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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
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- 한국전산응용수학회 Journal of applied mathematics & informatics Journal of applied mathematics & informatics 제27권 제1호
- 발행연도
- 2009.1
- 수록면
- 365 - 374 (10page)
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초록· 키워드
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Under certain conditions, we use augmented Lagrangians to transform a class of generalized semi-infinite min-max problems into common semi-infinite min-max problems, with the same set of local and global solutions. We give two conditions for the transformation. One is a necessary and sufficient condition, the other is a sufficient condition which can be verified easily in practice. From the transformation, we obtain a new first-order optimality condition for this class of generalized semi-infinite min-max problems.
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참고문헌 (12)
참고문헌 신청
I.D.Coope / 1985 / A projected Lagrangian algorithm for semi-infinite program-ming / Math. Program 32:337~356
E.Polak / 1997 / Optimization: Algorithms and Consistent Approximations / Springer-Verlag
E.Polak / 2005 / On the use of augmented Lagrangians in the solution of generalized semi-infinite min-max problems / Computational Optimization and Applications 31:173~192
E.Polak / 1982 / A recursive quadratic programming algorithm for semi-infinite opti-mization problems / Appl. Math. Opt 8:325~349
R.T.Rockafellar / 1974 / Augmented Lagrange multiplier functions and duality in nonconvex pro-gramming / SIAM J. Control 12:268~285
E.Polak / 1997 / Optimization: Algorithms and Consistent Approximations / Springer-Verlag
E.Polak / 2005 / On the use of augmented Lagrangians in the solution of generalized semi-infinite min-max problems / Computational Optimization and Applications 31:173~192
E.Polak / 1982 / A recursive quadratic programming algorithm for semi-infinite opti-mization problems / Appl. Math. Opt 8:325~349
R.T.Rockafellar / 1974 / Augmented Lagrange multiplier functions and duality in nonconvex pro-gramming / SIAM J. Control 12:268~285
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