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Excerpt from Solving Sparse Triangular Linear Systems Using Fortran With Parallel Extensions of the Nyu Ultracomputer Prototype First use equation 1 to solve for the first solution component. Given this first component, solve either equation 2 for the second component or equation 6 for the sixth component, since these couple only to component 1. Equations 2 and 6 can be solved in parallel. Having computed components 1, 2, and 6, then, equations 3, 4, and 7 can be solved simultaneously to give components 3, 4, and 7. Finally, with these components known, equations 5 and 8 can be solved in parallel for components 5 and 8. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.