A NEW APPROACH TO SOLVE SYSTEMS OF LINEAR EQUATIONS

Luis Vazquez; Jose L. Vazquez-Poletti

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A NEW APPROACH TO SOLVE SYSTEMS OF LINEAR EQUATIONS

机译：求解线性方程组的新方法

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摘要

We propose a new iterative approach to solve systems of linear equations. The new strategy integrates the algebraic basis of the problem with elements from classical me- chanics and the finite difference method. The problem with elements from classical me- chanics and the finite difference method. The approach defines two families of convergent iterative methods. Each family is characterized by a linear differential equation, and every method is obtained from a suitable finite difference scheme to integrate the associated dif- ferential equation.

机译：我们提出了一种新的迭代方法来求解线性方程组。新策略将问题的代数基础与经典力学和有限差分法的元素相结合。经典力学和有限差分法的元素问题。该方法定义了两个系列的迭代迭代方法。每个族都有一个线性微分方程，每个方法都可以从一个合适的有限差分方案中获得，以积分相关的微分方程。

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来源
《Journal of Computational Mathematics》 |2001年第4期|p.445-448|共4页
作者
Luis Vazquez; Jose L. Vazquez-Poletti;
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正文语种 eng
中图分类计算数学;
关键词
Iterative method; Linear systems; Classical dynamics;

机译：迭代方法;线性系统;古典动力;

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A NEW APPROACH TO SOLVE SYSTEMS OF LINEAR EQUATIONS

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