Smoothing and Regularization with Modified Sparse Approximate Inverses

Table 1

Smoothing factors by using 𝑀3_opt (16), SPAI, and MSPAI with local probing conditions for the constant coefficient system 𝐴₁ of order 𝑛=10³.

𝑀3opt	SPAI	Weight	Local probing conditions
		𝜌	𝜌𝑆3𝐿1∧0.7𝑆3𝐿2	𝜌𝑆3𝐿3
0.0588	0.250	1.0	0.134	0.083
		2.0	0.107	0.077
		10^1	0.095	0.075
		10^2