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A parallel algorithm for the nonsymmetric eigenvalue problems

Conference ·
OSTI ID:125579
; ;

This paper presents a parallel algorithm to solve the eigenvalue problem for non-symmetric matrices. The idea of homotopy is used to generate initial approximations, then the Aberth method and our modified Aberth method are used to find simultaneously all the eigenvalues. The advantage of this approach is that multiple eigenvalues can be handled. In addition, the multiplicities of the eigenvalues can be detected dynamically.

OSTI ID:
125579
Report Number(s):
CONF-950212--
Country of Publication:
United States
Language:
English

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Related Subjects

99 GENERAL AND MISCELLANEOUS
ALGORITHMS
EIGENVALUES
FACTORIZATION
MATRICES
NUMERICAL SOLUTION
PARALLEL PROCESSING