Spectral gradient projection method for solving nonlinear monotone equations (Q2503021)

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Spectral gradient projection method for solving nonlinear monotone equations
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    Spectral gradient projection method for solving nonlinear monotone equations (English)
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    13 September 2006
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    The authors report an algorithm for solving nonlinear monotone equations. The method is a combination of a modified spectral gradient method and a projection method. They prove global convergence of the algorithm provided the nonlinear equation is monotone and Lipschitz continuous, and extend the applicability of the algorithm to non-smooth equations. Preliminary numerical results illustrate the efficiency of the proposed algorithm.
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    spectral gradient method
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    projection method
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    Lipschitz continuity
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    global convergence
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    algorithm
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    nonlinear monotone equations
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    numerical results
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