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Russ Miller - Parallel Algorithms for Regular Architectures: Meshes and Pyramids (Scientific Computation)

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Parallel-Algorithms for Regular Architectures is the first book to concentrate exclusively on algorithms and paradigms for programming parallel computers such as the hypercube, mesh, pyramid, and mesh-of-trees. Algorithms are given to solve fundamental tasks such as sorting and matrix operations, as well as problems in the field of image processing, graph theory, and computational geometry. The first chapter defines the computer models, problems to be solved, and notation that will be used throughout the book. It also describes fundamental abstract data movement operations that serve as the foundation to many of the algorithms presented in the book. The remaining chapters describe efficient implementations of these operations for specific models of computation and present algorithms (with asymptotic analyses) that are often based on these operations. The algorithms presented are the most efficient known, including a number of new algorithms for the hypercube and mesh-of-trees that are better than those that have previously appeared in the literature. The chapters may be read independently, allowing anyone interested in a specific model to read the introduction and then move directly to the chapter(s) devoted to the particular model of interest. Russ Miller is Assistant Professor in the Department of Computer Science, State University of New York at Buffalo. Quentin F. Stout is Associate Professor in the Department of Electrical Engineering and Computer Science at the University of Michigan. Parallel Algorithms for Regular Architectures is included in the Scientific Computation series, edited by Dennis Gannon.

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title Parallel Algorithms for Regular Architectures Meshes and Pyramids - photo 1

title:Parallel Algorithms for Regular Architectures : Meshes and Pyramids
author:Miller, Russ.; Stout, Quentin F.
publisher:MIT Press
isbn10 | asin:0262132338
print isbn13:9780262132336
ebook isbn13:9780585037042
language:English
subjectParallel algorithms, Parallel programming (Computer science) , Computer architecture.
publication date:1996
lcc:QA76.6.M5226 1996eb
ddc:005.1
subject:Parallel algorithms, Parallel programming (Computer science) , Computer architecture.
Page iii
Parallel Algorithms for Regular Architectures: Meshes and Pyramids
Russ Miller
Quentin F. Stout
The MIT Press
Cambridge, Massachusetts
London, England
Page iv
1996 by The Massachusetts Institute of Technology
All rights reserved. No part of this book may be reproduced in any form by any electronic or mechanical means (including photocopying, recording, or information storage and retrieval) without permission in writing from the publisher.
Library of Congress Cataloging-in-Publication Data
Miller, Russ.
Parallel algorithms for regular architectures: meshes and pyramids.
Bibliography: p.
1. Parallel programming (Computer science) 2. Algorithms.
3. Computer architecture. I. Stout, Quentin F. II. Title. III. Series
QA76.6.M5226 1996 005.1 87-35360
ISBN 0-262-13233-8
Page v
To Brian, for making it all worthwhile.
Russ Miller
To my teachers in the public schools of Euclid, Ohio, for
encouraging play that adults call research.
Quentin F. Stout
Page vii
Contents
List of Figures
ix
Preface
xiii
1 Overview
1
Picture 2
1.1 Introduction
1
Picture 3
1.2 Models of Computation
3
Picture 4
1.3 Forms of Input
14
Picture 5
1.4 Problems
16
Picture 6
1.5 Data Movement Operations
22
Picture 7
1.6 Sample Algorithms
29
Picture 8
1.7 Further Remarks
44
2 Fundamental Mesh Algorithms
45
Picture 9
2.1 Introduction
45
Picture 10
2.2 Definitions
45
Picture 11
2.3 Lower Bounds
46
Picture 12
2.4 Primitive Mesh Algorithms
48
Picture 13
2.5 Matrix Algorithms
50
Picture 14
2.6 Algorithms Involving Ordered Data
68
Picture 15
2.7 Further Remarks
87
3 Mesh Algorithms for Images and Graphs
89
Picture 16
3.1 Introduction
89
Picture 17
3.2 Fundamental Graph Algorithms
90
Picture 18
3.3 Connected Components
103
Picture 19
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