Excerpt from Matrices That Generate the Same Krylov Residual Spaces If the matrix A is normal, then h'(z) is one, and it was recently shown in several different ways that this bound is sharp; i.e., that for each Is, there is an initial vector (depending on k) for which equality holds in In many cases of interest. However. The matrix A is not normal and the factor in (7) may be quite large. (see. For instance. [13] for some interesting physical examples.) In such cases. The bound (7) may be a large overestimate of the ...
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Excerpt from Matrices That Generate the Same Krylov Residual Spaces If the matrix A is normal, then h'(z) is one, and it was recently shown in several different ways that this bound is sharp; i.e., that for each Is, there is an initial vector (depending on k) for which equality holds in In many cases of interest. However. The matrix A is not normal and the factor in (7) may be quite large. (see. For instance. [13] for some interesting physical examples.) In such cases. The bound (7) may be a large overestimate of the actual residual. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at ... 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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