On pseudosymmetric tridiagonal forms for real matrices (Q1284328)
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scientific article; zbMATH DE number 1276085
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On pseudosymmetric tridiagonal forms for real matrices |
scientific article; zbMATH DE number 1276085 |
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On pseudosymmetric tridiagonal forms for real matrices (English)
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14 April 1999
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It is known that every simple (Jordan) \((n\times n)\)-matrix, real or complex, can be changed by a similarity transformation to an irreducible tridiagonal matrix. A corresponding theorem was proved earlier by methods of the geometrical theory of polynomials. Here the theorem is proved using the finite-dimensional operator theory in spaces with an indefinite metric.
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canonical form
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Jordan matrix
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irreducible tridiagonal matrix
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