The square root of a three-dimensional positive tensor (Q1087364)
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scientific article; zbMATH DE number 3988825
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The square root of a three-dimensional positive tensor |
scientific article; zbMATH DE number 3988825 |
Statements
The square root of a three-dimensional positive tensor (English)
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1987
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By means of Cayley-Hamilton's theorem the determination of \(\sqrt{P}\) (\(P\): positive two- or three-dimensional tensor) reduces to calculating the invariant tr\(\sqrt{P}\), which is uniquely determined by a quadratic or by a quartic equation in the two-dimensional or three-dimensional case, respectively.
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square root
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three-dimensional positive tensor
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two-dimensional
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Cayley- Hamilton's theorem
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