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本文叙述了一个解趋势分析线性代数方程组的直接解法,方法的实质是用Householder变换直接分解系数矩阵A(而不是去解正规方程组)。这对于趋势面次数较高和条件数较大的情况,可以增加解的稳定性和减轻趋势面的畸变。本文最后通过实例说明了本方法的优点。
In this paper, we describe a direct solution to linear algebraic equations for trend analysis. The essence of the method is to directly decompose the coefficient matrix A by Householder transformation (rather than to solve normal equations). This may increase the stability of the solution and reduce the distortion of the trend surface when the number of trend surfaces is high and the number of conditions is large. Finally, this article illustrates the advantages of the method by an example.