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Table 4 Average runtime in minutes (s.e.) of the Gauss–Seidel solver with and without randomizing the order of markers for updating marker effects, with increasing numbers of SNPs and environments, based on 10 replicates of scenarios 4 (4311 SNPs) and 5 (42,034 SNPs)

From: A new approach fits multivariate genomic prediction models efficiently

Randomized

Number of SNPs

Number of environments

PEGS

THGS

UV-THGS

Yes

4311

10

0.2 (0)

0.2 (0)

0.1 (0)

Yes

4311

50

3.5 (0.4)

3.5 (0.4)

0.6 (0)

Yes

4311

100

14.4 (2)

14.4 (1.8)

1.1 (0)

Yes

4311

200

80.5 (10.1)

79.2 (11)

2.3 (0.1)

Yes

4311

400

459.3 (55.1)

448 (58)

4.3 (0.1)

No

4311

10

5.5 (1)

5.4 (0.9)

1.9 (0.2)

No

4311

50

44.9 (7)

44.6 (6.9)

9.3 (1.1)

No

4311

100

120.9 (10.1)

123.7 (9.9)

20 (1.8)

No

4311

200

361.1 (48.9)

364.6 (44.4)

39.3 (2.8)

No

4311

400

1261.8 (115.8)

1261.7 (107.9)

74.1 (8.3)

Yes

42,034

10

0.8 (0.1)

0.8 (0)

1.2 (0.1)

Yes

42,034

50

9.9 (0.4)

12.5 (1.3)

5.7 (0.4)

Yes

42,034

100

36.4 (1.4)

29.2 (2.7)

11.3 (0.6)

Yes

42,034

200

123.2 (17.1)

119.7 (10.1)

22.5 (2)

Yes

 

400

730 (64.4)

802.2 (118.2)

46.4 (4.1)

No

42,034

10

64a (14.7)

64.2a (16)

14.5 (5.1)

No

42,034

50

540.2a (38.3)

536a (26.8)

106.5 (63.2)

No

42,034

100

1109.6a (71.5)

1148.1a (109.3)

181.4 (40.6)

No

42,034

200

3057.3a (292.7)

3001.2a (259)

310.3 (114.8)

  1. PEGS pseudo expectation Gauss–Seidel, THGS tilde-hat Gauss–Seidel, UV-THGS univariate-tilde-hat Gauss–Seidel
  2. aDid not converge within 2000 iterations