August 31, 2025 to September 5, 2025
Palazzone di Cortona
Europe/Rome timezone

A solution method for compact linear operator equations based on the Arnoldi process

Sep 1, 2025, 2:00 PM
30m
Palazzone di Cortona

Palazzone di Cortona

52044 Le Contesse, Province of Arezzo

Speaker

Lothar Reichel (Kent State University)

Description

We are concerned with the solution of linear operator equations with a compact operator. These operators do not have a bounded inverse and therefore these kinds of equations have to be regularized before solution. The Arnoldi process provides a convenient way to reduce a compact operator to a nearby operator of finite rank and regularization is achieved with
Tikhonov’s method. We investigates properties of this simple solution approach. Computed examples illustrate the theory presented.

Primary author

Lothar Reichel (Kent State University)

Co-authors

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