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Templates for the Solution of Linear Systems:

Building Blocks for Iterative Methods1

Richard Barrett2,Michael Berry3, Tony F. Chan4, James Demmel5, June M. Donato6, Jack Dongarra3;6,

Victor Eijkhout4, Roldan Pozo7 Charles Romine6,

and Henk Van der Vorst8

1This work was supported in part by DARPA and ARO under contract number DAAL03- 91-C-0047, the National Science Foundation Science and Technology Center Cooperative Agreement No. CCR-8809615, the Applied Mathematical Sciences subprogram of the Office of Energy Research, U.S. Department of Energy, under Contract DE-AC05-84OR21400, and the Stichting Nationale Computer Faciliteit (NCF) by Grant CRG 92.03.

2Los Alamos National Laboratory, Los Alamos, NM 87544.

3Department of Computer Science, University of Tennessee, Knoxville, TN 37996-1301. 4Applied Mathematics Department, University of California, Los Angeles, CA 90024-1555. 5Computer Science Division and Mathematics Department, University of California,

Berkeley, CA 94720.

6Mathematical Sciences Section, Oak Ridge National Laboratory, Oak Ridge, TN 37831-

6367.

7National Institute of Standards and Technology, Gaithersburg, MD, 20899

8Department of Mathematics, Utrecht University, Utrecht, the Netherlands.

i This book is also available in Postscript from over the Internet. To retrieve the postscript file you can use one of the following methods:

1. anonymous ftp to www.netlib.org

cd templates get templates.ps quit

2. from any machine on the Internet type:

rcp anon@www.netlib.org:templates/templates.ps templates.ps

3. send email to netlib@ornl.gov and in the message type: