| 奇异值分解算法在舰船腐蚀相关电场建模中的应用 |
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| 引用本文： | 岳瑞永.奇异值分解算法在舰船腐蚀相关电场建模中的应用[J].舰船科学技术,2011,33(12). |
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| 作者姓名： | 岳瑞永 |
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| 作者单位： | 水下测控技术重点实验室,辽宁大连,116013 |
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| 基金项目： | 国防基础科研基金资助项目(A0820110019); 水下测控技术重点实验室基金资助项目(9140C2604050906) |
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| 摘 要： | 基于线性反演理论,讨论了舰船腐蚀相关电场电偶极子模型的稳定性问题,在此基础上将奇异值分解算法应用于建模,通过摒弃模型矩阵方程核矩阵的小奇异值,来改善核矩阵的病态程度,提高数据方程反演的稳定性。数值试验表明,当反演数据存在一定误差时,奇异值分解算法相对于最小二乘算法可以明显降低数据误差引起的模型参数扰动,有效地提高模型的稳定性。实船实测数据建模结果进一步验证了奇异值分解算法提高模型稳定性的有效性。
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| 关 键 词： | 奇异值分解 腐蚀相关电场 建模 |
Application of singular value decomposition(SVD)algorithm in the ship's corrosion related electric field modeling |
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| YUE Rui-yong.Application of singular value decomposition(SVD)algorithm in the ship's corrosion related electric field modeling[J].Ship Science and Technology,2011,33(12). |
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| Authors: | YUE Rui-yong |
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| Institution: | YUE Rui-yong(Science and Technology on Underwater Test and Control Laboratory,Dalian116013,China) |
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| Abstract: | In this paper,the stability of the ship's corrosion related electric field model of the electric dipole array is discussed.The SVD algorithm is applied to the solving process of the model matrix equation.The stability of the model can be increased by cutting off the little singular value of the kernel matrix.The numerical tests show that the turbulence of the model parameters originating from the measured data error can be reduced significantly by use of the SVD algorithm relative to the least-squares metho... |
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| Keywords: | singular value decomposition corrosion related electric field modeling |
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