Two simple proofs of Cayley-Hamilton theorem and two representation theorems (Q761521)
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scientific article; zbMATH DE number 3886063
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two simple proofs of Cayley-Hamilton theorem and two representation theorems |
scientific article; zbMATH DE number 3886063 |
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Two simple proofs of Cayley-Hamilton theorem and two representation theorems (English)
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1984
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Using tensor notation, the authors give two proofs of the Cayley-Hamilton theorem. For a \(3\times 3\) matrix A (of interest in continuum mechanics) they give specific expressions for the coefficients when \(A^ n\) and F(A), respectively, are expressed as quadratic polynomials in A, where F(z) is an analytic function.
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analytic matrix function
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Cayley-Hamilton theorem
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quadratic polynomials
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