【摘 要】
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大型稀疏代数方程组是稳态过程模拟与过程设计数学模型的典型形式.与联立求解法相比,迭代求解的长处在于可解算包括非线性在内的方程,而且即使中途停顿也会得到解算过程的信
【机 构】
：
天津大学化学工程研究所,天津大学化学工程研究所,天津大学化学工程研究所 天津,天津,天津
论文部分内容阅读
大型稀疏代数方程组是稳态过程模拟与过程设计数学模型的典型形式.与联立求解法相比,迭代求解的长处在于可解算包括非线性在内的方程,而且即使中途停顿也会得到解算过程的信息.此外,占内存少,计算时间短.在迭代之前,须预先确定设计变量(如果变量数多于方程数)、迭代变量、输出集和迭代次序.本文提出一种将给定方程组的关联矩阵重新排序的简便方法,根据重排后的关联矩阵优先决定迭代变量,然后决定输出集和设计变量.这种方法可以确保可行迭代顺序的产生,也比现有的方法简便.
Large-scale sparse algebraic equations are typical forms of steady-state process and mathematical models of process design.Compared with simultaneous solutions, the advantages of iterative solutions are that they can solve equations including nonlinearities and get solutions even when stopped In addition, accounting for less memory and shorter computation time, the design variables (if the number of variables is more than the number of equations), the iteration variables, the output set and the iteration order must be determined before iteration.In this paper, This method can ensure the generation of feasible iterative order and is also simpler than the existing methods. The method of reordering the correlation matrix of equations is based on the rearranged correlation matrix, and then determines the output set and design variables.
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