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TWO DUALS OF ONE PRIMAL

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概要 As a primal problem we take a quadratic minimization without constraint. The problem has a Golden terminal function. We associate the primal problem with two dual problems — (1) complementary and (2) ...identical —. Each dual problem is derived through two dualizations— (i) plus-minus and (ii) dynamic —. Plus-minus dualization is based upon Fenchel duality, while dynamic dualization Lagrange duality. In any derivation, completing the square is performed simultaneously. The primal and both duals are completely solved. The solution is characterized by the Golden number. The optimum points constitute two types of Golden path. It is shown that the primal and the complementary dual have Golden complementary duality and that the primal and the identical dual have Golden identical duality.続きを見る

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登録日 2019.02.26
更新日 2020.10.22

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