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Characteristics of the mixed model equations and computing requirements for a diagonal preconditioner (DIAG), a block-diagonal preconditioner (BLOX), and symmetric successive over-relaxation (SSOR) preconditioning schemes for single- and multithreaded computations

 
No. of iterates
Elapsed time, h
Threads Rel.1 Param.2 NNZ3 DIAG BLOX SSOR DIAG BLOX SSOR
Single A−1 MV 918 5,550 1,999 1,724 4.73 1.84 1.92
PC 1,377 2,784 2,109 1,095 3.10 2.57 1.81
H−1 MV 8,162 6,691 2,910 1,994 17.58 28.25 11.53
PC 2,035 3,921 2,984 1,320 5.04 4.11 2.36
Multiple A−1 MV 918 5,521 1,991 1,724 1.83 0.99 1.66
PC 1,377 2,803 2,107 1,095 1.57 1.43 1.64
H−1 MV 8,162 6,681 2,889 1,994 3.75 18.30 4.73
PC 2,035 3,929 2,965 1,320 2.24 2.31 2.06
1Rel. = relationship matrix; A−1 = pedigree base relationship matrix; H−1 = = relationship matrix for single step analysis combining pedigree and genomic information.
2Param. = parameterization; MV = standard multivariate; PC = principal components.
3NNZ = number of nonzero elements in 1 triangle of coefficient matrix (in millions).