| 部分解已知条件下线代数方程反问题 |
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| 引用本文： | 刘小军,刘维倩.部分解已知条件下线代数方程反问题[J].山东师范大学学报(自然科学版),1994,9(1):1-5. |
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| 作者姓名： | 刘小军 刘维倩 |
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| 作者单位： | 山东师范大学数学系，山东大学数学系，南京工程兵学院 |
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| 摘 要： | 给出了在部分解已知条件下反求非齐项或系数的几种实用的解法．基于优化算法，提出了方便的梯度计算公式．讨论在反演不唯一时，应用正则化方法求解，并给出一个实际隧道工程中反问题的例子．
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| 关 键 词： | 部分解已知，反演，正则解，梯度公式 |
INVERSE PROBLEMS OF LINEAR ALGEBRAIC EQUATIONS AS PARTIAL SOLUTIONS KNOWN |
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| Liu Xiaojun,Liu Weiqian,Mu Yongke,Bian Fengsheng.INVERSE PROBLEMS OF LINEAR ALGEBRAIC EQUATIONS AS PARTIAL SOLUTIONS KNOWN[J].Journal of Shandong Normal University(Natural Science),1994,9(1):1-5. |
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| Authors: | Liu Xiaojun Liu Weiqian Mu Yongke Bian Fengsheng |
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| Institution: | Liu Xiaojun;Liu Weiqian;Mu Yongke;Bian Fengsheng |
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| Abstract: | This paper solve the inverse problems of linear algebraic equation as its Partial solutions is known.One is the invresion of its nonhomogeneous terms,and the author is the inversion of its coefficients containing some pa-rameters.The optimization method is applied and some convenient formulas for compution gradient are obtained.The reqularity method used as the solu-tion of inverse problem is not unique.As an application,a practical tunnel en-gineering problem is solved in the end. |
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| Keywords: | inverse problerns gradient formulas |
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