Pseudo-division algorithm for matrix multivariable polynomial and its application
type: Item
instance of: scholarly article
title: Pseudo-division algorithm for matrix multivariable polynomial and its application
zbMATH Open document ID: 0959.15030
DOI: 10.1007/BF02428369
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2000-11-21T00:00:00Z
review text: After extending the pseudo-division algorithm for multivariable polynomial to matrix multivariable polynomial, one obtains necessary and sufficient condition for transforming a class of partial differential equations into an infinite-dimensional Hamiltonian system and its concrete form. Combining this procedure with a method of \textit{Wu Wenyu} [Mechanical geometry theorem proving. Progress in Nat. Sci. 1, 1-14 (1992; in Chinese)] a new method of constructing general solution of a class of mechanical equations is derived. Four examples illustrate the effectiveness of the results.
reviewed by: Mihail Voicu
Mathematics Subject Classification ID: 15A54
Mathematics Subject Classification ID: 37K05
zbMATH DE Number: 1513408
zbMATH Keywords: multivariable polynomial matrix
zbMATH Keywords: pseudo-division algorithm
zbMATH Keywords: infinite-dimensional Hamiltonian system
zbMATH Keywords: mechanical equations
author: Alatancang
author: Hong-Qing Zhang
author: Wan-xie Zhong
MaRDI profile type: Publication
cites work: Improved exponential discretization method for convection-diffusion equation
cites work: Q4185862
cites work: Q3715336
cites work: Q5683765
cites work: The Hamiltonian system and completeness of symplectic orthogonal system
full work available at URL: https://doi.org/10.1007/bf02428369
OpenAlex ID: W2079888029
description: scientific article; zbMATH DE number 1513408