Smoothed Analysis of Moore-Penrose Inversion

Details Smoothed Analysis of Moore-Penrose Inversion Smoothed Analysis of Moore-Penrose Inversion

2010-02-25

arxiv.org/abs/1002.4690v2

SIAM J. Matrix Anal. & Appl. 31(5): 2769-2783 (2010)

Mathematics

Numerical Analysis

19 pages. Version 2 contains a new section on applications

Scientific paper

We perform a smoothed analysis of the condition number of rectangular
matrices. We prove that, asymptotically, the expected value of this condition
number depends only of the elongation of the matrix, and not on the center and
variance of the underlying probability distribution.

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