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A parallel algorithm for the nonsymmetric eigenvalue problem

Journal Article · · SIAM Journal on Scientific and Statistical Computing (Society for Industrial and Applied Mathematics); (United States)
DOI:https://doi.org/10.1137/0914035· OSTI ID:6455506
 [1];  [2]
  1. Univ. of Tennessee, Knoxville (United States)
  2. Oak Ridge National Lab., TN (United States)
The algebraic eigenvalue problem is one of the fundamental problems in computational mathematics. It arises in many applications and therefore represents an important area of algorithmic research. The problem has received considerable attention, which has resulted in reliable methods. However, it is reasonable to expect that calculations might be accelerated through the use of parallel algorithms. This paper describes a parallel algorithm for computing the eigenvalues and eigenvectors of a nonsymmetric matrix. The algorithm is based on a divide-and-conquer procedure and uses an iterative refinement technique.
DOE Contract Number:
AC05-84OR21400
OSTI ID:
6455506
Journal Information:
SIAM Journal on Scientific and Statistical Computing (Society for Industrial and Applied Mathematics); (United States), Journal Name: SIAM Journal on Scientific and Statistical Computing (Society for Industrial and Applied Mathematics); (United States) Vol. 14:3; ISSN 0196-5204; ISSN SIJCD4
Country of Publication:
United States
Language:
English