| 向量压缩控制与压缩单调函数 |
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| 引用本文： | 周美秀,张小明,严文兰.向量压缩控制与压缩单调函数[J].上海大学学报(自然科学版),2013,19(2):170-175. |
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| 作者姓名： | 周美秀 张小明 严文兰 |
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| 作者单位： | 1. 浙江广播电视大学开放与远程教育研究院, 杭州310030; 2. 浙江广播电视大学海宁学院, 浙江海宁314400; 3. 忠信中学, 广东河源517139 |
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| 基金项目： | 国家自然科学基金资助项目(10971194); 浙江省教育厅科研计划资助项目(Y201223283); 浙江广播电视大学高层次人才科研基金资助项目(GRJ-08) |
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| 摘 要： | 通过定义向量压缩控制与压缩单调函数, 给出压缩单调函数的微分判别定理, 用以克服向量控制和Schur凸凹函数的缺点. 通过实例说明, 向量压缩控制比经典的向量控制要狭窄, 压缩单调增(减)函数比Schur凸(凹)函数范围要广.
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| 关 键 词： | 压缩控制 Schur函数 向量控制 |
| 收稿时间： | 2012-09-18 |
Vector Compression Control and Compression Monotonic Function |
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| ZHOU Mei-xiu,ZHANG Xiao-ming,YAN Wen-lan.Vector Compression Control and Compression Monotonic Function[J].Journal of Shanghai University(Natural Science),2013,19(2):170-175. |
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| Authors: | ZHOU Mei-xiu ZHANG Xiao-ming YAN Wen-lan |
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| Institution: | (. Open and Distance Education Research Institure, Zhejiang Radio & Television University, Hangzhou 310030, China; 2. Haining College, Zhejiang Radio & Television University, Haining 314400, Zhejiang, China; 3. Zhongxin High School, Heyuan 517139, Guangdong, China |
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| Abstract: | This paper defines vector compression control and compression monotonic function, and presents a differential distinguishing theorem of compression monotonic function to overcome the defects of vector control and the Schur convex/concave function. With an example, it is shown that vector compression control is narrower than the classical vector control, and the compression monotonic increase/decrease function is broader than the Schur convex/concave function. |
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| Keywords: | compression control Schur function vector compression |
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