摘要
本文简述了Gauss—Newton法、改进Gauss—Newtonl法、Marquardt法和改进Marquardt法的异同,着重讨论了不重复解线性方程组的改进Marquardt法及在催化反应动力学模型非线性参数估值方面的应用。文中举出的实例为一氧化碳变换反应幂函数型动力学模型的参数估值。文中还讨论了阻尼因子的选择问题,对Fletcher选择阻尼因子方法作了适当改造。计算实践表明,不重复解线性方程组的改进Marquardt法明显优于Marduardt法,有进一步推广应用的价值。
In this paper the similarities and differences among Gauss Newton, modified Gauss-Newton, Marquardt and modified Marquardt algorithms were introduced in brief, The modified Marquardt algorithm Without repeatedly solving linear equations and its application to the nonlinea restimates of catalytic rate equation Parameters were emphatically discussed, taking the Parameter estimates of the watzr-gas shift reaction eate equation for example. The seleeter-gas shift reaction rate equation for rxam Ple. The selection method of damping factors suggested in the Paper is alittle different from the Fletcher method, The calculation Practice has indicated that theemodified Marquardt algorithm without re Peatedly solving linear equations is su Perior to other nonlinear least square methods such as Gauss-Newton and Marquardt algorithms, and can bewidely used in the Paramteer estimation.
关键词
改进马夸特法
催化反应
动力学
Parameter estimation, Modified Marquardt algorithm, Catalytic kinetic model, Damping factor.
