The possible shapes of numerical ranges (Q2914877)
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scientific article; zbMATH DE number 6084699
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The possible shapes of numerical ranges |
scientific article; zbMATH DE number 6084699 |
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The possible shapes of numerical ranges (English)
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21 September 2012
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numerical range
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linear matrix inequalities
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symmetric matrix
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0.85792965
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0.85535425
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0.8440864
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This paper presents essentially two results related with numerical ranges. It gives a necessary and sufficient condition for a subset of the complex plane to be the numerical range of a certain matrix and it also shows that for a given matrix there always exists a symmetric matrix with the same numerical range.
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