Newton's method's basin of attraction for sign-changing solutions of concave and convex nonlinearities (Q613215)

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scientific article; zbMATH DE number 5828075
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Newton's method's basin of attraction for sign-changing solutions of concave and convex nonlinearities
scientific article; zbMATH DE number 5828075

    Statements

    Newton's method's basin of attraction for sign-changing solutions of concave and convex nonlinearities (English)
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    20 December 2010
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    Newton-Raphson method
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    contractor iteration method
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    basin of attraction
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    sign-changing solutions
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    concave and convex nonlinearities
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    numerical examples
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    nonlinear elliptic eigenvalue problem
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    series expansion
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    chaotic behavior
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    bifurcation method
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    convergence
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