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Distributed Sparse Gaussian Elimination And Orthogonal Factorization
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Book Synopsis Distributed Sparse Gaussian Elimination and Orthogonal Factorization by : Padma Raghavan
Download or read book Distributed Sparse Gaussian Elimination and Orthogonal Factorization written by Padma Raghavan and published by . This book was released on 1993 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We consider the solution of a linear system Ax = b on a distributed memory machine when the matrix A has full rank and is large, sparse and nonsymmetric. We use our Cartesian Nested Dissection algorithm to compute a fill-reducing column ordering of the matrix. We develop algorithms that use the associated separator tree to estimate the structure of the factor and to distribute and perform numeric computations. When the matrix is nonsymmetric but square, the numeric computations involve Gaussian elimination with row pivoting; when the matrixis overdetermined, row-oriented Householder transforms are applied to compute the triangular factor of an orthogonal factorization. We compare the fill incurred by our approach to that incurred by well known sequential methods and report on the performance of our implementation on the Intel iPSC/860."
Book Synopsis Matrix Computations by : Gene H. Golub
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.
Book Synopsis Parallel Computing in Optimization by : A. Migdalas
Download or read book Parallel Computing in Optimization written by A. Migdalas and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last three decades, breakthroughs in computer technology have made a tremendous impact on optimization. In particular, parallel computing has made it possible to solve larger and computationally more difficult prob lems. This volume contains mainly lecture notes from a Nordic Summer School held at the Linkoping Institute of Technology, Sweden in August 1995. In order to make the book more complete, a few authors were invited to contribute chapters that were not part of the course on this first occasion. The purpose of this Nordic course in advanced studies was three-fold. One goal was to introduce the students to the new achievements in a new and very active field, bring them close to world leading researchers, and strengthen their competence in an area with internationally explosive rate of growth. A second goal was to strengthen the bonds between students from different Nordic countries, and to encourage collaboration and joint research ventures over the borders. In this respect, the course built further on the achievements of the "Nordic Network in Mathematical Programming" , which has been running during the last three years with the support ofthe Nordic Council for Advanced Studies (NorFA). The final goal was to produce literature on the particular subject, which would be available to both the participating students and to the students of the "next generation" .
Book Synopsis Parallel Numerical Algorithms by : David E. Keyes
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.
Book Synopsis LAPACK Users' Guide by : E. Anderson
Download or read book LAPACK Users' Guide written by E. Anderson and published by SIAM. This book was released on 1999-01-01 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Proceedings written by and published by . This book was released on 1994 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis SIAM Journal on Scientific Computing by :
Download or read book SIAM Journal on Scientific Computing written by and published by . This book was released on 1995 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Parallel Algorithms for Matrix Computations by : K. Gallivan
Download or read book Parallel Algorithms for Matrix Computations written by K. Gallivan and published by SIAM. This book was released on 1990-01-01 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Parallelism.
Book Synopsis Direct Methods for Sparse Linear Systems by : Timothy A. Davis
Download or read book Direct Methods for Sparse Linear Systems written by Timothy A. Davis and published by SIAM. This book was released on 2006-09-01 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sparse backslash book. Everything you wanted to know but never dared to ask about modern direct linear solvers. Chen Greif, Assistant Professor, Department of Computer Science, University of British Columbia.Overall, the book is magnificent. It fills a long-felt need for an accessible textbook on modern sparse direct methods. Its choice of scope is excellent John Gilbert, Professor, Department of Computer Science, University of California, Santa Barbara.Computational scientists often encounter problems requiring the solution of sparse systems of linear equations. Attacking these problems efficiently requires an in-depth knowledge of the underlying theory, algorithms, and data structures found in sparse matrix software libraries. Here, Davis presents the fundamentals of sparse matrix algorithms to provide the requisite background. The book includes CSparse, a concise downloadable sparse matrix package that illustrates the algorithms and theorems presented in the book and equips readers with the tools necessary to understand larger and more complex software packages.With a strong emphasis on MATLAB and the C programming language, Direct Methods for Sparse Linear Systems equips readers with the working knowledge required to use sparse solver packages and write code to interface applications to those packages. The book also explains how MATLAB performs its sparse matrix computations.Audience This invaluable book is essential to computational scientists and software developers who want to understand the theory and algorithms behind modern techniques used to solve large sparse linear systems. The book also serves as an excellent practical resource for students with an interest in combinatorial scientific computing.Preface; Chapter 1: Introduction; Chapter 2: Basic algorithms; Chapter 3: Solving triangular systems; Chapter 4: Cholesky factorization; Chapter 5: Orthogonal methods; Chapter 6: LU factorization; Chapter 7: Fill-reducing orderings; Chapter 8: Solving sparse linear systems; Chapter 9: CSparse; Chapter 10: Sparse matrices in MATLAB; Appendix: Basics of the C programming language; Bibliography; Index.
