一种系数可选择的矩阵Padé逼近

A Matrix-Padé Approximation with Chosen Coefficients

通过Lagrange多项式的迭代公式,该文引入了内积空间中的一类Lagrange型的矩阵值有理插值.当所有的插值结点都趋于零时,导出了系数可选择的矩阵Padé逼近,其中的系数可用非常有效的最小二乘法求得.对矩阵Padé逼近的误差进行了分析,并给出了计算公式.

In terms of the recursive relation in the Lagrange polynomial form, a method of Lagrange-type matrix rational interpolation is presented in the inner approach zero, a matrix Padé approximation with chosen product space. When all interpolation points coefficients is constructed, whose coefficients can be obtained by the least square method. An error formula of the matrix Padé approximation is given.