Smoothed Analysis of Moore-Penrose Inversion

Mathematics – Numerical Analysis

Scientific paper

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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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