This talk concerns the eigenvalue embedding problem (EEP) of updating
a symmetric ¯nite-element model so that its few troublesome eigenvalues are
replaced by some chosen ones, while the remaining large number eigenvalues
and eigenvectors of the original model do not change. In this presentation,
the speaker plans to outline how to utilize the inherent freedom of the EEP
to derive an expression of parameterized solutions to the EEP, and how to
use this expression to develop a more novel numerical method for solving
the EEP, in which the parameters in the solutions will be optimized in some
sense. The speaker will also present some results of numerical experiments to
show that the present algorithm is feasible and e±cient, and can outperform
the earlier methods for solving this problem.