Newton Methods for Quasidifferentiable Equations and Their Convergence

Y. Gao
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Y. Gao: University of Shanghai for Science and Technology

Journal of Optimization Theory and Applications, 2006, vol. 131, issue 3, No 7, 417-428

Abstract: Abstract The Newton method and the inexact Newton method for solving quasidifferentiable equations via the quasidifferential are investigated. The notion of Q-semismoothness for a quasidifferentiable function is proposed. The superlinear convergence of the Newton method proposed by Zhang and Xia is proved under the Q-semismooth assumption. An inexact Newton method is developed and its linear convergence is shown.

Keywords: Nonsmooth equations; quasidifferential calculus; Newton methods (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/s10957-006-9153-1

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