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Journal of Shanghai University（Natural Science Edition） ›› 2013, Vol. 19 ›› Issue (2): 170-175.doi: 10.3969/j.issn.1007-2861.2013.02.012

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

Vector Compression Control and Compression Monotonic Function

ZHOU Mei-xiu1, ZHANG Xiao-ming2, YAN Wen-lan3   

  1. (. 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
  • Received:2012-09-18 Online:2013-04-30 Published:2013-04-30

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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.

Key words: compression control, Schur function, vector compression

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