Title: ------ Computational Methods for Structured Eigenvalue Problems Organizers: ----------- Peter Benner (TU Chemnitz, Germany) Daniel Kressner (Umea University, Sweden, and University of Zagreb, Croatia) Abstract: --------- Linear and nonlinear eigenvalue problems that arise from applications in engineering, chemistry or physics are typically highly structured. Classes of structured matrices that have traditionally been a central issue in numerical linear algebra are symmetric, Hermitian, sparse, Toeplitz, Hankel, Hamiltonian and symplectic matrices, the latter two being related also to the solution of algebraic Riccati equations. Apart from those, new structures have emerged in recent years. These are often connected to linearizations of quadratic or rational eigenproblems. The associated matrix pencils are called even, odd, or palindromic. Currently, the development of numerical algorithms for these new matrix pencil structures is making rapid progress. In many cases, the matrix representations are not only highly redundant but also reflect some physical properties from the original problem. Consequently, the exploitation of these structures can have significant positive effects on the efficiency and accuracy of computational methods and therefore lies at the heart of modern numerical linear algebra. This minisymposium covers several aspects of structured eigenvalue problems, with emphasis on reliable and effective numerical methods. Justification: -------------- Having a background in developing algorithms and software for structured eigenvalue problems and their applications, we aim at presenting a minisymposium that covers several numerical aspects of structured eigenvalue computation. In particular, the presented research will lead to new numerical software with improved reliability and efficiency for many different application areas in engineering and science. This area has received considerable interest at various applied and computational mathematics conferences in the last few years and thus is closely connected to the scope of the ICIAM conference. Speakers: --------- Session 1: Daniel Kressner and Peter Benner HAPACK - a toolbox for solving structured eigenvalue problems Wen-Wei Lin (National Tsing Hua University, Taiwan) Structure-preserving doubling-type algorithms for solving Algebraic Riccati-Type Equations Martin Kleinsteuber (Universitaet Wuerzburg, Germany) Sort-Jacobi and Generalizations of the Symmetric Eigenvalue Problem Heike Faßbender (TU Braunschweig, Germany) On a quadratic eigenvalue problem arising in the analysis of delay equations Session 2: Niloufer Mackey (Western Michigan University, USA) The Search for Structured Linearizations Christian Mehl (TU Berlin, Germany) Palindromicity versus symplecticity Volker Mehrmann (TU Berlin, Germany) Staircase algorithms for palindromic and even eigenvalue problems Peter Benner (University of Kansas, USA) A numerical method for solving real Hamiltonian/skew-Hamiltonian eigenproblems