The Calculation of J-Spectrum Factorization for the Full Rank Para-Hermite Polynomial Matrix
满秩仿Hermite多项式矩阵的J-谱分解计算

Using the para equivalent transform, we propose a method for calculating the J spectrum factorization for the full rank para Hermite polynomial matrix. For a full rank para Hermite polynomial matrix, we transform it into a uni module full rank para Hermite polynomial matrix by para equivalent transform at first, then into a full rank constant symmetric matrix, and into a J -matrix at last. Accumulating these transforms, we obtain the J -spectrum factorization. Based on the programming package for polynomial matrix developed by the authors, an algorithm which realizes the proposed method is given. The numerical example indicates this method is useful.