Global Convergence of a Closed-Loop Regularized Newton Method for Solving Monotone Inclusions in Hilbert Spaces

نویسندگان

  • Hédy Attouch
  • Patrick Redont
  • Benar Fux Svaiter
چکیده

We analyze the global convergence properties of some variants of regularized continuous Newton methods for convex optimization and monotone inclusions in Hilbert spaces. The regularization term is of LevenbergMarquardt type and acts in an open-loop or closed-loop form. In the open-loop case the regularization term may be of bounded variation.

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عنوان ژورنال:
  • J. Optimization Theory and Applications

دوره 157  شماره 

صفحات  -

تاریخ انتشار 2013