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Excerpt from Problems Used in Testing the Efficiency and Accuracy of the Modified Gram-Schmidt Least Squares Algorithm Attention is given to the execution time required to solve problems of various sizes, to how the choice of a tolerance parameter can affect the computed rank of a matrix, to the effect of heavy weights on compu ted solutions, and to how one can enlarge the class of problems which this algorithm solves by scaling the raw data. The Fortran subroutines which performed the various tests are listed in an appendix, together with a driver program and input data. Several examples of output gener ated by the computer program are displayed. 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.

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