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Journal of Dairy Science Vol. 73 No. 12 3583-3585
© 1990 by American Dairy Science Association ®
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Property of Trace in Restricted Maximum Likelihood Estimation of Variance Components

I. Misztal 1 and Y. Da 1

1 Department of Animal Sciences, University of Illinois, Urbana 61801

In the expectation-maximization REML algorithm, the trace function is the most computationally intensive operation, because it involves the inverse of the coefficient matrix of the mixed model equations. In the animal model contributions to the trace function from animals without records are all constant. Consequently, the part of the inverse and trace corresponding to these animals need not be computed.

Key Words: restricted maximum likelihood • relationship matrix • animal model

Submitted on April 16, 1990
Accepted on June 25, 1990






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Copyright © 1990 by the American Dairy Science Association ®.