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논문 기본 정보
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- 한국전산응용수학회 Journal of applied mathematics & computing Journal of applied mathematics & computing 제17권 제1호
- 발행연도
- 2005.1
- 수록면
- 401 - 418 (18page)
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In this paper, a dual algorithm, based on a smoothing function of Bertsekas (1982), is established for solving unconstrained minimax problems. It is proven that a sequence of points, generated by solving a sequence of unconstrained minimizers of the smoothing function with changing parameter t, converges with Q-superlinear rate to a Kuhn-Thcker point locally under some mild conditions. The relationship between the condition number of the Hessian matrix of the smoothing function and the parameter is studied, which also validates the convergence theory. Finally the numerical results are reported to show the effectiveness of this algorithm.
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