A note on eigenvalues and singular values of variable Toeplitz matrices and matrix-sequences, with application to variable two-step BDF approximations to parabolic equations

Nikos Barakitis, Valerio Loi, Stefano Serra-Capizzano

Here, we consider a more general class of matrix-sequences and we prove that they belong to the maximal $\ast$-algebra of generalized locally Toeplitz (GLT) matrix-sequences. Then, we…