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On Complementary Duals—Both Fixed Points—
https://doi.org/10.18997/00007674
https://doi.org/10.18997/000076749c9d6eda-105d-4648-8a87-da86fbe2e40c
| 名前 / ファイル | ライセンス | アクション |
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math67_p1_28.pdf (166.6 kB)
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| アイテムタイプ | 紀要論文 = Departmental Bulletin Paper(1) | |||||||||||||
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| 公開日 | 2020-03-31 | |||||||||||||
| 資源タイプ | ||||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||||
| 資源タイプ | departmental bulletin paper | |||||||||||||
| タイトル | ||||||||||||||
| タイトル | On Complementary Duals—Both Fixed Points— | |||||||||||||
| 言語 | en | |||||||||||||
| 言語 | ||||||||||||||
| 言語 | eng | |||||||||||||
| 著者 |
Iwamoto, Seiichi
× Iwamoto, Seiichi× Kimura, Yutaka× 藤田, 敏治
WEKO
3432
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| 抄録 | ||||||||||||||
| 内容記述タイプ | Abstract | |||||||||||||
| 内容記述 | We consider a quadratic minimization (primal) problem with both fixed endpoints and its associated maximization (dual) problem from a view point of complementarity. We focus on a pair of linear terms, which generates the respective quadratic functions (sums of squares) through an elementary inequality. We show that a complementary identity plays a fundamental part in establishing a dual relation between primal and dual. The identity produces the pair with an equality condition. The condition turns out to be a linear system of 2n-equation in 2n-variable. The system yields a couple of solutions, one is a minimum solution and the other is a maximum one. In the n-variable pair, both the solutions turn out to be complementary. The optimal solution is characterized by the backward Fibonacci sequence. The duality is enhanced through conjugate function. The solution is also given by dynamic programming. Thus Fibonacci complementary duality is established through the complementary identity approach. | |||||||||||||
| 言語 | en | |||||||||||||
| 書誌情報 |
en : Bulletin of the Kyushu Institute of Technology. Pure and applied mathematics ja : 九州工業大学研究報告. 数理 号 67, p. 1-28, 発行日 2020-03-31 |
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| 出版者 | ||||||||||||||
| 出版者 | 九州工業大学大学院工学研究院 | |||||||||||||
| 言語 | ja | |||||||||||||
| 出版者 | ||||||||||||||
| 出版者 | Kyushu Institute of Technology Faculty of Engineering | |||||||||||||
| 言語 | en | |||||||||||||
| NCID | ||||||||||||||
| 収録物識別子タイプ | NCID | |||||||||||||
| 収録物識別子 | AA11237040 | |||||||||||||
| ISSN | ||||||||||||||
| 収録物識別子タイプ | EISSN | |||||||||||||
| 収録物識別子 | 2758-9889 | |||||||||||||
| ISSN | ||||||||||||||
| 収録物識別子タイプ | PISSN | |||||||||||||
| 収録物識別子 | 1343-8670 | |||||||||||||
| 版 | ||||||||||||||
| 出版タイプ | VoR | |||||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||||
| 査読の有無 | ||||||||||||||
| 値 | no | |||||||||||||
| ID登録 | ||||||||||||||
| ID登録 | 10.18997/00007674 | |||||||||||||
| ID登録タイプ | JaLC | |||||||||||||
