2005 SIAM Annual Meeting
MS 44 and MS56: Nonlinear Eigenvalue Problems
 Objective
Nonlinear eigenvalue problems (NEP) arise in a variety of
scientific applications. These problems are considerably
more difficult tto solve than the standard linear
eigenvalue problems. Even for the simplest type of NEP, i.e.,
quadratic eigenvalue problems, which often encounters in
structure dynamic analysis, seeking a solution that preserves certain
structure of the underlying physical system may prove to be
chanllenging. For general nonlinear eigenvalue problems arising
from quantum chemistry, the convergence of the existing
algorithm is still poorly understood. The sheer size of these problems
requires us to seek more efficient and scalable apporaches.
The purpose of this minisymposium is to discuss the latest
algorithmic development of numerical solution to NEPs and
to examine the effectiveness of these developments
in real applications.
 Organizers
 Presentations (Speakers)

Solving nonlinear eigenvalue problems in electronic structure
calculations
Chao Yang, Juan Meza and Linwang Wang, Lawrence Berkeley National Lab.

Multiresolution solution of nonlinear intergral eigenproblems in electronic
structure
George I. Fann, Zhengting Gan, Robert J. Harrison,
Oak Ridge National Lab., University of Tennessee, Knoxville, and
Gregory Beylkin, University of Colorado

Iterative projection methods for general nonlinear eigenproblems
Heinrich Voss, Hamburg University of Technology, Germany

Eigenproblem in Resonant MEMS Design
David Bindel, University of California, Berkeley

Reduction of nonlinear eigenproblems with JD
Henk van der Vorst, Utrecht University

A structurepreserving method for large scale eigenproblems of
skewHamiltonian/Hamiltonian (SHH) pencils
Yangfeng Su, Fudan University and Zhaojun Bai,
University of California, Davis

On a nonlinear eigenvalue problems arising in the vibration analysis
of high speed trains
Christian Mehl, Andreas Hilliges and Volker Mehrmann,
Technical University Berlin.

Solving nonlinear eigenproblems in accelerator cavity design
LieQuan Lee, L. Ge, Z. Li, C. Ng and K. Ko,
Stanford Linear Accelerator Center, and
B. Liao, Z. Bai, University of California, Davis and
W. Gao, C. Yang, P. Husbands and E. G. Ng, Lawrence Berkeley National Lab.
 SIAM News Article
 From SelfConsistency to SOAR:
Solving LargeScale Nonlinear Eigenvalue Problems,
SIAM News, Vol. 39, No. 3, April 2006
pdf file