| 实心球的密度反求问题 |
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| 引用本文： | 罗兴钧,徐红红. 实心球的密度反求问题[J]. 赣南师范学院学报, 2008, 29(6): 5-10 |
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| 作者姓名： | 罗兴钧 徐红红 |
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| 作者单位： | 赣南师范学院,数学与计算机科学学院,江西,赣州,341000 |
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| 摘 要： | 基于对陀螺简化为圆盘时密度反求问题的研究，本文进一步讨论实心球的相关问题，即已知有限个“粗略”测量信息下，如质量、惯性矩阵、利用带约束的最小化问题的拉格朗日乘子法来反求实心球的密度函数问题．
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| 关 键 词： | 质量 惯性矩阵 拉格朗日乘子法 密度反问题 |
Density Inverse Problem of Real Sphere |
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| LUO Xing-jun,XU Hong-hong. Density Inverse Problem of Real Sphere[J]. Journal of Gannan Teachers' College(Social Science(2)), 2008, 29(6): 5-10 |
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| Authors: | LUO Xing-jun XU Hong-hong |
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| Affiliation: | LUO Xing-jun,XU Hong-hong(School of Mathematics , Computer Science,Gannan Normal University,Ganzhou 341000,China) |
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| Abstract: | Based on the given research of peg-top's density inverse problem when peg-top is predigested disc,we make a deep discussion of real sphere.If numerable informations have been given,such as mass and Inertia matrix,the Lagrange multiplier in the minimal method with conditions is applied to deal with the density of real sphere. |
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| Keywords: | mass Inertia matrix Lagrange multiplier density inverse problem |
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