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Introduction to Parallel and Vector Solution of Linear Systems

Introduction to Parallel and Vector Solution of Linear Systems PDF Author: James M. Ortega
Publisher: Springer Science & Business Media
ISBN: 1489921125
Category : Computers
Languages : en
Pages : 309

Book Description
Although the origins of parallel computing go back to the last century, it was only in the 1970s that parallel and vector computers became available to the scientific community. The first of these machines-the 64 processor llliac IV and the vector computers built by Texas Instruments, Control Data Corporation, and then CRA Y Research Corporation-had a somewhat limited impact. They were few in number and available mostly to workers in a few government laboratories. By now, however, the trickle has become a flood. There are over 200 large-scale vector computers now installed, not only in government laboratories but also in universities and in an increasing diversity of industries. Moreover, the National Science Foundation's Super computing Centers have made large vector computers widely available to the academic community. In addition, smaller, very cost-effective vector computers are being manufactured by a number of companies. Parallelism in computers has also progressed rapidly. The largest super computers now consist of several vector processors working in parallel. Although the number of processors in such machines is still relatively small (up to 8), it is expected that an increasing number of processors will be added in the near future (to a total of 16 or 32). Moreover, there are a myriad of research projects to build machines with hundreds, thousands, or even more processors. Indeed, several companies are now selling parallel machines, some with as many as hundreds, or even tens of thousands, of processors.

Introduction to Parallel and Vector Solution of Linear Systems

Introduction to Parallel and Vector Solution of Linear Systems PDF Author: James M. Ortega
Publisher: Springer Science & Business Media
ISBN: 1489921125
Category : Computers
Languages : en
Pages : 309

Book Description
Although the origins of parallel computing go back to the last century, it was only in the 1970s that parallel and vector computers became available to the scientific community. The first of these machines-the 64 processor llliac IV and the vector computers built by Texas Instruments, Control Data Corporation, and then CRA Y Research Corporation-had a somewhat limited impact. They were few in number and available mostly to workers in a few government laboratories. By now, however, the trickle has become a flood. There are over 200 large-scale vector computers now installed, not only in government laboratories but also in universities and in an increasing diversity of industries. Moreover, the National Science Foundation's Super computing Centers have made large vector computers widely available to the academic community. In addition, smaller, very cost-effective vector computers are being manufactured by a number of companies. Parallelism in computers has also progressed rapidly. The largest super computers now consist of several vector processors working in parallel. Although the number of processors in such machines is still relatively small (up to 8), it is expected that an increasing number of processors will be added in the near future (to a total of 16 or 32). Moreover, there are a myriad of research projects to build machines with hundreds, thousands, or even more processors. Indeed, several companies are now selling parallel machines, some with as many as hundreds, or even tens of thousands, of processors.

Scientific Computing

Scientific Computing PDF Author: Gene H. Golub
Publisher: Elsevier
ISBN: 1483296040
Category : Computers
Languages : en
Pages : 453

Book Description
This book introduces the basic concepts of parallel and vector computing in the context of an introduction to numerical methods. It contains chapters on parallel and vector matrix multiplication and solution of linear systems by direct and iterative methods. It is suitable for advanced undergraduate and beginning graduate courses in computer science, applied mathematics, and engineering. Ideally, students will have access to a parallel or Vector computer, but the material can be studied profitably in any case. Gives a modern overview of scientific computing including parallel an vector computation Introduces numerical methods for both ordinary and partial differential equations Has considerable discussion of both direct and iterative methods for linear systems of equations, including parallel and vector algorithms Covers most of the main topics for a first course in numerical methods and can serve as a text for this course

Parallel Complexity of Linear System Solution

Parallel Complexity of Linear System Solution PDF Author: Bruno Codenotti
Publisher: World Scientific
ISBN: 9789810205034
Category : Computers
Languages : en
Pages : 234

Book Description
This book presents the most important parallel algorithms for the solution of linear systems. Despite the evolution and significance of the field of parallel solution of linear systems, no book is completely dedicated to the subject. People interested in the themes covered by this book belong to two different groups: numerical linear algebra and theoretical computer science, and this is the first effort to produce a useful tool for both. The book is organized as follows: after introducing the general features of parallel algorithms and the most important models of parallel computation, the authors analyze the complexity of solving linear systems in the circuit, PRAM, distributed, and VLSI models. The approach covers both the general case (i.e. dense linear systems without structure) and many important special cases (i.e. banded, sparse, Toeplitz, circulant linear systems).

Numerical Linear Algebra for High-performance Computers

Numerical Linear Algebra for High-performance Computers PDF Author: Jack J. Dongarra
Publisher: SIAM
ISBN: 9780898719611
Category : Computers
Languages : en
Pages : 360

Book Description
This book presents a unified treatment of recently developed techniques and current understanding about solving systems of linear equations and large scale eigenvalue problems on high-performance computers. It provides a rapid introduction to the world of vector and parallel processing for these linear algebra applications. Topics include major elements of advanced-architecture computers and their performance, recent algorithmic development, and software for direct solution of dense matrix problems, direct solution of sparse systems of equations, iterative solution of sparse systems of equations, and solution of large sparse eigenvalue problems.

Solution Methods for Bidiagonal and Tridiagonal Linear Systems for Parallel and Vector Computers

Solution Methods for Bidiagonal and Tridiagonal Linear Systems for Parallel and Vector Computers PDF Author: Peter H. Michielse
Publisher:
ISBN:
Category :
Languages : en
Pages : 23

Book Description


Fundamentals of Linear State Space Systems

Fundamentals of Linear State Space Systems PDF Author: John S. Bay
Publisher: McGraw-Hill Science, Engineering & Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 600

Book Description
Spans a broad range of linear system theory concepts, but does so in a complete and sequential style. It is suitable for a first-year graduate or advanced undergraduate course in any field of engineering. State space methods are derived from first principles while drawing on the students' previous understanding of physical and mathematical concepts. The text requires only a knowledge of basic signals and systems theory, but takes the student, in a single semester, all the way through state feedback, observers, Kalman filters, and elementary I.Q.G. control.

Iterative Methods for Sparse Linear Systems

Iterative Methods for Sparse Linear Systems PDF Author: Yousef Saad
Publisher: SIAM
ISBN: 0898715342
Category : Mathematics
Languages : en
Pages : 537

Book Description
Mathematics of Computing -- General.

Templates for the Solution of Linear Systems

Templates for the Solution of Linear Systems PDF Author: Richard Barrett
Publisher: SIAM
ISBN: 0898713285
Category : Mathematics
Languages : en
Pages : 130

Book Description
Mathematics of Computing -- Numerical Analysis.

NASA Technical Paper

NASA Technical Paper PDF Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 50

Book Description


Partitioning Strategy for Efficient Nonlinear Finite Element Dynamic Analysis on Multiprocessor Computers

Partitioning Strategy for Efficient Nonlinear Finite Element Dynamic Analysis on Multiprocessor Computers PDF Author: Ahmed Khairy Noor
Publisher:
ISBN:
Category : Multiprocessors
Languages : en
Pages : 44

Book Description