Search Results for author: Bruno Iannazzo

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Geometric means of quasi-Toeplitz matrices

no code implementations8 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

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