Book Synopsis Introduction to Parallel Computing by : Vipin Kumar
Download or read book Introduction to Parallel Computing written by Vipin Kumar and published by Addison Wesley Longman. This book was released on 1994 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Parallelism.
Book Synopsis CONPAR 90 - VAPP IV by : Helmar Burkhart
Download or read book CONPAR 90 - VAPP IV written by Helmar Burkhart and published by Springer Science & Business Media. This book was released on 1990-08-30 with total page 936 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parallel architectures are no longer pure research vehicles, as they were some years ago. There are now many commercial systems competing for market segments in scientific computing. The 1990s are likely to become the decade of parallel processing. CONPAR 90 - VAPP IV is the joint successor meeting of two highly successful international conference series in the field of vector and parallel processing. This volume contains the 79 papers presented at the conference. The various topics of the papers include hardware, software and application issues. Some of the session titles best reflect the contents: new models of computation, logic programming, large-grain data flow, interconnection networks, communication issues, reconfigurable and scalable systems, novel architectures and languages, high performance systems and accelerators, performance prediction / analysis / measurement, performance monitoring and debugging, compile-time analysis and restructurers, load balancing, process partitioning and concurrency control, visualization and runtime analysis, parallel linear algebra, architectures for image processing, efficient use of vector computers, transputer tools and applications, array processors, algorithmic studies for hypercube-type systems, systolic arrays and algorithms. The volume gives a comprehensive view of the state of the art in a field of current interest.
Book Synopsis Hypercube Multiprocessors 1986 by : Michael T. Heath
Download or read book Hypercube Multiprocessors 1986 written by Michael T. Heath and published by SIAM. This book was released on 1986-01-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings -- Parallel Computing.
Book Synopsis Accelerating Iterative Methods by Inducing Sparsity in the Residual Vector by : Todd Kevin Goehring
Download or read book Accelerating Iterative Methods by Inducing Sparsity in the Residual Vector written by Todd Kevin Goehring and published by . This book was released on 1999 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Handbook of Numerical Analysis by : Philippe G. Ciarlet
Download or read book Handbook of Numerical Analysis written by Philippe G. Ciarlet and published by Elsevier. This book was released on 1990 with total page 1040 pages. Available in PDF, EPUB and Kindle. Book excerpt: These volumes cover all the major aspects of numerical analysis. This particular volume discusses the solution of equations in Rn, Gaussian elimination, techniques of scientific computer, the analysis of multigrid methods, wavelet methods, and finite volume methods.
Book Synopsis Hypercube Multiprocessors, 1987 by : Michael T. Heath
Download or read book Hypercube Multiprocessors, 1987 written by Michael T. Heath and published by SIAM. This book was released on 1987-01-01 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings -- Parallel Computing.
Book Synopsis Numerical Analysis and Parallel Processing by : Peter R. Turner
Download or read book Numerical Analysis and Parallel Processing written by Peter R. Turner and published by Springer. This book was released on 2006-11-14 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each week of this three week meeting was a self-contained event, although each had the same underlying theme - the effect of parallel processing on numerical analysis. Each week provided the opportunity for intensive study to broaden participants' research interests or deepen their understanding of topics of which they already had some knowledge. There was also the opportunity for continuing individual research in the stimulating environment created by the presence of several experts of international stature. This volume contains lecture notes for most of the major courses of lectures presented at the meeting; they cover topics in parallel algorithms for large sparse linear systems and optimization, an introductory survey of level-index arithmetic and superconvergence in the finite element method.
Book Synopsis Frontiers'95, the 5th Symposium on the Frontiers of Massively Parallel Computation by :
Download or read book Frontiers'95, the 5th Symposium on the Frontiers of Massively Parallel Computation written by and published by Institute of Electrical & Electronics Engineers(IEEE). This book was released on 1995 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the February 1995 symposium, sponsored by the IEEE Computer Society Technical Committee on Computer Architecture, comprise 56 refereed technical papers featuring current research in parallel software, architectures, applications, and algorithms. Also included is a minisymposium on
