Fat Diagonals and Fourier Analysis
Milan Hladnik, John Holbrook, Stefano Serra‐Capizzano · SIAM Journal on Matrix Analysis and Applications · 2003
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.