journal articleThe objective of this study was to describe an iterative algorithm to deregress genomically-enhanced breeding values (GEBV) in single-step genomic BLUP (ssGBLUP). The method is an extension of the previous work by the first two authors, who gave a deregression method in singe-step SNP BLUP. The inverse of the unified relationship matrix (H-1), which is a function of the inverse of genomic relationship matrix (G-1) and the inverse of the additive relationship matrix (A-1), was considered in the deregression method. Effective daughter contribution (ERC) for bulls or effective record contribution (ERC), which are functions of reliability of GEBV, should be used as weights on deregressed proof. The deregression algorithm consists of a series of matrix-vector multiplications, and the number of iterations is expected to be limited. The computational cost of this approach was discussed. Further research is needed to confirm the ‘reversibility’ of deregressed GEBV.journal articl