2022
DOI: 10.1016/j.aml.2022.108325
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Iterative schemes for finding all roots simultaneously of nonlinear equations

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Cited by 10 publications
(13 citation statements)
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“…It can be demonstrated in a simple way, as in [6], that if we combine any iterative method for systems with the iterative step (2), we will obtain a new method that obtains several solutions simultaneously with duplicated order regarding the original scheme for systems.…”
Section: Contains the Elements Of Thementioning
confidence: 99%
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“…It can be demonstrated in a simple way, as in [6], that if we combine any iterative method for systems with the iterative step (2), we will obtain a new method that obtains several solutions simultaneously with duplicated order regarding the original scheme for systems.…”
Section: Contains the Elements Of Thementioning
confidence: 99%
“…The results obtain for the Freudenstein-Roth function are shown in Table 2. The methods employed are P S , from [6], and J F S by changing the values of the parameter β , which in this case is equal for all the components of the initial guess. Here it is shown that depending on how we change the values of the parameter, the results obtained also vary.…”
Section: Freudenstein-roth Functionmentioning
confidence: 99%
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“…Nonlinear equations are widely used in computational science and engineering modeling because of their ability to accurately represent the complexities of real-world phenomena, resulting in more precise predictions, optimizations, and insights into system behaviors in a wide range of scientific and engineering disciplines [1][2][3][4][5], including fluid dynamics [6], quantum mechanics [7], electromagnetism, and computational biology processes [8], to name only a few. They are especially important in chaos theory and complexity, where they can model systems with great sensitivity to initial conditions, e.g., in meteorology, population dynamics, and in the financial sector [9,10].…”
Section: Introductionmentioning
confidence: 99%