Limiting spectral distribution of block matrices with Toeplitz block structure
نویسندگان
چکیده
منابع مشابه
Spectral Factorization of 2-block Toeplitz Matrices and Refinement Equations
Pairs of 2-block Toeplitz (N×N)-matrices (Ts)ij = p2i−j+s−1, s = 0, 1, i, j ∈ {1, . . . , N}, are considered for arbitrary sequences of complex coefficients p0, . . . , pN . A complete spectral resolution of the matrices T0, T1 in the system of their common invariant subspaces is obtained. A criterion of nondegeneracy and of irreducibility of these matrices is derived, and their kernels, root s...
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ژورنال
عنوان ژورنال: Statistics & Probability Letters
سال: 2012
ISSN: 0167-7152
DOI: 10.1016/j.spl.2012.04.004