期刊論文
| 學年 | 73 |
|---|---|
| 學期 | 1 |
| 出版（發表）日期 | 1984-09-01 |
| 作品名稱 | A geometric Gordan-Stiemke theorem |
| 作品名稱（其他語言） | |
| 著者 | Barker, G.P.; Tam, Bit-Shun; Davila, Norbol |
| 單位 | 淡江大學數學學系 |
| 出版者 | Philadelphia: Elsevier Inc. |
| 著錄名稱、卷期、頁數 | Linear Algebra and Its Applications 61(C), pp.83-89 |
| 摘要 | Let C and K be closed cones in Rn. Denote by φ (K∩C) the face of C generated by K ∩ C, by φ(K ∩ D)D the dual face of φ(K ∩ C) in C∗, and by φ(-K∗ ∩ C∗) the face of C∗ generated by -K∗ ∩ C∗. It is proved that φ(K ∩ C∗) if and only if -C∗ ∩ [span(K ∩ C)] ⊥ ⊆ C∗ + K∗. In particular, the closedness of C∗ + K∗ is a sufficient condition. Our result contains a generalization of the Gordon-Stiemke theorem which appeared in a recent paper of Saunders and Schneider. |
| 關鍵字 | |
| 語言 | en |
| ISSN | 0024-3795 |
| 期刊性質 | 國外 |
| 收錄於 | SCI |
| 產學合作 | |
| 通訊作者 | Tam, Bit-Shun |
| 審稿制度 | |
| 國別 | USA |
| 公開徵稿 | |
| 出版型式 | 紙本 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41403 ) |