\contentsline {section}{\numberline {1}Introduction}{2} \contentsline {section}{\numberline {2}Beowulfs: The General and The Specific}{2} \contentsline {section}{\numberline {3}Distributed Computing via PVM or MPI}{2} \contentsline {section}{\numberline {4}The Road Ahead}{2} \contentsline {section}{\numberline {5}The Case Study: {\em Multiplying Matrices on a Torus}}{2} \contentsline {section}{\numberline {6}The Algorithm: Fox's Matrix Multiplication}{4} \contentsline {section}{\numberline {7}The Goal}{7} \contentsline {section}{\numberline {8}The Goal Posts}{7} \contentsline {section}{\numberline {9}What are the PVM versions?}{8} \contentsline {subsection}{\numberline {9.1}Version {\tt mm.0.0.c}}{8} \contentsline {subsection}{\numberline {9.2}Version {\tt mm.0.1.c}}{8} \contentsline {subsection}{\numberline {9.3}Version {\tt mm.0.2.c}}{9} \contentsline {subsection}{\numberline {9.4}Version {\tt mm.0.3.c}}{9} \contentsline {subsection}{\numberline {9.5}Version {\tt mm.0.4.c}}{9} \contentsline {subsection}{\numberline {9.6}Version {\tt mm.0.5.c}}{9} \contentsline {subsection}{\numberline {9.7}Version {\tt mm.0.6.c}}{10} \contentsline {subsection}{\numberline {9.8}Version {\tt mm.0.7.c}}{13} \contentsline {section}{\numberline {10}So Whats the state of the art?}{13} \contentsline {section}{\numberline {11} The Results}{19}