论文标题
高阶复发关系，Sobolev型内部产品和基质因素化
Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations
论文作者
论文摘要
众所周知，Sobolev型正交多项式相对于实际线上支持的度量满足了高阶复发关系，并且可以表示为（2n+1）符号对称的半偶然矩阵。在本文中，我们指出了这些（2n+1）框矩阵与与两次复发关系相关的三届复发关系相关的jacobi矩阵之间的联系，而正交多项式的标准序列与该度量的2次题的基督教转换有关。
It is well known that Sobolev-type orthogonal polynomials with respect to measures supported on the real line satisfy higher-order recurrence relations and these can be expressed as a (2N+1)-banded symmetric semi-infinite matrix. In this paper we state the connection between these (2N+1)-banded matrices and the Jacobi matrices associated with the three-term recurrence relation satisfied by the standard sequence of orthonormal polynomials with respect to the 2-iterated Christoffel transformation of the measure.
