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A parallel solver for animal genetics

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Applied Parallel Computing Large Scale Scientific and Industrial Problems (PARA 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1541))

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Abstract

The use of linear multivariate mixed models in animal genetics, leads to very large, sparse linear systems of equations. The sparse, symmetric coefficient matrix is too large to be constructed explicitly. We describe a parallel, iterative linear equation solver for large sparse systems, developed by DIAS and UNI-C. The solver takes advantage of the structure of the multivariate mixed model equations, and is based on Gauss-Seidel and second order Jacobi iteration. It is parallelized for distributed memory architectures.

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References

  1. Henderson C.R., 1973. Sire evaluation and genetic trends. In Proc. of the Animal Breeding and Genetics Symposium in Honor of Dr. D.L. Lush. ASAS and ADSA, Champaign, Ill.

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  4. Young D.M., 1971. Iterative Solution of Large Linear Systems, Academic Press, chapter 16.

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Bo Kågström Jack Dongarra Erik Elmroth Jerzy Waśniewski

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© 1998 Springer-Verlag Berlin Heidelberg

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Madsen, P., Larsen, M. (1998). A parallel solver for animal genetics. In: Kågström, B., Dongarra, J., Elmroth, E., Waśniewski, J. (eds) Applied Parallel Computing Large Scale Scientific and Industrial Problems. PARA 1998. Lecture Notes in Computer Science, vol 1541. Springer, Berlin, Heidelberg . https://doi.org/10.1007/BFb0095350

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  • DOI: https://doi.org/10.1007/BFb0095350

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65414-8

  • Online ISBN: 978-3-540-49261-0

  • eBook Packages: Springer Book Archive

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