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    Critical Points of Matrix Least Square Distance Functions

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    TR_92-30.pdf (711.9Kb)
    No. of downloads: 1021

    Date
    1992
    Author
    Helmke, Uwe
    Shayman, Mark A.
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    Abstract
    A Classical problem in matrix analysis and total least squares estimation is that of finding a best approximant of a given matrix by lower rank ones. In this paper the critical points and the local minima are determined for the function on varieties of fixed-rank symmetric, skew-symmetric and rectangular matrices representing the distance to a fixed matrix. Our results extend earlier work of Eckart and Young and Higham.
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    http://hdl.handle.net/1903/5212
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    • Institute for Systems Research Technical Reports

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