| 非线性模型能否线性化的实用判据 |
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| 引用本文： | 王新洲.非线性模型能否线性化的实用判据[J].武汉大学学报(信息科学版),1999(2). |
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| 作者姓名： | 王新洲 |
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| 作者单位： | 武汉测绘科技大学地学测量工程学院 |
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| 摘 要： | 定义了非线性模型的固有非线性性和参数效应非线性性，提出了一个新的实用判断准则。该准则具有计算简单、判断准确、结论惟一等优点。
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| 关 键 词： | 非线性模型 非线性强度 线性化 |
Practical Criterion of Nonlinear Model That Can or Cannot be linearized |
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| Wang Xinzhou.Practical Criterion of Nonlinear Model That Can or Cannot be linearized[J].Geomatics and Information Science of Wuhan University,1999(2). |
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| Authors: | Wang Xinzhou |
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| Abstract: | In geodesy many models are nonlinear ones. The classical method dealing with these nonlinear models is linear approximation using the approximate value of parameter. Due to the difference of nonlinearity between different nonlinear models, some nonlinear models can be linear approximation and the others can not be. To judge a nonlinear model can or cannot be linearized, reference has presented a criterion. Based on reference this paper defines interinsic nonlinearity and parameter effects nontinerarity of a nonlinear model at first. Then according to the definition a new practical criterion has been presented. The new practical criterion not only has the characteristic of the criterion in reference , but also overcomes the defect of the criterion in reference . Compared with the criterion in reference the new one has many new characteristics. |
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| Keywords: | nonlinear model nonlinearity linearized |
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