| 有理插值的扩展方程组与约束方程组 |
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| 引用本文： | 盛中平,王晓辉,朱本喜.有理插值的扩展方程组与约束方程组[J].高等学校计算数学学报,2005,27(1):85-96. |
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| 作者姓名： | 盛中平 王晓辉 朱本喜 |
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| 作者单位： | 东北师范大学数学系,长春,130024;吉林大学数学学院,长春,130023 |
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| 摘 要： | Firstly, using the elementary solution, this paper provides the fundammental structure of the general solution of the (m/n)f system of equations in the rational interpolating problem, and points out the significance of the elementary solution. Secondly, it introduces the systems of extended equations and of constrained equations, analyses their properties, gives the structures of their general solution, obtains the relations of both them and the elementary solution, reveals the importance of their describing the elementary solution. And lastly , it computes an example for the two kinds of svstems.
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| 关 键 词： | 有理插值 约束方程 方程组 扩展 |
THE SYSTEMS OF EXTENDED EQUATIONS AND OF CONSTRAINED EQUATIONS IN THE RATIONAL INTERPOLATING PROBLEM |
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| Sheng Zhongping,Wang Xiaohui,Zhu Benxi.THE SYSTEMS OF EXTENDED EQUATIONS AND OF CONSTRAINED EQUATIONS IN THE RATIONAL INTERPOLATING PROBLEM[J].Numerical Mathematics A Journal of Chinese Universities,2005,27(1):85-96. |
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| Authors: | Sheng Zhongping Wang Xiaohui Zhu Benxi |
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| Abstract: | Firstly, using the elementary solution, this paper provides the fundamental structure of the general solution of the (m/n)f system of equations in the rational interpolating problem, and points out the significance of the elementary solution. Secondly, it introduces the systems of extended equations and of constrained equations, analyses their properties, gives the structures of their general solution, obtains the relations of both them and the elementary solution, reveals the importance of their describing the elementary solution. And lastly , it computes an example for the two kinds of systems. |
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| Keywords: | rational interpolation (m/n)f system of equations elementary solu tion |
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