机械工程上无论在设计、制造、运行、试验、测量等过程中,经常要处理许多变量和变量之间的关系,这些变量间常存在着线性关系,而某些非线性关系的问题,在一定条件下也可以用线性关系近似表示,因而许多问题就涉及求解线性方程组。例如描述液压或机械系统运动微分方程组的求解,各种机械部件强度设计或应力求解,汽轮机、柴油机气缸等部件用有限元素法求解温度场等等. Mechanical engineering, whether in the design, manufacture, operation, testing, measurement and other processes, often dealing with many variables and variables between the relationship between these variables often exist linear relationship, and some non-linear relationship problems, certain Under the conditions can also be approximated by a linear relationship, and thus many problems involve solving linear equations. For example, to describe the solution of differential equations of motion of hydraulic or mechanical system, the strength design or stress solution of various mechanical parts, the finite element method of steam turbine and diesel engine cylinder to solve the temperature field and so on.