首页> 外文OA文献 >The performance of available methods for computing the polynomial coefficients of the quadratic function approximation is evaluated. By comparing the numerical results to those obtained by symbolic methods, for a variety of functions, the direct solution of the matrix equation and a variety of recursive algorithms are all shown to be numerically unstable. AMS classification
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The performance of available methods for computing the polynomial coefficients of the quadratic function approximation is evaluated. By comparing the numerical results to those obtained by symbolic methods, for a variety of functions, the direct solution of the matrix equation and a variety of recursive algorithms are all shown to be numerically unstable. AMS classification

机译:评估了用于计算二次函数逼近的多项式系数的可用方法的性能。通过将数值结果与通过符号方法获得的数值结果进行比较,对于多种函数,矩阵方程的直接解法和多种递归算法均显示出数值上的不稳定。 AMS分类

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摘要

The performance of available methods for computing the polynomial coefficients of the quadratic function approximation is evaluated. By comparing the numerical results to those obtained by symbolic methods, for a variety of functions, the direct solution of the matrix equation and a variety of recursive algorithms are all shown to be numerically unstable.
机译:评估了用于计算二次函数逼近的多项式系数的可用方法的性能。通过将数值结果与通过符号方法获得的数值结果进行比较,对于多种函数,矩阵方程的直接解法和多种递归算法均显示出数值上的不稳定。

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