Newton–Raphson preconditioner for Krylov type solvers on GPU devices

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Table 1 Properties of matrices used in the current studies

	Type	N	NNZ
GR_30_30	SPD: Finite-difference Laplacians	900	7742
BCSSTK14	SPD: Structural Engineering Matrices	1806	63,454
BCSSTK15	SPD: Structural Engineering Matrices	3948	117,816
RDB450	Unsymmetric: Reaction–diffusion Brusselator Model	450	2580

N denotes the dimension of a matrix, and NNZ denotes the number of nonzero components. SPD stands for symmetric positive definite