Structure of the \(n\)th roots of a matrix (Q1260958)
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scientific article; zbMATH DE number 399290
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Structure of the \(n\)th roots of a matrix |
scientific article; zbMATH DE number 399290 |
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Structure of the \(n\)th roots of a matrix (English)
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29 August 1993
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The paper presents the following results: Let \(K\) be a subfield of \(C\). A criterion is given for a nonsingular matrix \(A\) in \(M_ mK\) to have an \(n\)th root in \(M_ mK\). The number of similarity classes of the \(n\)th root of \(A\) is given for \(K=R\). Further it is indicated which matrices \(A\) in \(M_ mK\) have infinitely many \(n\)th roots in \(M_ mK\).
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matrix equations
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non-singular matrix
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\(n\)th root
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similarity class
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