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Table 2 Numbers of GCR iterations to convergence

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

 

DIAG

SSOR

BFGS–DIAG

BFGS–SSOR

BFGS

m = 3

m = 5

m = 7

m = 10

m = 3

m = 5

m = 7

m = 10

GR_30_30

224

55

155

120

157

169

47

50

50

50

65

BCSSTK14

2422

NA

1554

1447

1415

1668

439

535

526

584

584

BCSSTK15

NA

NA

5448

7161

5856

NA

1599

1474

2396

NA

788

RDB450

NA

NA

113,940

111,350

86,928

NA

15,066

19,880

19,960

26,308

NA

  1. NA denotes the preconditioned GCR doesn’t converge within 150,000 iterations, and m denotes the number of previous iterations to be taken into consideration