向量值Padé-型逼近的递推算法在求解线性方程组上的应用

Application of recursive algorithm of vector valued Padé-type approximation in solving linear equations

借助正交多项式,构造了向量值Padé-型逼近的一种有效的三项递推公式,并利用该公式得到了求解高阶线性方程组的一个有用的算法.对该算法的收敛速度和控制迭代步骤进行了讨论,最后用数值例子加以说明.

Using orthogonal polynomials, an effective three-term recurrence formula for the vector valued Pade-type approximation is constructed, and an algorithm for solving higher order linear equations is obtained. The convergence rate of the algorithm and the control iterative procedure are discussed. Finally, a numerical example is given to show the performance of the proposed method.