共查询到10条相似文献,搜索用时 46 毫秒
1.
2.
3.
Elie Leopold 《Numerical Algorithms》2003,33(1-4):357-366
In this paper, we give some new relations between two families of polynomials defined by three-term recurrence relations. These relations allow us to study how some properties of a family of orthogonal polynomials are affected when the coefficients of the recurrence relation are perturbed. In the literature some methods are already available. However, most of them are only effective for small perturbations. In order to show the sharpness of our method, we compare it with Gronwall's classical method in the case of large perturbations. Using our tool, we also give a relation between the differential equation satisfied by a family of orthogonal polynomials and its perturbed family. Some explicit results are obtained for Chebyshev polynomials of the second kind. 相似文献
4.
The Levels-Recursive Algorithm for Vector Valued Interpolants by Triple Branched Continued Fractions
Shuo Tang Xuhui Wang 《高等学校计算数学学报(英文版)》2006,15(2):137-142
1 Introduction Let Πl,m,n be a set of points in three dimensional space R3, Πl,m,n = {(xi, yj, zk), i = 0, 1, · · · l; j = 0, 1, · · · m; k = 0, 1, · · · n}. Let a d?dimensional vector vi,j,k be given at every point (xi, yj, zk) ∈ Πl,m,n and 相似文献
5.
Khrystyna Kuchmins"ka 《Acta Appl Math》2000,61(1-3):175-183
By the method of majorant fractions and equivalent transformations, the analogies of leszyski–Pringsheim criteria for two-dimensional continued fractions are obtained. 相似文献
6.
一个二元矩阵插值连分式的展开式 总被引:2,自引:1,他引:1
本文借助于文[1]定义的一种实用的矩阵广义逆,构造了一个二元Stieltjes型矩阵值插值连分式的展开式,它的截断分式可以定义二元矩阵值插值函数. 相似文献
7.
A partition of the positive integers into sets A and B avoids a set S N if no two distinct elements in the same part have a sum in S. If the partition is unique, S is uniquely avoidable. For any irrational > 1, Chow and Long constructed a partition which avoids the numerators of all convergents of the continued fraction for , and conjectured that the set S which this partition avoids is uniquely avoidable. We prove that the set of numerators of convergents is uniquely avoidable if and only if the continued fraction for has infinitely many partial quotients equal to 1. We also construct the set S and show that it is always uniquely avoidable. 相似文献
8.
我们讨论了如下形式的向量值连分式这里bn=(bn1,bn2,…,bnd)满足Samelson逆,而且an,bn1,bn2,…,bnd均为正.给出了形如(#)的向量值连分式收敛的充分和必要条件,同时给出了收敛时的截断误差估计. 相似文献
9.
10.