Technical note: A successive over-relaxation preconditioner to solve mixed model equations for genetic evaluation.

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Bibliographic Details
Title: Technical note: A successive over-relaxation preconditioner to solve mixed model equations for genetic evaluation.
Authors: Meyer, K.1
Source: Journal of Animal Science. Nov2016, Vol. 94 Issue 11, p4530-4535. 6p. 1 Chart.
Document Type: Article
Subjects: Sheep genetics, Genomics, Computing platforms, Animal breeding, Algorithms
Author-Supplied Keywords: computational requirements
genetic evaluation
preconditioned conjugate gradient algorithm
symmetric successive over-relaxation preconditioner
Abstract: A computationally efficient preconditioned conjugate gradient algorithm with a symmetric successive over-relaxation (SSOR) preconditioner for the iterative solution of set mixed model equations is described. The potential computational savings of this approach are examined for an example of single-step genomic evaluation of Australian sheep. Results show that the SSOR preconditioner can substantially reduce the number of iterates required for solutions to converge compared with simpler preconditioners with marked reductions in overall computing time. [ABSTRACT FROM AUTHOR]
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Author Affiliations: 1Animal Genetics and Breeding Unit, University of New England, Armidale NSW 2351, Australia.
ISSN: 0021-8812
DOI: 10.2527/jas.2016-0665
Accession Number: 119438348
Database: Veterinary Source
Description
Abstract:A computationally efficient preconditioned conjugate gradient algorithm with a symmetric successive over-relaxation (SSOR) preconditioner for the iterative solution of set mixed model equations is described. The potential computational savings of this approach are examined for an example of single-step genomic evaluation of Australian sheep. Results show that the SSOR preconditioner can substantially reduce the number of iterates required for solutions to converge compared with simpler preconditioners with marked reductions in overall computing time. [ABSTRACT FROM AUTHOR]
ISSN:00218812
DOI:10.2527/jas.2016-0665