PSEUDO-DIVISION ALGORITHM FOR MATRIX MULTIVARIABLE POLYNOMIAL AND ITS APPLICATION

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (7): 733-740.

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PSEUDO-DIVISION ALGORITHM FOR MATRIX MULTIVARIABLE POLYNOMIAL AND ITS APPLICATION

阿拉坦仓¹, 张鸿庆², 钟万勰²

1. Inner Mongolia University, Hohhot 010021, P. R. China;
2. Dalian University of Technology, Dalian 116023, P. R. China

收稿日期:1999-01-21 修回日期:2000-03-20 出版日期:2000-07-18 发布日期:2000-07-18
基金资助:
the National Natural Science Foundation of China(19702007),Nei Menggu Natural Science Foundation(971301-1)

PSEUDO-DIVISION ALGORITHM FOR MATRIX MULTIVARIABLE POLYNOMIAL AND ITS APPLICATION

Alatancang¹, Zhang Hongqing², Zhong Wanxie ²

1. Inner Mongolia University, Hohhot 010021, P. R. China;
2. Dalian University of Technology, Dalian 116023, P. R. China

Received:1999-01-21 Revised:2000-03-20 Online:2000-07-18 Published:2000-07-18
Supported by:
the National Natural Science Foundation of China(19702007),Nei Menggu Natural Science Foundation(971301-1)

摘要/Abstract

摘要： Pseudo-division algorithm for matrix multivariable polynomial are given, thereby with the view of differential algebra, the sufficient and necessary conditions for transforming a class of partial differential equations into infinite dimensional Hamiltonianian system and its concrete form are obtained. Then by combining this method with Wu’s method, a new method of constructing general solution of a class of mechanical equations is got, which several examples show very effective.

中图分类号:

O175.25

阿拉坦仓;张鸿庆;钟万勰. PSEUDO-DIVISION ALGORITHM FOR MATRIX MULTIVARIABLE POLYNOMIAL AND ITS APPLICATION[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(7): 733-740.

Alatancang;Zhang Hongqing;Zhong Wanxie . PSEUDO-DIVISION ALGORITHM FOR MATRIX MULTIVARIABLE POLYNOMIAL AND ITS APPLICATION[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(7): 733-740.

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PSEUDO-DIVISION ALGORITHM FOR MATRIX MULTIVARIABLE POLYNOMIAL AND ITS APPLICATION

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