TW 527

Zhaojun Bai and Karl Meerbergen
The Lanczos method for parameterized symmetric linear systems with multiple right-hand sides

Abstract

The solution of linear systems with a parameter is an important problem in engineering applications, especially in structural dynamics, acoustics, and electronic circuit simulations and related modelreduction methods such as Padé via Lanczos. In this paper, we present a method for solving parameterized symmetric linear systems with multiple right-hand sides, based on the Lanczos method. We show that for this class of applications, a simple deflation method can be used.

report.pdf (410K) / mailto: K. Meerbergen