| Marchenko方程的递推算法 |
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| 引用本文： | 薛兴恒,张韵华.Marchenko方程的递推算法[J].中国科学技术大学学报,1990,20(4):486-490. |
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| 作者姓名： | 薛兴恒 张韵华 |
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| 作者单位： | 中国科技大学数学系
(薛兴恒)，中国科技大学数学系(张韵华) |
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| 摘 要： | Marchenko 积分方程是某些反演问题中出现的一类重要的特殊的积分方程,用梯形或抛物形公式离散化可转化为一类特殊的代数方程组.本文叙述并证明了这类代数方程组的一个递推算法.与通常的高斯消去相比,在计算量和存储量方面均为减少,而在数值精度上有所提高.
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| 关 键 词： | 积分方程 高斯消去法 递推算法 |
The Inversion Algorithm of Marchenko Equation |
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| Xue Xingheng Zhang Yunhua.The Inversion Algorithm of Marchenko Equation[J].Journal of University of Science and Technology of China,1990,20(4):486-490. |
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| Authors: | Xue Xingheng Zhang Yunhua |
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| Institution: | Department of Mathematics |
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| Abstract: | Marchenko equation is a kind of important and special integral equation in
some inverse problems.Discreted by trapezium formula or parabola formula,
it can be formed into a special algebra equations,In this paper,the inversion
algorithm solving Marchenko equation is related and proved.Compared with
the Guass reduction,its numerical precision increases and its computational
and storage capacity decrease. |
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| Keywords: | Marchenko equation the Gauss reduction the inversion algorithm |
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