Seminar series
Date
Tue, 09 Jun 2015
Time
14:30 -
15:00
Location
L5
Speaker
Jared Aurentz
Organisation
University of Oxford
In this talk we will explore the convergence of Krylov methods when used to solve $Lu = f$ where $L$ is an unbounded linear operator. We will show that for certain problems, methods like Conjugate Gradients and GMRES still converge even though the spectrum of $L$ is unbounded. A theoretical justification for this behavior is given in terms of polynomial approximation on unbounded domains.