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A semismooth Newton method for a kind of HJB equation. (English) Zbl 1375.49041

Summary: In this paper, we present a semismooth Newton method for a kind of HJB equation. By suitably choosing the initial iterative point, the method is proved to have monotone convergence. Moreover, the semismooth Newton method has local superlinear convergence rate. Some simple numerical results are reported.

MSC:

49M15 Newton-type methods
49L20 Dynamic programming in optimal control and differential games
Full Text: DOI

References:

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