Smoothing and Regularization with Modified Sparse Approximate Inverses

Table 2

Smoothing factors by using 𝑀9_opt (37), SPAI, and MSPAI with local probing conditions for the 2D 9-point stencil 𝐴₃ of order 𝑛=1024.

𝑀9opt	SPAI	weight	local probing conditions
		𝜌	𝜌𝑆9𝐿1	𝜌𝑆9𝐿2	𝜌𝑆9𝐿3	𝜌𝑆9𝐿4	𝜌𝑆9𝐿5
0.0588	0.1657	0.2	0.147	0.161	0.150	0.116	0.095
		1.0	0.129	0.136	0.077	0.066	0.069
		2.0	0.130	0.129	0.063	0.063
		10^1	0.126	0.126	0.070	0.062	0.068
		10^2	0.130	0.127	0.071