Deflation techniques applied on mixed model equations

In this paper, we consider a block Jacobi preconditioner and various deflation techniques applied in the Deflated Preconditioned Conjugate Gradient (DPCG) method for solving a sparse system of linear equations derived from a statistical linear mixed model that analyses simultaneously phenotypic and pedigree information of genotyped and...

Convergence behavior of single-step GBLUP and SNPBLUP for different termination criteria

Background<br/>The preconditioned conjugate gradient (PCG) method is the current method of choice for iterative solving of genetic evaluations. The relative difference between two successive iterates and the relative residual of the system of equations are usually chosen as a termination criterion for the PCG method in animal breeding. However,...

A second-level diagonal preconditionerfor single-step SNPBLUP

Background<br/>The preconditioned conjugate gradient (PCG) method is an iterative solver of linear equations systems commonly used in animal breeding. However, the PCG method has been shown to encounter convergence issues when applied to single-step single nucleotide polymorphism BLUP (ssSNPBLUP) models. Recently, we proposed a deflated PCG ...

Deflated preconditioned conjugate gradient method for solving single-step BLUP models efficiently

Background:<br/>The single-step single nucleotide polymorphism best linear unbiased prediction (ssSNPBLUP) method, such as single-step genomic BLUP (ssGBLUP), simultaneously analyses phenotypic, pedigree, and genomic informa-<br/>tion of genotyped and non-genotyped animals. In contrast to ssGBLUP, SNP effects are fitted explicitly as random...