在多项式型变换下具有不变性的算法 |
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引用本文: | 邓乃扬,陈志.在多项式型变换下具有不变性的算法[J].北京工业大学学报,1984(4). |
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作者姓名: | 邓乃扬 陈志 |
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作者单位: | 北京工业大学应用数学系
(邓乃扬),北京工业大学应用数学系(陈志) |
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摘 要: | 本文讨论根据较一般的目标函数模型(3)建立具有非线性尺度不变性的算法的理论依据。文献2]研究了F(q)是二次函数的情形,我们可以把它看做是用q的二次函数逼近一般的F(q)。本文研究逼近F(q)的一般问题,对于用高阶多项式逼近和用低阶多项式分段逼近的两种策略,分别导出了计算ρ_K的解析表达式,并建立了相应的算法
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On the Algorithms Invariant to Polynomial-Type Scaling |
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Abstract: | This paper discusses the algorithms invariant to nonlinear scaling for more general objective function model( 3 ). The case of algorithms was studied in 2 ] when F(q) is a quadratic function. Here we study a more general problem - approximation F(q) with high-order polynomial and with piecewise low-order polynomial. The analytic formulas of pK for both cases are derived and the corresponding algorithms are established |
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