no code implementations • 8 Feb 2021 • Dario A. Bini, Bruno Iannazzo, Jie Meng
We study means of geometric type of quasi-Toeplitz matrices, that are semi-infinite matrices $A=(a_{i, j})_{i, j=1, 2,\ldots}$ of the form $A=T(a)+E$, where $E$ represents a compact operator, and $T(a)$ is a semi-infinite Toeplitz matrix associated with the function $a$, with Fourier series $\sum_{\ell=-\infty}^{\infty} a_\ell e^{\mathfrak i \ell t}$, in the sense that $(T(a))_{i, j}=a_{j-i}$.
Numerical Analysis Numerical Analysis Operator Algebras 65J10, 47B35, 65F60