| Block Based Bivariate Blending Rational Interpolation via Symmetric Branched Continued Fractions |
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| 作者姓名： | Qianjin Zhao Jieqing Tan |
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| 作者单位： | [1]School of Computer ＆ Information, Hefei University of Technology, Hefei 230009, China. [2]Institute of Applied Mathematics, Hefei University of Technology, Hefei 230009, China. |
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| 基金项目： | 国家自然科学基金
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安徽省自然科学基金
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安徽省教育厅青年创新基金 |
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| 摘 要： | This paper constructs a new kind of block based bivariate blending rational interpolation via symmetric branched continued fractions. The construction process may be outlined as follows. The first step is to divide the original set of support points into some subsets (blocks). Then construct each block by using symmetric branched continued fraction. Finally assemble these blocks by Newton’s method to shape the whole interpolation scheme. Our new method offers many flexible bivariate blending rational interpolation schemes which include the classical bivariate Newton’s polynomial interpolation and symmetric branched continued fraction interpolation as its special cases. The block based bivariate blending rational interpolation is in fact a kind of tradeoff between the purely linear interpolation and the purely nonlinear interpolation. Finally, numerical examples are given to show the effectiveness of the proposed method.
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| 关 键 词： | 插值 函数构造论 二变量 非线性特征 |
| 收稿时间： | 2005-03-22 |
| 修稿时间： | 2006-02-27 |
Block Based Bivariate Blending Rational Interpolation via Symmetric Branched Continued Fractions |
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| Qianjin Zhao Jieqing Tan.Block Based Bivariate Blending Rational Interpolation via Symmetric Branched Continued Fractions[J].Numerical Mathematics A Journal of Chinese Universities English Series,2007,16(1):63-73. |
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| Authors: | Qianjin Zhao Jieqing Tan |
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| Abstract: | This paper constructs a new kind of block based bivariate blending rational interpolation via symmetric branched continued fractions. The construction process may be outlined as follows. The first step is to divide the original set of support points into some subsets (blocks). Then construct each block by using symmetric branched continued fraction.Finally assemble these blocks by Newton's method to shape the whole interpolation scheme.Our new method offers many flexible bivariate blending rational interpolation schemes which include the classical bivariate Newton's polynomial interpolation and symmetric branched continued fraction interpolation as its special cases. The block based bivariate blending rational interpolation is in fact a kind of tradeoff between the purely linear interpolation and the purely nonlinear interpolation. Finally,numerical examples are given to show the effectiveness of the proposed method. |
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| Keywords: | Interpolation block based bivariate partial divided differences symmetric branched con- tinued fractions blending method |
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