Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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NEWTON AND QUASI-NEWTON METHODS FOR EQUATIONS OF SMOOTH COMPOSITIONS OF SEMISMOOTH FUNCTIONS

  • Gao, Yan (Department of Mathematics and Physics Yanshan University)
  • Published : 1999.09.01

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Abstract

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.

Keywords

References

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