The conjugate-normal Toeplitz problem. (English) Zbl 1161.15006
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 C. Gu and 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.
Reviewer: A. Arvanitoyeorgos (Patras)
MSC:
| 15A21 | Canonical forms, reductions, classification |
| 15B57 | Hermitian, skew-Hermitian, and related matrices |
Citations:
Zbl 1040.15013References:
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