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• W2322127974 abstract "Abstract This paper proposes a curve for the one‐dimensional search method in optimization problems. The search is along a curve instead of a line. This curve is determined by a parameter [u] from the following three points: (1) the initial point Xo, (2) the Cauchy point Xc, (3) the Newton point XN, and has the following four characteristics: (1) tangents to the steepest descent direction at Xo, (2) passes through XN, (3) decreases monotonically from Xo to XN for a quadratic function, (4) no complex computation on the parameter u. Therefore, the proposed method has the following advantages: (1) it is globally convergent, (2) it is locally q‐quadratically (or q‐superlinearly for quasi‐Newton point) convergent, (3) the search procedure is as simple as the line search method." @default.
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• W2322127974 date "1992-06-01" @default.
• W2322127974 modified "2023-09-27" @default.
• W2322127974 title "Solving optimization problems by searching along a curve" @default.
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• W2322127974 doi "https://doi.org/10.1080/02533839.1992.9677434" @default.
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