The asymptotic properties of the spectrum of nonsymmetrically perturbed Jacobi matrix sequences
Journal of Approximation Theory
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We use Fourier analysis and Toeplitz matrices to study the effect on matrix norms obtained by various "truncations" of the matrix. Examples include the truncation of a matrix to a central band of diagonals, truncation to the off-diagonal part, and the upper-triangular truncation. Our tools include tensor product constructions, asymptotic eigenvalue distributions, and multilevel Toeplitz matrices.