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| 多元Tchebycheff逼近交换算法的收敛性 | |
| 引用本文： | 杨昌兰. 多元Tchebycheff逼近交换算法的收敛性[J]. 福建师范大学学报(自然科学版), 1992, 8(1): 7-15 |
| 作者姓名： | 杨昌兰 |
| 作者单位： | 福建师范大学数学系 |
| 摘 要： | 本文给出C~2(D)中严格凸函数二元一次最佳逼近的特征、求二元一次最佳逼近多项式的交换算法并证明该算法的收敛性。 |
| 关 键 词： | 唯一交错点组 交换算法 最佳逼近 |
Convergence of Exchange Algorithm of Tchebycheff Approximation in Several Variables |
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| Yang Changlan. Convergence of Exchange Algorithm of Tchebycheff Approximation in Several Variables[J]. Journal of Fujian Teachers University(Natural Science), 1992, 8(1): 7-15 | |
| Authors: | Yang Changlan |
| Affiliation: | Department of Mathematics |
| Abstract: | This paper gives the characterization of two-variable linear optimal approximation of strict convex functions in C~2(D), find the exchange algorithm of the polynomial of two-variable linear optimal approximation, and prove the convergence of this algorithm. |
| Keywords: | unique alternation points exchange algorithm opeimal approximation |
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