Is every matrix similar to a Toeplitz matrix? (Q1965279)
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scientific article; zbMATH DE number 1400200
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Is every matrix similar to a Toeplitz matrix? |
scientific article; zbMATH DE number 1400200 |
Statements
Is every matrix similar to a Toeplitz matrix? (English)
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5 July 2000
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A Toeplitz canonical form for nonderogatory matrices is established. It is proved that every \(n\times n\) complex nonderogatory matrix is similar to a unique unit upper Hessenberg Toeplitz matrix. The answer to the question whether every matrix is similar to some Toeplitz matrix is yes for \(4 \times 4\) and smaller matrices. For \(n>4\) the question remains open.
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Toeplitz matrices
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inverse problems
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canonical form
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nonderogatory matrices
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0.86916286
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0.83734053
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0.81806284
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0.8154316
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0.79012215
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0.7744182
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0.77226734
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0.77075154
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