矩阵多项式的综合除法及其应用

Synthetic Division of Matrix Polynomial and Its Application

给出矩阵多项式的综合除法,利用微分代数的观点,将其应用于一类常系数偏微分方程化为无穷维Hamilton系统的问题中.再结合标准型算法,将其应用于构造一类偏微分方程组通解的问题中.

The synthetic division of matrix polynomial is given and will,on the basis of differential algebra,be applied in the problem solutions pertaining to the transformation from constant coefficient partial differential equotion to the infinite dimensional Hamiltonian system.In addition,combined with the standard form algorithm,the synthetic division of matrix polynomial also finds application in constructing general solutions for a class of partial differential equations.