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
Mykhailo Kuian
(CWRU)
Ronny Ramlau
(RICAM)