Institute for Systems Research Technical Reports

Permanent URI for this collectionhttp://hdl.handle.net/1903/4376

This archive contains a collection of reports generated by the faculty and students of the Institute for Systems Research (ISR), a permanent, interdisciplinary research unit in the A. James Clark School of Engineering at the University of Maryland. ISR-based projects are conducted through partnerships with industry and government, bringing together faculty and students from multiple academic departments and colleges across the university.

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Author: search.filters.author.Shayman, Mark A.Subject: search.filters.subject.Communication

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    Critical Points of Matrix Least Square Distance Functions
    (1992) Helmke, Uwe; Shayman, Mark A.; ISR
    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.