Inverse Eigenvalue Problems in Structural Dynamics

Large - Scale Eigenvalue Problems in Structural Dynamics

A New Inexact Inverse Subspace Iteration for Generalized Eigenvalue Problems

In this paper, we represent an inexact inverse subspace iteration method for computing a few eigenpairs of the generalized eigenvalue problem Ax = Bx [Q. Ye and P. Zhang, Inexact inverse subspace iteration for generalized eigenvalue problems, Linear Algebra and its Application, 434 (2011) 1697-1715 ]. In particular, the linear convergence property of the inverse subspace iteration is preserved.

Inverse Eigenvalue Problems

A collection of inverse eigenvalue problems are identi ed and classi ed according to their characteristics Current developments in both the theoretic and the algorithmic aspects are summarized and reviewed in this paper This exposition also reveals many open questions that deserves further study An extensive bibliography of pertinent literature is attached

Structured Inverse Eigenvalue Problems

An inverse eigenvalue problem concerns the reconstruction of a structured matrix from prescribed spectral data. Such an inverse problem arises in many applications where parameters of a certain physical system are to be determined from the knowledge or expectation of its dynamical behavior. Spectral information is entailed because the dynamical behavior often is governed by the underlying natur...

a new inexact inverse subspace iteration for generalized eigenvalue problems

in this paper, we represent an inexact inverse subspace iteration method for com- puting a few eigenpairs of the generalized eigenvalue problem ax = bx[q. ye and p. zhang, inexact inverse subspace iteration for generalized eigenvalue problems, linear algebra and its application, 434 (2011) 1697-1715 ]. in particular, the linear convergence property of the inverse subspace iteration is preserved.