Table 1 Numerical results of Example 4.4 for iteration process ( 4.4 )
From: A modified regularization method for finding zeros of monotone operators in Hilbert spaces
n | \(\boldsymbol{z_{n}=(t_{n},u_{n},v_{n})^{T}}\) | \(\boldsymbol{F(z_{n})+G(z_{n})}\) | \(\boldsymbol{\| z_{n+1}-z_{n}\|_{2}}\) |
|---|---|---|---|
1 | (−0.9999988000,4.9999960000,0.9999984000) | 21.499964000010 | 3.6464868709E + 00 |
2 | (−0.8749992000,1.6249970000,−0.3750010000) | −1.601574899991 | 1.8007236270E + 00 |
3 | (−0.9004624463,0.0000000000,−1.1504634130) | −7.134189931344 | 4.1056538071E − 01 |
4 | (−0.9346061331,0.0000000000,−1.5596065914) | −7.400888643932 | 2.1362893808E − 01 |
5 | (−0.9593029918,0.0000000000,−1.7718031709) | −7.473134980367 | 1.1059145541E − 01 |
6 | (−0.9750218023,0.0000000000,−1.8812718377) | −7.492639856561 | 5.7254600304E − 02 |
7 | (−0.9845953935,0.0000000000,−1.9377203595) | −7.497941972237 | 2.9747437021E − 02 |
8 | (−0.9903445225,0.0000000000,−1.9669069578) | −7.499405811158 | 1.5563253898E − 02 |
9 | (−0.9938004751,0.0000000000,−1.9820816494) | −7.499820249302 | 8.2314060025E − 03 |
10 | (−0.9959001978,0.0000000000,−1.9900407454) | −7.499942002435 | 4.4231489769E − 03 |
â‹® | â‹® | â‹® | â‹® |
50 | (−0.9999828882,0.0000000000,−1.9999828718) | −7.499999999707 | 1.4278683289E − 06 |
51 | (−0.9999838977,0.0000000000,−1.9999838817) | −7.499999999740 | 1.3175686638E − 06 |
52 | (−0.9999848292,0.0000000000,−1.9999848135) | −7.499999999770 | 1.2177300519E − 06 |
53 | (−0.9999856901,0.0000000000,−1.9999856747) | −7.499999999795 | 1.1271827509E − 06 |
54 | (−0.9999864870,0.0000000000,−1.9999864719) | −7.499999999817 | 1.0449069970E − 06 |
55 | (−0.9999872257,0.0000000000,−1.9999872109) | −7.499999999837 | 9.7001140362E − 07 |