利用$[0,\infty)$ -Stieltjes变换序列研究预解矩阵、Dyukarev-Stieltjes参数和正交矩阵多项式
On resolvent matrix, Dyukarev-Stieltjes parameters and orthogonal matrix polynomials via $[0,\infty)$-Stieltjes transformed sequences
摘要：
利用Schur变换序列和Dyukarev-Stieltjes参数，得到了截断矩阵Stieltjes矩问题的预解矩阵的一种新表示.得到了由连续Schur变换序列构造的正交矩阵多项式与第二类矩阵多项式之间的显式关系。此外，还找到了第二类矩阵多项式为正交矩阵多项式的非负Hermite测度。
英文摘要：
By using Schur transformed sequences and Dyukarev-Stieltjes parameters we obtain a new representation of the resolvent matrix corresponding to the truncated matricial Stieltjes moment problem. Explicit relations between orthogonal matrix polynomials and matrix polynomials of the second kind constructed from consecutive Schur transformed sequences are obtained. Additionally, a non-negative Hermitian measure for which the matrix polynomials of the second kind are the orthogonal matrix polynomials is found.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
