Table 1 The iterative errors ( \(\pmb{\Vert \mathbf{x}_{n}-\mathbf{x}^{*}\Vert _{2}}\) ) of various methods
From: The convergence theorem for fourth-order super-Halley method in weaker conditions
n | CM | HM | SHM | Method ( 3 ) |
|---|---|---|---|---|
1 | 3.086657e−001 | 2.169261e−001 | 5.962251e−002 | 3.119924e−002 |
2 | 1.198959e−003 | 4.506048e−003 | 1.913033e−005 | 1.989913e−006 |
3 | 1.099899e−007 | 2.048709e−008 | 1.435454e−014 | 7.771561e−016 |
4 | 3.140185e−016 | 5.438960e−016 | 8.599751e−016 |  |