計測自動制御学会論文集
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
非線形計画問題の罰関数法による数値解の誤差範囲
伊藤 輝生
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ジャーナル フリー

1977 年 13 巻 2 号 p. 142-147

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抄録
Numerical solutions of nonlinear programming problems by the penalty function method are, in general, approximate solutions. An error in these solutions consists of two parts: one is the error between the approximate solution and the true extremal solution of the penalty function, and the other is the error between its true extremal solution and the true solution of the nonlinear programming problem. Urabe's theorem can give the error bound for the former error. In this paper, the error bound theorem for the latter error is given and a numerical technique and a numerical example are given.
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