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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.
 et 
Juan R. Torregrosa

Juan R. Torregrosa

Instituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de ValènciaValencia, Spain
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Torregrosa, Juan R.
  
19 avr. 2019
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Publié en ligne: 19 avr. 2019
Pages: 43 - 56
Reçu: 21 janv. 2019
Accepté: 26 févr. 2019
DOI: https://doi.org/10.2478/AMNS.2019.1.00005
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© 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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Sciences de la vie, Sciences de la vie, autres, Mathématiques, Mathématiques appliquées, Mathématiques générales, Physique, Physique, autres
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