HELMKE, U and SHAYMAN, MA (1995) CRITICAL-POINTS OF MATRIX LEAST-SQUARES DISTANCE FUNCTIONS. LINEAR ALGEBRA AND ITS APPLICATIONS, 215. pp. 1-19. ISSN 0024-3795,
Full text not available from this repository.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 minimum of the distance function f(A)(X) = parallel to A - X parallel to(2) on varieties of fixed rank symmetric, skew-symmetric, and rectangular matrices X are determined. Our results extend earlier ones of Eckart and Young and of Higham.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Depositing User: | Dr. Gernot Deinzer |
| Last Modified: | 19 Oct 2022 08:38 |
| URI: | https://pred.uni-regensburg.de/id/eprint/52795 |
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