Comparing the basins of attraction for Kanwar–Bhatia–Kansal family to the best fourth order method

A class of two-point sixth-order multiple-zero finders of modified double-Newton type and their dynamics

“…The dynamics behind basins of attraction was initiated by Stewart [41] and followed by works of Amat et al [2][3][4][5], Scott et al [38], Chun et al [10], Chun and Neta [11], Chicharro et al [8], Cordero et al [16], Neta et al [30], [33], Argyros and Magreñan [7], Magreñan [29], Magreñan et al [28], Andreu et al [6] and Chun et al [12]. The only papers comparing basins of attraction for methods to obtain multiple roots are due to Neta et al [31], Neta and Chun [32,34], and Chun and Neta [13,14].…”

Comparative study of methods of various orders for finding repeated roots of nonlinear equations

“…Remark: The authors gave an erroneous value of µ which is corrected in [17]. The authors considered three members of the family.…”

“…[16]). The only papers comparing basins of attraction for methods to obtain multiple roots are due to Geum et al [24], [25] and [26], Neta et al [41], Neta and Chun [42], [43], [44], and Chun and Neta [17], [18].…”

Comparison of several families of optimal eighth order methods

“…This idea was started by Stewart [16] and continued in the work of Amat et al [17][18][19][20], Scott et al [21], Chun et al [22], Chun and Neta [23], Chicharro et al [24], Cordero et al [25], Neta et al [26,27], Argyros and Magreñan [28], Magreñan [29], Geum et al [30] and Chun et al [31]. The only papers comparing basins of attraction for methods to obtain multiple roots are due to Neta et al [32], Neta and Chun [33,34], Chun and Neta [35][36][37].…”