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Theory and Modern Applications

Table 4 The maximum, minimum, and average number of iterations per time step for the proposed algorithm

From: An inertial parallel algorithm for a finite family of G-nonexpansive mappings with application to the diffusion problem

Proposed method with parameter \(\vartheta _{n}\)

Proposed method with operator T with their iteration number

\(T^{\mathrm{WJ}}\)

\(T^{\mathrm{GS}}\)

\(T^{\mathrm{SOR}}\)

Max

Min

Aver

Max

Min

Aver

Max

Min

Aver

Cases I–IV

14

14

14.0000

12

11

11.5475

12

11

11.5475

Case V

14

12

13.9970

12

10

11.5355

12

10

11.5355

Case VI

13

12

12.8849

10

10

10.0000

10

10

10.0000