- Title
- How many matrices have roots?
- Creator
- Borwein, J. M.; Richmond, B.
- Relation
- Canadian Journal of Mathematics Vol. 36, Issue 2, p. 286-299
- Publisher Link
- http://dx.doi.org/10.4153/CJM-1984-018-0
- Publisher
- Canadian Mathematical Society
- Resource Type
- journal article
- Date
- 1984
- Description
- 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.
- Subject
- matrices; roots; linear algebra
- Identifier
- http://hdl.handle.net/1959.13/940968
- Identifier
- uon:13138
- Identifier
- ISSN:0008-414X
- Language
- eng
- Reviewed
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