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    Scaling for Orthogonality

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    Date
    1998-10-15
    Author
    Edelman, Alan
    Stewart, G. W.
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    Abstract
    In updating algorthms where orthogonal transformations are accumulated, it is important to preserve the orthogonality of the product in the presence of rounding error. Moonen, Van Dooren, and Vandewalle have pointed out that simply normalizing the columns of the product tends to preserve orthogonality\,---\,though not, as DeGroat points out, to working precision. In this note we give an analysis of the phenomenon. (Also cross-referenced as UMIACS-TR-92-43)
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    http://hdl.handle.net/1903/569
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    • Technical Reports of the Computer Science Department

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