computing for executing graph algorithms. Implementing parallel graph algorithms and achieving good parallel performance have proven difficult. This book addresses these challenges by exploiting the well-known duality between a canonical representation of graphs as abstract collections of vertices and edges and a sparse adjacency matrix representation. This linear algebraic approach is widely accessible to scientists and engineers who may not be formally trained in computer science. The authors show how to leverage existing parallel matrix computation techniques and the large amount of software infrastructure that exists for these computations to implement efficient and scalable parallel graph algorithms. The benefits of this approach are reduced algorithmic complexity, ease of implementation, and improved performance.



The Art Of Differentiating Computer Programs


The Art Of Differentiating Computer Programs
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Author : Uwe Naumann
language : en
Publisher: SIAM
Release Date : 2012-01-26

The Art Of Differentiating Computer Programs written by Uwe Naumann and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-26 with Mathematics categories.


In this entry-level book on algorithmic (also known as automatic) differentiation (AD) the author covers the mathematical underpinnings as well as applications to real-world numerical simulation programs. Readers will find many examples and exercises, including hints to solutions. A supplementary website contains software sources, additional exercises, useful links and errata.



Encyclopedia Of Parallel Computing


Encyclopedia Of Parallel Computing
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Author : David Padua
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-07-08

Encyclopedia Of Parallel Computing written by David Padua and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-08 with Computers categories.


Containing over 300 entries in an A-Z format, the Encyclopedia of Parallel Computing provides easy, intuitive access to relevant information for professionals and researchers seeking access to any aspect within the broad field of parallel computing. Topics for this comprehensive reference were selected, written, and peer-reviewed by an international pool of distinguished researchers in the field. The Encyclopedia is broad in scope, covering machine organization, programming languages, algorithms, and applications. Within each area, concepts, designs, and specific implementations are presented. The highly-structured essays in this work comprise synonyms, a definition and discussion of the topic, bibliographies, and links to related literature. Extensive cross-references to other entries within the Encyclopedia support efficient, user-friendly searchers for immediate access to useful information. Key concepts presented in the Encyclopedia of Parallel Computing include; laws and metrics; specific numerical and non-numerical algorithms; asynchronous algorithms; libraries of subroutines; benchmark suites; applications; sequential consistency and cache coherency; machine classes such as clusters, shared-memory multiprocessors, special-purpose machines and dataflow machines; specific machines such as Cray supercomputers, IBM’s cell processor and Intel’s multicore machines; race detection and auto parallelization; parallel programming languages, synchronization primitives, collective operations, message passing libraries, checkpointing, and operating systems. Topics covered: Speedup, Efficiency, Isoefficiency, Redundancy, Amdahls law, Computer Architecture Concepts, Parallel Machine Designs, Benmarks, Parallel Programming concepts & design, Algorithms, Parallel applications. This authoritative reference will be published in two formats: print and online. The online edition features hyperlinks to cross-references and to additional significant research. Related Subjects: supercomputing, high-performance computing, distributed computing



Handbook Of Parallel Computing


Handbook Of Parallel Computing
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Author : Sanguthevar Rajasekaran
language : en
Publisher: CRC Press
Release Date : 2007-12-20

Handbook Of Parallel Computing written by Sanguthevar Rajasekaran and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-20 with Computers categories.


The ability of parallel computing to process large data sets and handle time-consuming operations has resulted in unprecedented advances in biological and scientific computing, modeling, and simulations. Exploring these recent developments, the Handbook of Parallel Computing: Models, Algorithms, and Applications provides comprehensive coverage on a