Pseudo-Division Algorithm for Matrix Multivariable Polynomial and Its Application

Alatancang; Zhang Hongqing; Zhong Wanxie

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Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(7): 661-668

Alatancang, Zhang Hongqing, Zhong Wanxie. Pseudo-Division Algorithm for Matrix Multivariable Polynomial and Its Application[J]. Applied Mathematics and Mechanics, 2000, 21(7): 661-668.

Citation:

Alatancang, Zhang Hongqing, Zhong Wanxie. Pseudo-Division Algorithm for Matrix Multivariable Polynomial and Its Application[J]. Applied Mathematics and Mechanics, 2000, 21(7): 661-668.

Citation:

Alatancang, Zhang Hongqing, Zhong Wanxie. Pseudo-Division Algorithm for Matrix Multivariable Polynomial and Its Application[J]. Applied Mathematics and Mechanics, 2000, 21(7): 661-668.

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Pseudo-Division Algorithm for Matrix Multivariable Polynomial and Its Application

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

Received Date: 1999-01-21
Rev Recd Date: 2000-03-20
Publish Date: 2000-07-15

Abstract

Abstract

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 Hamiltonian system andits 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 equationsis got, which several examples show very effective.
- matrix multivarible polynomial,
- infinite dimensional Hamiltonian system,
- Wu’smethod,
- general solution

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References(11)

References

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