Classification of normal Toeplitz matrices with real entries (Q1909782)

From MaRDI portal





scientific article; zbMATH DE number 857373
Language Label Description Also known as
English
Classification of normal Toeplitz matrices with real entries
scientific article; zbMATH DE number 857373

    Statements

    Classification of normal Toeplitz matrices with real entries (English)
    0 references
    20 May 1996
    0 references
    The author proves that any normal Toeplitz \(n\times n\) matrix with real elements is one of four types of matrices -- symmetric, skew-symmetric, circulant or skew-circulant. For the other properties on normal Toeplitz matrices see two previous papers of the author [Zh. Vychisl. Mat. Mat. Fiz. 34, No. 3, 473-479 (1994; Zbl 0822.47029); and Mat. Zametki 55, No. 5, 69-79 (1994; Zbl 0832.15006)].
    0 references
    0 references
    classification
    0 references
    symmetric
    0 references
    skew-symmetric
    0 references
    circulant
    0 references
    skew-circulant
    0 references
    normal Toeplitz matrices
    0 references
    0 references

    Identifiers