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How many matrices have roots?

Borwein, Jonathan M. and Richmond, L. B. (1984) How many matrices have roots? Canadian Journal of Math., 36 . pp. 286-299.

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Abstract

In many basic linear algebra texts it is shown that various classes of square matrices (normal, positive, invertible) possess square roots. In this note we characterize those n x n matrices with complex entries which possess at least one square root without any restriction on the class of root or matrix involved. We then use this characterization to obtain asymptotic estimates for the relative profusion of such matrices.

Item Type: Article
Subjects: UNSPECIFIED
Faculty: UNSPECIFIED
Depositing User: Mrs Naghmana Tehseen
Date Deposited: 21 Feb 2015 10:34
Last Modified: 21 Feb 2015 10:34
URI: https://docserver.carma.newcastle.edu.au/id/eprint/1628

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