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Stability analysis of fourth-order iterative method for finding multiple roots of non-linear equations

Alicia Cordero

Alicia Cordero

Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de ValènciaValencia, Spain
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Cordero, Alicia
, 
Jai P. Jaiswal

Jai P. Jaiswal

Department of Mathematics, Maulana Azad National Institute of TechnologyBhopal, India
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Jaiswal, Jai P.
 and 
Juan R. Torregrosa

Juan R. Torregrosa

Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de ValènciaValencia, Spain
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Torregrosa, Juan R.
  
Apr 19, 2019
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Published Online: Apr 19, 2019
Page range: 43 - 56
Received: Jan 21, 2019
Accepted: Feb 26, 2019
DOI: https://doi.org/10.2478/AMNS.2019.1.00005
Keywords
© 2019 Alicia Cordero et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Stability functions of the strange fixed points
Stability functions of the strange fixed points

Fig. 2

Dynamical planes with stable behavior
Dynamical planes with stable behavior

Fig. 3

Dynamical planes with unstable behavior
Dynamical planes with unstable behavior

Fig. 4

Stability function of the fixed points z = ∞ and z = 1, for m = 3
Stability function of the fixed points z = ∞ and z = 1, for m = 3

Fig. 5

Stability functions of the strange fixed points Ri(s4), i = 2,3, . . . ,13 for m = 3
Stability functions of the strange fixed points Ri(s4), i = 2,3, . . . ,13 for m = 3

Fig. 6

Dynamical planes with stable behavior for m = 3
Dynamical planes with stable behavior for m = 3

Fig. 7

Dynamical planes with unstable behavior
Dynamical planes with unstable behavior
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