Accession Number:

ADA156711

Title:

Partial Eigensolutions of Large Nonsymmetric Matrices.

Descriptive Note:

Research rept.,

Corporate Author:

YALE UNIV NEW HAVEN CT DEPT OF COMPUTER SCIENCE

Personal Author(s):

Report Date:

1985-06-01

Pagination or Media Count:

28.0

Abstract:

We propose several methods based on combinations of deflation techniques and polynomial iteration methods, for computing small invariant subspaces of large matrices, associated with the eigenvalues with largest or smallest real parts. We consider both Chebyshev polynomials and least-squares polynomials for the acceleration scheme and we propose a deflation technique which is a variant of Wielandts deflation that does not require the left eigenvectors of the matrix. As an application we compare our methods on an example issued from a bifurcation problem and show their efficiency when the number of eigvenvalues required is small.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE