ACTA issues

Decay of the elements of the inverses of some triangular Toeplitz matrices

Roksana Krystyna SÅ‚owik

Acta Sci. Math. (Szeged) 87:3-4(2021), 541-550

Abstract. Banded lower triangular $\mathbb N\times \mathbb N$ Toeplitz matrices $A$ are considered. A sufficient condition for the elements of $A^{-1}$ to decay to $0$ fast is given. Moreover, some bounds of the norms of these inverses are also found.

DOI: 10.14232/actasm-021-028-7

AMS Subject Classification (1991): 15B05, 15A99

Keyword(s): triangular Toeplitz matrices, matrix inverse, decay of elements, norm of a Toeplitz matrix

received 8.2.2021, revised 31.5.2021, accepted 13.6.2021. (Registered under 28/2021.)