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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
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