### Row products of random matrices

Rudelson, M *(Missouri-Columbia)*

Wednesday 23 February 2011, 14:00-15:00

Seminar Room 1, Newton Institute

#### Abstract

We define the row product of K matrices of size d by n as a matrix of size d^K by n, whose rows are entry-wise products of rows of these matrices. This construction arises in certain computer science problems. We study to what extent the spectral and geometric properties of the row product of independent random matrices resemble those properties for a d^K by n matrix with independent random entries.

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