【摘要】 本文给出了一类特殊的对称三对角矩阵特征多项式的递推公式及其特征多项式序列中各多项式系数之间的递推关系式。证明了该序列的正交性以及此类三对角矩阵特征多项式的整除性质。更多还原

【Abstract】 In this article, We have given a recurrence formula on a class of eigenpolynomials of symmetry three diagnomal matrixes, and a recurrence relation of each polynomial cofficient in the eigenpolyomial sequence. In the meantime, this sequence is orthogonal and a series of the divisible properties of the three diagonal matrkes are proved.更多还原