Perturbation theory for linear/nonlinear eigenvalue problems in action - Part I of II
For Part II, see MS-Mo-E-26

Date: August 10
Time: 13:30--15:30
Room: 110

(Note: Click title to show the abstract.)

Nakatsukasa, Yuji (Univ. of Tokyo)
Miedlar, Agnieszka (EPF Lausanne)

Abstract: In numerical analysis, perturbation theory has earned their fame as primarily theoretical contributions, but nonetheless their role in practical computations is crucial.
Perturbation results are used extensively for analyzing stability of numerical algorithms or the accuracy of numerical approximation, and sometimes to inspire new algorithm design. Applications include solving PDEs, simulating dynamical systems and model reduction.
With the goal to share its beauty and practical importance to a broader audience, this minisymposium reviews classical and recent outstanding results and open problems in eigenvalue perturbation theory, treating both matrices (linear, polynomial and general nonlinear eigenvalue problems) and linear operators.

Relative perturbation theory for diagonally dominant matrices
Dopico, Froilan M. (Universidad Carlos III de Madrid)

Convergence proof for some iterative projection methods from a perturbation bound for symmetric eigenvalue problems
Aishima, Kensuke (The Univ. of Tokyo)

Perturbation of Partitioned Linear Response Eigenvalue Problems
Teng, Zhongming (Fujian Agriculture & Forestry Univ.)
Li, Ren-Cang (Univ. of Texas at Arlington)

Generic Low-Rank Perturbations of Alternating Matrix Pencils
Batzke, Leonhard (Technical Univ. Berlin)


Code: Type-Date-Time-Room No.
Type : IL=Invited Lecture, SL=Special Lectures, MS=Minisymposia, IM=Industrial Minisymposia, CP=Contributed Papers, PP=Posters
Date: Mo=Monday, Tu=Tuesday, We=Wednesday, Th=Thursday, Fr=Friday
Time : A=8:30-9:30, B=10:00-11:00, C=11:10-12:10, BC=10:00-12:10, D=13:30-15:30, E=16:00-18:00, F=19:00-20:00, G=12:10-13:30, H=15:30-16:00
Room No.: TBA