| A Compact Determinantal Representation for Inverse Difference |
| Received:July 15, 1996 |
| Key Words:
inverse difference reciprocal difference determinant.
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| Fund Project:Supported by National Natural Science Foundation of China(19501011) and the Spanning-Century Foundation for Excellent Talents of the Ministry of Machine Buildiug Industry of China(97250902) |
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| Abstract: |
| A compact determinantal representation for inverse difference is given. From the representation it is easy to know that the inverse difference of a function at some n + 1 points x0, x1, xn depends on th orderings of these points and it is locally independent of the permutation of first n - 1 points. Moreover we define reciprocal difference from another point of view, get the relation between inverse difference and reciprocal difference and obtain the property that the reciprocal difference is globally independent of the permutation of the points. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2000.01.004 |
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