Saturday, May 15

MS72
Eigenvalue Problems and Applications

Sponsored by SIAM Activity Group on Linear Algebra

10:30 AM-12:30 PM
Room: Capitol North

Algebraic eigenvalue problems and their applications continue to be a challenging yet fruitful area of research for numerical analysts.The speakers will describe four diverse topics relating to the eigenvalue problem: relative perturbation theory, implementation of the multishift QR-algorithm, eigenvalue-based characterization of positive realness of transfer functions, and solution of the quadratic matrix equation AX²+ BX + C = 0 associated with the quadratic eigenvalue problem.

Organizer: Nicholas J. Higham
University of Manchester, United Kingdom

10:30-10:55 A New Relative Perturbation Theorem for Singular Subspaces

Ren-Cang Li, University of Kentucky; and G. W. Stewart, University of Maryland, College Park

11:00-11:25 The Multishift QR-Algorithm: Aggressive Deflation, Maintaining Well Focused Shifts, and Level 3 Performance

Karen Braman and Ralph Byers, University of Kansas, Lawrence

11:30-11:55 Passivity and Eigenvalue Problems

Zhaojun Bai, University of Kentucky; and Roland Freund, Bell Laboratories, Lucent Technologies

12:00-12:25 Solving a Quadratic Matrix Equation by Newton's Method with Exact Line Searches

Nicholas J. Higham, Organizer; and Hyun-Min Kim, University of Manchester, United Kingdom

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tjf, 1/20/99, MMD, 4/30/99