Research Article

A Polynomial Preconditioned Global CMRH Method for Linear Systems with Multiple Right-Hand Sides

Table 1

Number of restarts and CPU time (in brackets) for Example 1.

Gl-GMRES Gl-CMRH WGl-CMRH PGl-CMRH

10,000 121 (18.0) 85 (7.4) 89 (8.4) 24 (4.1)
14,400 150 (34.6) 85 (11.8) 116 (17.3) 23 (6.0)
22,500 259 (133.4) 165 (42.8) 173 (53.5) 37 (17.0)
40,000 450 (585.8) 255 (173.0) 302 (235.2) 26 (32.3)
44,100 496 (699.9) 322 (253.3) 368 (313.6) 39 (45.0)