Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9662449 | Computers & Mathematics with Applications | 2005 | 6 Pages |
Abstract
In this paper, a fully parallel method for finding some or all finite eigenvalues of a real symmetric matrix pencil (A, B) is presented, where A is a symmetric tridiagonal matrix and B is a diagonal matrix with b1 > 0 and bi ⥠0, i = 2,3,â¦,n. The method is based on the homotopy continuation with rank 2 perturbation. It is shown that there are exactly m disjoint, smooth homotopy paths connecting the trivial eigenvalues to the desired eigenvalues, where m is the number of finite eigenvalues of (A, B). It is also shown that the homotopy curves are monotonic and easy to follow.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Kuiyuan Li, J. Uvah, Shengbian Zhao,