From: Iterative algorithms for solutions of Hammerstein equations in real Banach spaces
 | Algorithm (1.8) | Algorithm (1.9) | Algorithm (3.9) | |||
---|---|---|---|---|---|---|
n | \(\|u_{n+1}\|\) | \(\|v_{n+1}\|\) | \(\|u_{n+1}\|\) | \(\|v_{n+1}\|\) | \(\|u_{n+1}\|\) | \(\|v_{n+1}\|\) |
1 | 1 | 2 | 1 | 2 | 1 | 2 |
2 | 5.0 | 9.0 | 3.2426 | 6.0711 | 4.138 | 6.665 |
3 | 5.5 | 24.0 | 5.7301 | 21.5393 | 7.464 | 24.944 |
10 | 0.0331 | 0.1479 | 153.338 | 562.409 | 231.37 | 998.396 |
20 | 0.0002 | 0.0007 | 4.1488 | 17.0121 | 37.730 | 73.156 |
41 | 4.780 × e−6 | 6.6 × e−6 | 0.0862 | 0.0571 | 3.323 × e−8 | 1.064 × e−7 |
50 | 2.377 × e−6 | 2.387 × e−6 | 0.0784 | 0.0519 | successful | |
100 | 1.703 × e−7 | 2.438 × e−8 | 0.0561 | 0.0371 | successful | |
116 | 9.703 × e−8 | 2.043 × e−8 | 0.0519 | 0.0343 | successful | |
200 | successful | 0.03993 | 0.0263 | successful | ||
500 | successful | 0.02539 | 0.0167 | successful | ||
1000 | successful | 0.0179 | 0.0118 | successful |