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Basins of attraction for various steffensen-type methods
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نویسنده
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cordero a. ,soleymani f. ,torregrosa j.r. ,shateyi s.
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منبع
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journal of applied mathematics - 2014 - دوره : 2014 - شماره : 0
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چکیده
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The dynamical behavior of different steffensen-type methods is analyzed. we check the chaotic behaviors alongside the convergence radii (understood as the wideness of the basin of attraction) needed by steffensen-type methods,that is,derivative-free iteration functions,to converge to a root and compare the results using different numerical tests. we will conclude that the convergence radii (and the stability) of steffensen-type methods are improved by increasing the convergence order. the computer programming package mathematica provides a powerful but easy environment for all aspects of numerics. this paper puts on show one of the application of this computer algebra system in finding fixed points of iteration functions. © 2014 alicia cordero et al.
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آدرس
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instituto de matemática multidisciplinar,universitat politècnica de valència, Spain, department of mathematics,islamic azad university, ایران, instituto de matemática multidisciplinar,universitat politècnica de valència, Spain, department of mathematics and applied mathematics,school of mathematical and natural sciences,university of venda,private bag x5050, South Africa
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Authors
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