Explicit determinants, inverses and eigenvalues of four band Toeplitz matrices with perturbed rows
نویسندگان
چکیده
منابع مشابه
Inverses, determinants, eigenvalues, and eigenvectors of real symmetric Toeplitz matrices with linearly increasing entries
We explicitly determine the skew-symmetric eigenvectors and corresponding eigenvalues of the real symmetric Toeplitz matrices T = T (a, b, n) := (a+ b|j − k|)1≤j,k≤n of order n ≥ 3 where a, b ∈ R, b 6= 0. The matrix T is singular if and only if c := a b = −n−1 2 . In this case we also explicitly determine the symmetric eigenvectors and corresponding eigenvalues of T . If T is regular, we explic...
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ژورنال
عنوان ژورنال: Special Matrices
سال: 2019
ISSN: 2300-7451
DOI: 10.1515/spma-2019-0004