Data Processing Division, Agriculture Canada, Ottawa, Canada.
Theor Appl Genet. 1977 Sep;49(5):237-41. doi: 10.1007/BF00274478.
The numerator relationship matrix describes the genetic relationships between individuals of a population. Its inverse is used for the prediction of breeding values, as outlined by Henderson (1975a).For large populations, the recursive method commonly used is difficult to apply because of the size of the relationship matrix. Recently Henderson (1975b) derived a method which allows computing the inverse of the numerator relationship matrix itself for a large number of animals, provided the population is non-inbred. The method presented here is an extension of Henderson's method to allow for inbreeding with large number of animals. It takes inbreeding into account and computes the numerator relationship matrix as well as its inverse. The method is particularly efficient in computer storage in that it allows handling of sets of animals larger than 5000 animals, and is almost as fast as the recursive method.
分子关系矩阵描述了群体中个体之间的遗传关系。其逆矩阵可用于预测育种值，这是由 Henderson（1975a）提出的。对于大型群体，由于关系矩阵的大小，通常使用的递归方法难以应用。最近，Henderson（1975b）推导了一种方法，允许在群体非近交的情况下，对大量动物进行分子关系矩阵的逆矩阵计算。本文提出的方法是对 Henderson 方法的扩展，允许对大量动物进行近交。它考虑了近交，并计算了分子关系矩阵及其逆矩阵。该方法在计算机存储方面非常高效，因为它允许处理大于 5000 个动物的集合，并且几乎与递归方法一样快。
