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Table 6 Time to convergence on large problems

From: Newton–Raphson preconditioner for Krylov type solvers on GPU devices

 

DIAG

SSOR

BFGS–DIAG

BFGS–SSOR

m = 3

m = 5

m = 7

m = 10

m = 3

m = 5

m = 7

m = 10

\(25^3\)

9.45E−01

2.96E−01

5.06E−01

5.56E−01

7.65E−01

9.37E−01

3.14E−01

3.54E−01

3.57E−01

3.54E−01

\(50^3\)

2.93E+01

9.41E+00

1.46E+01

1.57E+01

1.79E+01

3.16E+01

5.19E+00

6.28E+00

8.53E+00

1.17E+01

\(100^3\)

9.68E+02

2.57E+02

2.84E+02

3.31E+02

3.78E+02

4.55E+02

1.35E+02

1.42E+02

1.48E+02

1.97E+02

  1. In the table, e.g. 5.14E−02 means \(5.14 \times 10^{-2}\) s, and m denotes the number of previous iterations to be taken into consideration