ISSN:
1572-9265
Keywords:
pseudospectra
;
spectral portrait
;
Davidson's method
;
conjugate gradient iteration
;
sparse matrix
;
parallelism
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract The eigenanalysis of matrices or operators based only on the knowledge of the spectrum may be misleading in the non-normal case. Instead of the spectrum, one may fully characterize the spectral behavior of a non-normal matrix by analyzing its spectral portrait, i.e., the set of its resolvent norm. In this paper, we propose a parallel version of the generalized Davidson method for analyzing and plotting the spectral portrait of large non-normal matrices. We report the performance results obtained on the machine Paragon.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1019126827697
Permalink