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Inverse of a Matrix of Relationships Due to Sires and Maternal Grandsires

Department of Animal Science, Cornell University, Ithaca, NY 14853

ABSTRACT

The most important identifiable relationships among sires used in artificial insemination are due to common sires and maternal grandsires. A rapid method for finding the inverse of a numerator relationship matrix resulting from use of these two points in the pedigree has been developed. As a consequence, relationships among all sires to be evaluated can be incorporated easily into best linear unbiased prediction of future progeny of these sires.

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