Research Article
A Globally Convergent Hybrid Conjugate Gradient Method and Its Numerical Behaviors
Table 7
Numerical results for some boundary value problems.
| | Algorithm | #2 (10000) | #8 (10000) | #12 (10000) | #13 (5000) | #14 (10000) | #24 (1000) | #25 (10000) | #26 (1000) | #27 (10000) | #29 (1000) | #31 (1000) |
| | MDYHS+ | 2/3/0.004 | 9/13/0.07 | 9/19/0.02 | 369/738/0.66 | 8/10/0.06 | 5/9/0.38 | 16/27/0.07 | 367/734/0.16 | 180/360/0.58 | 1007/2014/0.72 | 2/2/0.003 | | MDYHS+1 | 2/4/0.004 | 7/16/0.08 | 3/6/0.01 | 1043/1043/1.30 | 7/7/0.04 | 4/8/0.32 | 12/15/0.04 | 983/983/0.30 | 500/500/1.05 | 1000/1000/0.50 | 1/2/0.006 |
| | MDYHS+ | 11/21/0.02 | 26/47/0.21 | 19/39/0.04 | 3012/6024/5.06 | 19/31/0.14 | 15/29/1.16 | 25/45/0.08 | 1052/2104/0.46 | 10013/20026/28.03 | 1181/2362/0.83 | 9/9/0.004 | | MDYHS+1 | 3/6/0.005 | 15/32/0.10 | 4/8/0.01 | 5000/5000/5.61 | 11/11/0.06 | 6/12/0.42 | 21/24/0.05 | 1000/1000/0.31 | 10000/10000/19.14 | 1000/1000/0.49 | 8/9/0.007 |
| | MDYHS+ | 21/41/0.03 | 46/87/0.40 | 29/59/0.05 | 7267/14537/11.92 | 29/52/0.21 | 25/49/1.95 | 35/65/0.12 | 1653/3306/0.74 | 19831/39662/54.61 | 1995/3990/1.41 | 2413/2413/1.06 | | MDYHS+1 | 3/6/0.005 | 23/48/0.14 | 5/10/0.01 | 5002/5002/5.70 | 16/16/0.08 | 9/18/0.68 | 31/34/0.08 | 1000/1000/0.31 | 20003/20003/38.82 | 1000/1000/0.49 | 2413/2414/1.06 |
| | MDYHS+ | 31/61/0.05 | 56/105/0.45 | 39/78/0.06 | 9972/19944/16.08 | 39/72/0.30 | 35/69/2.66 | 45/85/0.16 | 2236/4472/0.98 | 30046/60092/92.66 | 2344/4680/1.65 | — | | MDYHS+1 | 4/8/0.006 | 31/64/0.19 | 5/10/0.01 | 5002/5002/5.93 | 21/21/0.12 | 12/24/0.83 | 42/45/0.09 | 1000/1000/0.31 | 29989/29989/58.47 | 1958/1985/0.96 | — |
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