Tuyển tập các báo cáo nghiên cứu về sinh học được đăng trên tạp chí sinh học Journal of Biology đề tài: Generalizing the use of the canonical transformation for the solution of multivariate mixed model equations | Genet Sei Evol 1997 29 205-224 Elsevier Inra 205 Original article Generalizing the use of the canonical transformation for the solution of multivariate mixed model equations V Ducrocq1 H Chapuis1 2 1 Station de génétique quantitative et appliquée Institut national de la recherche agronomique 78352 Jouy-en-Josas cedex 2 Betina Selection Le Beau Chêne Trédion 56250 Elven France Received 4 December 1996 accepted 27 March 1997 Summary - The canonical transformation converts t correlated traits into t phenotypi-cally and genetically independent traits. Its application to multiple trait BLUP genetic evaluations decreases computing requirements increases the convergence rate of iterative solvers and simplifies programming. This paper presents alternative ways to retain at least partly these desirable characteristics in situations where the canonical transformation is theoretically impossible when some traits are missing in some animals including when a reduced animal model is used when more than one random effect is included in the model and when different traits are described by different models. genetic evaluation mixed model computing algorithm multiple trait animal model Resume Generalisation de I utilisation de la transformation canonique pour la resolution des equations du modèle mixte multicaractère. La transformation canoni-que remplace t caractères corrélés par t caractères génétiquement et phénotypiquement indépendants. Son application dans des evaluations génétiques de type BLUP multi-caractères diminue les besoins informatiques accroit la Vitesse de convergence d algo-rithmes de resolution iterative et simplifie la programmation. Cet article présente diffe-rentes manières de conserver au moins partiellement ces caractéristiques favorables dans les situations oil la transformation canonique est théoriquement impossible c est-à-dire quand certains caractères sont manquants pour certains animaux y compris lorsqu un modèle animal réduit est utilise quand plus d un
