Model I, Eqs. 36 and 37

Largest matrix to invert

V, phenotypic variancecovariance matrix

C, coefficient matrix of MME

Size of largest matrix to invert

q × q, assuming one observation per individual

c + 2q for C

Largest matrix to store in memory

q × q P matrix

c + 2q for C

Applicable to singular genomic relationship matrices

Yes, inverse relationship matrices avoided

No, inverse relationship matrices required

Model II, Eqs. 38 and 39

Largest matrix to invert

V, phenotypic variancecovariance matrix

C, coefficient matrix of MME

Size of largest matrix to invert

q × q, assuming one observation per individual

c + n_{α} + n_{δ} for C

Largest matrix to store in memory

q × n_{α} and q × n_{δ}
T matrices, q × q P matrix

c + n_{α} + n_{δ} for C

Applicable to singular genomic relationship matrices

Yes, inverse relationship matrices avoided

Yes, inverse relationship matrices avoided
