Tridiagonal Inverse Quadratic Eigenvalue Problems with Partial Eigendata
Speaker:Prof. Bai Zhengjian
School of Mathematical Sciences
Xiamen University, Xiamen, China
Date & Time:10 Feb 2010 (Wednesday) 10:30 - 12:00
Venue:J308
Organized by:Department of Mathematics

Abstract

In this talk, we present our recent development on tridiagonal inverse quadratic eigenvalue problems in vibrations where the parameterized mass, damping, and stiffness matrices are all symmetric tridiagonal and positive semi-definite. We propose the (regularized) smoothing Newton-type methods for solving the inverse problem from the measured eigendata. We show that our approaches have global and local quadratic convergence under some mild assumptions. We also report some numerical tests to illustrate the efficiency of our methods.