Elsevier

Journal of Dairy Science

Volume 58, Issue 11, November 1975, Pages 1727-1730
Journal of Dairy Science

Research-Article
Rapid Method for Computing the Inverse of a Relationship Matrix

https://doi.org/10.3168/jds.S0022-0302(75)84776-XGet rights and content
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Abstract

The accuracy of prediction of breeding values can be improved by utilizing all relationships among animals to be evaluated. The inverse of the numerator relationship matrix is required for best prediction but is usually much too large to be computed by conventional inversion routines. A simple and rapid technique for finding this inverse directly from a list of sires and dams, bypassing computation of the matrix whose inverse is wanted, is presented.

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