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Table 1 Characteristics of systems for ssGBLUP and ssSNPBLUP

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

Evaluation

Model\(^{\text{a}}\)

#Equations

#Iterations

Smallest eig.

Largest eig.

\({\kappa }\) \(^{\text{b}}\)

FIN

ssGBLUP (10)

11,373,208

4912

\(3.270*10^{-6}\)

3.924

\(1.200*10^{6}\)

ssGBLUP (30)

11,373,208

4929

\(3.269*10^{-6}\)

3.934

\(1.203*10^{6}\)

ssSNPBLUP (10)

11,627,330

5001

\(3.270*10^{-6}\)

3.921

\(1.199*10^{6}\)

ssSNPBLUP (30)

11,627,330

4937

\(3.269*10^{-6}\)

3.931

\(1.202*10^{6}\)

KAR

ssGBLUP (10)

26,709,604

3902

\(2.882*10^{-6}\)

5.062

\(1.757*10^{6}\)

ssGBLUP (30)

26,709,604

3968

\(2.379*10^{-6}\)

5.063

\(2.128*10^{6}\)

ssSNPBLUP (10)

26,861,584

4037

\(2.811*10^{-6}\)

5.062

\(1.801*10^{6}\)

ssSNPBLUP (30)

26,861,584

3988

\(2.366*10^{-6}\)

5.063

\(2.140*10^{6}\)

LVD

ssGBLUP (10)

96,688,714

5431

\(6.248*10^{-6}\)

8.635

\(1.382*10^{6}\)

ssSNPBLUP (10)

96,916,684

5888

\(5.312*10^{-6}\)

8.935

\(1.682*10^{6}\)

LVD + block

ssGBLUP (10)

96,688,714

1761

\(1.672*10^{-5}\)

4.160

\(2.488*10^{5}\)

ssGBLUP (30)

96,688,714

1959

\(1.295*10^{-5}\)

4.161

\(3.212*10^{5}\)

ssSNPBLUP (10)

96,916,684

2542

\(1.140*10^{-5}\)

6.201

\(5.441*10^{5}\)

ssSNPBLUP (30)

96,916,684

2336

\(1.260*10^{-5}\)

5.686

\(4.513*10^{5}\)

  1. aPercentage of variance (due to additive genetic effects) explained by residual polygenic effects
  2. b\(\kappa\) = Effective spectral condition number of the preconditioned coefficient matrix