| On Generalized Inverse Vector Valued Continued Fraction Interpolation Splines |
| Received:March 19, 1996 |
| Key Words:
vectors continued fractions rational splines
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| Fund Project:Project supported by National Natural Science Foundation of China. |
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| Abstract: |
| The definition of vector valned continned fraction interpolating splines is at first introduced by means of generalized inverse of a vector. In the computation of the interpolating splines,which are of representation of the convergences for Thiele-type continned fraction.the three relation is avioded and a new effective recursive algorithm is constrncted. A sufficient condition for existence is given. Some interpolation results incluing uniqueness are given. In the end. a exact interpolation remainder formula is obtained. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1999.01.001 |
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