Variational procedure and generalized Lanczos recursion for small-amplitude classical oscillations

Prominence seismology using small amplitude oscillations

Quiescent prominences are thin slabs of cold, dense plasma embedded in the much hotter and rarer solar corona. Although their global shape is rather irregular, they are often characterised by an internal structure consisting of a large number of thin, parallel threads piled together. Prominences often display periodic disturbances mostly observed in the Doppler displacement of spectral lines an...

An Implementation of a Generalized Lanczos Procedure for Structural Dynamic Analysis on Distributed Memory Computers

This paper describes a parallel implementation of a generalized Lanczos procedure for structural dynamic analysis on a distributed memory parallel computer. One major cost of the generalized Lanczos procedure is the factorization of the (shifted) stiffness matrix and the forward and backward solution of triangular systems. In this paper, we discuss load assignment of a sparse matrix and propose...

A Filtered Lanczos Procedure for Extreme and Interior Eigenvalue Problems

When combined with Krylov projection methods, polynomial filtering can provide a powerful method for extracting extreme or interior eigenvalues of large sparse matrices. This general approach can be quite efficient in the situation when a large number of eigenvalues is sought. However, its competitiveness depends critically on a good implementation. This paper presents a technique based on such...

Modified Bar Recursion and Classical Dependent Choice

An ' li 2 error expression for the Lanczos procedure *

The Lancws procedure is widely used in model reduction of large-scale djnamical systems. In this note we introduce an exact expression for the Hz norm of the error system in the Lanczos procedure. To our knowledge, this is the first such global result fur the Lanczos procedure. Then we tnm our attention to the rational Krylov method, which has the disadvantage that the selection of interpolatio...