Figure 1.
Colour map used in the experiments.
Figure 1.
Colour map used in the experiments.
Figure 2.
Polynomiographs of the Picard iteration for and varying .
Figure 2.
Polynomiographs of the Picard iteration for and varying .
Figure 3.
Polynomiographs of the Picard iteration for and varying .
Figure 3.
Polynomiographs of the Picard iteration for and varying .
Figure 4.
Polynomiographs of the Picard iteration for and varying .
Figure 4.
Polynomiographs of the Picard iteration for and varying .
Figure 5.
Polynomiographs of the Picard iteration for and varying .
Figure 5.
Polynomiographs of the Picard iteration for and varying .
Figure 6.
Polynomiographs of the Picard iteration for and varying .
Figure 6.
Polynomiographs of the Picard iteration for and varying .
Figure 7.
Magnification of the central part of selected polynomiographs of the Picard iteration.
Figure 7.
Magnification of the central part of selected polynomiographs of the Picard iteration.
Figure 8.
Polynomiographs of the Mann iteration with the fixed reference point for , , . The positions of the reference point: (a) , (b) , (c) (one of the roots), (d) the starting point.
Figure 8.
Polynomiographs of the Mann iteration with the fixed reference point for , , . The positions of the reference point: (a) , (b) , (c) (one of the roots), (d) the starting point.
Figure 9.
Polynomiographs of the Mann iteration for and varying .
Figure 9.
Polynomiographs of the Mann iteration for and varying .
Figure 10.
Polynomiographs of the Mann iteration for , and varying .
Figure 10.
Polynomiographs of the Mann iteration for , and varying .
Figure 11.
Polynomiographs of the Mann iteration for , and varying .
Figure 11.
Polynomiographs of the Mann iteration for , and varying .
Figure 12.
Polynomiographs of the Mann iteration for , and varying .
Figure 12.
Polynomiographs of the Mann iteration for , and varying .
Figure 13.
Polynomiographs of the Mann iteration for , and varying .
Figure 13.
Polynomiographs of the Mann iteration for , and varying .
Figure 14.
Polynomiographs of the Mann iteration for , and varying .
Figure 14.
Polynomiographs of the Mann iteration for , and varying .
Figure 15.
Polynomiographs of the Mann iteration for , and varying .
Figure 15.
Polynomiographs of the Mann iteration for , and varying .
Figure 16.
Polynomiographs of the Mann iteration for , and varying .
Figure 16.
Polynomiographs of the Mann iteration for , and varying .
Figure 17.
Magnification of the central part of selected polynomiographs of the Mann iteration.
Figure 17.
Magnification of the central part of selected polynomiographs of the Mann iteration.
Figure 18.
Polynomiographs of the Ishikawa iteration for , , , , and varying .
Figure 18.
Polynomiographs of the Ishikawa iteration for , , , , and varying .
Figure 19.
Polynomiographs of the Ishikawa iteration for , , , , and varying .
Figure 19.
Polynomiographs of the Ishikawa iteration for , , , , and varying .
Figure 20.
Polynomiographs of the Das–Debata iteration for , , , , and varying .
Figure 20.
Polynomiographs of the Das–Debata iteration for , , , , and varying .
Figure 21.
Polynomiographs of the Das–Debata iteration for , , , , and varying .
Figure 21.
Polynomiographs of the Das–Debata iteration for , , , , and varying .
Figure 22.
Polynomiographs of the Das–Debata iteration for , , , , and varying .
Figure 22.
Polynomiographs of the Das–Debata iteration for , , , , and varying .
Figure 23.
Polynomiographs of the Das–Debata iteration for , , , , and varying .
Figure 23.
Polynomiographs of the Das–Debata iteration for , , , , and varying .
Figure 24.
Magnification of the central part of selected polynomiographs of Ishikawa and Das–Debata iterations.
Figure 24.
Magnification of the central part of selected polynomiographs of Ishikawa and Das–Debata iterations.
