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Applied Mathematics and Mechanics

, Volume 7, Issue 2, pp 189–195 | Cite as

Function of region

  • Ho Chong
Article

Abstract

The purpose of this paper is to extend points function and interval functions theoretics to an arbitrary region. For this, the new theory, the contraction of a region, and the retraction of a region; the extension of a region, and the kernel-preserving extension of a region are established by the author. Starting from these concepts, the new definitions of a region function is given. And a kernel (i.e. fixed point) of a region function is connected with a stable centre of defining region of such a region function. Thereby, the region theoretics and algorithms are established.

In applications, to find a stable centre of a region, the author has utilized the measure theoretics of matrice defined by Hartfiel(7) and other authors. The measure problems of coefficient matrice of system of equations of linear algebra associated with some region are discussed.

Keywords

Mathematical Modeling Industrial Mathematic Linear Algebra Region Function Point Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    Burkill, J. C., Function of intervals,Proc. London Math. Soc.,22 (1923), 275.Google Scholar
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    Hartfiel, D. J., A general theory of measure for nonnegative matrices,Linear Algebra and Appl.,35 (1981), 21–35.Google Scholar

Copyright information

© Shanghai University of Technology (SUT) 1986

Authors and Affiliations

  • Ho Chong
    • 1
  1. 1.Institute of Scientific Sinica InformationChongqing

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