The conjugate-normal Toeplitz problem (Q1014507)
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scientific article; zbMATH DE number 5549293
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The conjugate-normal Toeplitz problem |
scientific article; zbMATH DE number 5549293 |
Statements
The conjugate-normal Toeplitz problem (English)
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29 April 2009
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The conjugate-normal Toeplitz problem is the one of characterizing the matrices that are conjugate-normal and Toeplitz at the same time. Based on a result of \textit{C. Gu} and \textit{L. Patton} [SIAM J. Matrix Anal. Appl. 24, No.~3, 728--746 (2003; Zbl 1040.15013)] and the authors' results on this topic, it is shown that a complex matrix is conjugate-normal and Toeplitz if and only if it is in one of the seven classes explicitly described in the paper.
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Toeplitz matrix
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Conjugate-normal matrix
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circulant
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Skew circulant
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0.8963902
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0.8864867
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0.88634247
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0.8765875
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0.8695692
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0.8670305
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