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Theory and Modern Applications

Table 1 Number of operations (real arithmetic)

From: On highly efficient derivative-free family of numerical methods for solving polynomial equation simultaneously

Methods

\(\mbox{AS}_{m}\)

\(\mbox{M}_{m}\)

\(\mbox{D}_{m}\)

NIM12

\(7m^{2}+O(m)\)

\(5m^{2}+O(m)\)

\(2m^{2}+O(m)\)

NIM10

\(22m^{2}+O(m)\)

\(18m^{2}+O(m)\)

\(2m^{2}+O(m)\)