In the production of float glass processes, changes or fluctuations in the composition of the material side have a significant impact on the quality of the finished glass. By analyzing the data structure of raw materials and compounds contained in raw materials, determining the amount of various raw materials, getting the optimal material side closest to the target material side, the application in the field of float glass material calculation is particularly important and necessary. Through the analysis, it is found that the raw materials and the compounds and target materials contained in the raw materials can be expressed by the coefficient matrix and constant term series vectors of the non-homogeneous linear equation system, respectively, so that the calculation of the amount of each raw material in the optimal material square can be converted into a problem solved by the non-homogeneous linear equation system. It is concluded that when there is a solution to the non-homogeneous linear equation system, the optimal material square can be solved by the non-homogeneous linear equation system. In the case where there is no solution but there is an optimal solution, the optimal material square can be solved by combining a system of non-homogeneous linear equations and the least squares method. This calculation scheme can be widely used in float glass side calculation, which can not only maintain or improve the accuracy of the material side calculation results, but also improve the work efficiency of raw material engineers in calculating the material side, thereby generating actual economic benefits.
non-homogeneous linear equationsfloat glassraw material sideapplied mathematics