title: Simple and rapid inversion of additive relationship matrices incorporating parental uncertainty.
abstract: Animals bred in pastoral systems are often part of multiple-sire groups, introducing uncertainty into pedigrees. Genetic evaluation of sires and dams in such instances is complicated by the uncertainty of parenthood. This article defines a simple and rapid algorithm to compute the inverse of a numerator relationship matrix under uncertain parenthood. The algorithm can accommodate inbreeding and uncertainty of parenthood on both paternal and maternal sides of the pedigree.
authors.affiliation: Department of Animal Science, University of California, Davis 95616-8521.
authors.forename: T R
authors.initials: TR
authors.lastname: Famula
mesh_terms: D000465:Algorithms; D000818:Animals; D000829:Animals, Domestic / Q000235:genetics*; D001947:Breeding; D005260:Female; D007178:Inbreeding; D008297:Male; D010334:Paternity; D010375:Pedigree