Semismoothness of the maximum eigenvalue function of a symmetric tensor and its application (Q1931769)
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scientific article; zbMATH DE number 6125892
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semismoothness of the maximum eigenvalue function of a symmetric tensor and its application |
scientific article; zbMATH DE number 6125892 |
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Semismoothness of the maximum eigenvalue function of a symmetric tensor and its application (English)
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16 January 2013
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The authors have examine the maximum eigenvalue function of an even order real symmetric tensor, regarding continuity, convexity, and differentiality using variational techniques. A sufficient condition ensuring the strong semi-smoothness of the maximum eigenvalue function is also proven. Besides this, a generalized Newton method to solve the space tensor conic linear programming problem is proposed as an application.
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symmetric tensor
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maximum eigenvalue function
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real polynomial
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semi-smooth
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generalized Newton method
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