A universal quantum processor is a device that takes as input a (quantum) program,
containing an encoding of an arbitrary unitary gate, and a (quantum) data register, on which …

In the past few years, Bogoya, Böttcher, Grudsky, and Maximenko obtained the precise
asymptotic expansion for the eigenvalues of a Toeplitz matrix T n (f), under suitable …

We consider the B‐spline isogeometric analysis approximation of the Laplacian eigenvalue
problem− Δ u= λ u over the d‐dimensional hypercube (0, 1) d. By using tensor‐product …

The eigenvalues of Toeplitz matrices T n (f) with a real-valued generating function f,
satisfying some conditions and tracing out a simple loop over the interval [− π, π], are known …

It was shown in a series of recent publications that the eigenvalues of n\; *\; n Toeplitz
matrices generated by so-called simple-loop symbols admit certain regular asymptotic …

In the current work, we study the eigenvalue distribution results of a class of non-normal
matrix-sequences which may be viewed as a low rank perturbation, depending on a …

It is known that for a tridiagonal Toeplitz matrix, having on the main diagonal the constant a 0
and on the two first off‐diagonals the constants a 1 (lower) and a− 1 (upper), which are all …

Bogoya, Böttcher, Grudsky, and Maximenko have recently obtained the precise asymptotic
expansion for the eigenvalues of a sequence of Toeplitz matrices {T n (f)}, under suitable …

Precise asymptotic expansions for the eigenvalues of a Toeplitz matrix T_n (f) T n (f), as the
matrix size n tends to infinity, have recently been obtained, under suitable assumptions on …

The present work is devoted to the eigenvalue asymptotic expansion of the Toeplitz matrix,
whose generating function is complex-valued and has a power singularity at one point. As a …