• 제목/요약/키워드: semismooth function

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NEWTON AND QUASI-NEWTON METHODS FOR EQUATIONS OF SMOOTH COMPOSITIONS OF SEMISMOOTH FUNCTIONS

  • Gao, Yan
    • Journal of applied mathematics & informatics
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    • 제6권3호
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    • pp.747-756
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    • 1999

  • The Newtom method and the quasi-Newton method for solving equations of smooth compositions of semismooth functions are proposed. The Q-superlinear convergence of the Newton method and the Q-linear convergence of the quasi-Newton method are proved. The present methods can be more easily implemeted than previous ones for this class of nonsmooth equations.