| 矩阵多项式的综合除法及其应用 |
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| 引用本文： | 谢泽嘉.矩阵多项式的综合除法及其应用[J].汕头大学学报(自然科学版),2010,25(2):16-22,26. |
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| 作者姓名： | 谢泽嘉 |
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| 作者单位： | 华南师范大学数学科学学院,广东,广州,510631 |
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| 基金项目： | 致谢：对汪立民教授的帮助谨致感谢. |
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| 摘 要： | 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.
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| 关 键 词： | 无穷维Hamilton系统 带余除法 综合除法 矩阵多项式 偏微分方程组通解 |
Synthetic Division of Matrix Polynomial and Its Application |
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| XIE Ze-jia.Synthetic Division of Matrix Polynomial and Its Application[J].Journal of Shantou University(Natural Science Edition),2010,25(2):16-22,26. |
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| Authors: | XIE Ze-jia |
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| Institution: | XIE Ze-jia(School of Mathematical Sciences,South China Normal University,Guangzhou 510631,Guangdong,China) |
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| Abstract: | 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. |
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| Keywords: | infinite dimensional Hamiltonian system division with remainder synthetic division matrix polynomial general solutions of partial differential equations |
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