模型简化中的相对逼近误差拟合准则
The Relative Approximation Error Fitting Criterion of Model Reduction
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摘要: 本文引入相对逼近误差等槪念,分析现存的一些降阶算法,肯定了用FF-Padé法等可调参数法处理具有谐振峰系统的优越性,指出了FF-Padé法等可调参数法处理良好阻尼系 统的局限性,从而指出:对良好阻尼系统,应该用相对逼近误差拟合准则确定是否拟合,以及在需要时利用这一指标选取合理的拟合点。Abstract: This paper presents the concept of relative approximation error, etc.analyzes some existent reduction methods, affirms the advantages of treating resonant peak system with FF-Padé method, etc. and points out their restrictions on treating good damping system.Thus, for good darning system, the relative approximation error criterion should be used to determine whether it is fitting or not and to select the reasonable point of fitting in times of need.