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Fast Non-Hermitian Toeplitz Eigenvalue Computations, Joining Matrixless Algorithms and FDE Approximation Matrices
.The present work is devoted to the eigenvalue asymptotic expansion of the Toeplitz matrix \(T_{n}(a)\), whose generating function \(a\) is complex-valued and has a power singularity at one point. As a consequence, \(T_{n}(a)\) is non-Hermitian and we know that in this setting, the eigenvalue computation is a nontrivial task for …