Existence of real eigenvalues of real tensors (Q531677)
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scientific article; zbMATH DE number 5880243
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of real eigenvalues of real tensors |
scientific article; zbMATH DE number 5880243 |
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Existence of real eigenvalues of real tensors (English)
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19 April 2011
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The paper deals with the study of the existence of real eigenpairs of real tensors. After giving some basic facts regarding the Brouwer degree of a map, the author uses the Brouwer degree to establish the existence of real eigenpairs of higher-order real tensors in various settings. Some finer criteria for the existence of real eigenpairs of two-dimensional real tensors are also provided. The author gives a complete classification of the Brouwer degree zero and \(\pm 2\) maps induced by general third-order two-dimensionalreal tensors.
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multilinear algebra
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higher-order tensor
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eigenvalue
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