Subspace iteration for complex symmetric eigenproblems

Leung, Andrew Yee Tak

doi:10.1006/jsvi.1995.0337

Subspace iteration for complex symmetric eigenproblems

Author(s)

Leung, Andrew Yee Tak

Date Issued

1995

Publisher

Elsevier

Journal

Journal of Sound and Vibration

Volume

184

Issue

4

Start page

627

End page

637

Abstract

For a heavily damped system, either viscous or hysteretic or both, the homogeneous solution constitutes a generalized complex symmetric eigenproblem[formula]where[A]and[B]are sparse complex symmetric matrices. The general method to solve the transformed eigenproblem[formula]is very demanding in computation and computer storage. The subspace iteration method is generalized to the complex problem. Sparsity and symmetry of the matrices are exploited and cluster eigensolutions can be handled without difficulty. A generalized Jacobi method is adopted to solve the condensed eigenproblem. FORTRAN listing and numerical examples are given.

URI

https://repository.sfu.edu.hk/handle/sfu/3308

DOI

10.1006/jsvi.1995.0337

SFU Affiliated Publication

No

Availability at SFU Library

No database links found.