Figure 25.
Polynomiographs of the Agarwal iteration for , , , , , , and varying .
Figure 25.
Polynomiographs of the Agarwal iteration for , , , , , , and varying .
Figure 26.
Polynomiographs of the Agarwal iteration for , , , , , , and varying .
Figure 26.
Polynomiographs of the Agarwal iteration for , , , , , , and varying .
Figure 27.
Polynomiographs of the generalised Agarwal iteration for , , , .
Figure 27.
Polynomiographs of the generalised Agarwal iteration for , , , .
Figure 28.
Polynomiographs of the generalised Agarwal iteration for , , , , , .
Figure 28.
Polynomiographs of the generalised Agarwal iteration for , , , , , .
Figure 29.
Polynomiographs of the generalised Agarwal iteration for , , , , , , () and varying .
Figure 29.
Polynomiographs of the generalised Agarwal iteration for , , , , , , () and varying .
Figure 30.
Polynomiographs of the Khan–Cho–Abbas iteration for , , , , , , and varying .
Figure 30.
Polynomiographs of the Khan–Cho–Abbas iteration for , , , , , , and varying .
Figure 31.
Polynomiographs of the generalised Agarwal iteration for , , , , , , () and varying .
Figure 31.
Polynomiographs of the generalised Agarwal iteration for , , , , , , () and varying .
Figure 32.
Polynomiographs of the Khan–Cho–Abbas iteration for , , , , , , and varying .
Figure 32.
Polynomiographs of the Khan–Cho–Abbas iteration for , , , , , , and varying .
Figure 33.
Polynomiographs of the generalised Agarwal iteration for , , , , , , and varying .
Figure 33.
Polynomiographs of the generalised Agarwal iteration for , , , , , , and varying .
Figure 34.
Polynomiographs of the generalised Agarwal iteration for , , , , , , and varying .
Figure 34.
Polynomiographs of the generalised Agarwal iteration for , , , , , , and varying .
Figure 35.
Magnification of the central part of selected polynomiographs of Agarwal and Khan–Cho–Abbas iterations.
Figure 35.
Magnification of the central part of selected polynomiographs of Agarwal and Khan–Cho–Abbas iterations.
Figure 36.
Polynomiographs of the Picard iteration for the polynomiograph settings from the
Figure 4d.
Figure 36.
Polynomiographs of the Picard iteration for the polynomiograph settings from the
Figure 4d.
Figure 37.
Polynomiographs of the Mann iteration for the polynomiograph settings from the
Figure 15b.
Figure 37.
Polynomiographs of the Mann iteration for the polynomiograph settings from the
Figure 15b.
Figure 38.
Polynomiographs of the Ishikawa iteration for the polynomiograph settings from the
Figure 18b.
Figure 38.
Polynomiographs of the Ishikawa iteration for the polynomiograph settings from the
Figure 18b.
Figure 39.
Polynomiographs of the Das–Debata iteration for the polynomiograph settings from the
Figure 21a.
Figure 39.
Polynomiographs of the Das–Debata iteration for the polynomiograph settings from the
Figure 21a.
Figure 40.
Polynomiographs of the Agarwal iteration for the polynomiograph settings from the
Figure 26a.
Figure 40.
Polynomiographs of the Agarwal iteration for the polynomiograph settings from the
Figure 26a.
Figure 41.
Polynomiographs of the generalised Agarwal iteration for the polynomiograph settings from the
Figure 29a.
Figure 41.
Polynomiographs of the generalised Agarwal iteration for the polynomiograph settings from the
Figure 29a.
Figure 42.
Polynomiographs of the Khan–Cho–Abbas iteration for the polynomiograph settings from the
Figure 30a.
Figure 42.
Polynomiographs of the Khan–Cho–Abbas iteration for the polynomiograph settings from the
Figure 30a.
Table 1.
Computational order of convergence for system given by
,
solved by (
8).
Table 1.
Computational order of convergence for system given by
,
solved by (
8).
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