On Generalized Inverse Vector Valued Continued Fraction Interpolation Splines
Author(s): Gu Chuanqing
Pages: 1-8
Year: 1999 Issue: 1
Journal: JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION
Keyword: vectors; continued fractions; rational splines;
Abstract: The definition of vector valued continued fraction interpolating splinesis at first introduced by means of generalized inverse of a vector.In the computation of the interpolating splines, which are of representationof the convergences for Thiele-type continued fraction,the three recurencerelation is avioded and a new,effective recursive algorithm is constructed.A sufficient condition for existence is given. Some interpolation resultsincluing uniqueness are given. In the end, a exact interpolation remainderformula is obtained.
Pages: 1-8
Year: 1999 Issue: 1
Journal: JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION
Keyword: vectors; continued fractions; rational splines;
Abstract: The definition of vector valued continued fraction interpolating splinesis at first introduced by means of generalized inverse of a vector.In the computation of the interpolating splines, which are of representationof the convergences for Thiele-type continued fraction,the three recurencerelation is avioded and a new,effective recursive algorithm is constructed.A sufficient condition for existence is given. Some interpolation resultsincluing uniqueness are given. In the end, a exact interpolation remainderformula is obtained.
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