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通过建立摩擦片磨损量的数学模型,引出了随机系数线性方程组的求解问题。通过分析其解的统计分布,给出了一个相关定理,阐明了解的分布为对称分布,且其负分量出现的概率大于零。利用优化思想,给出了在信赖域法下求数值化正解的近似解的算例。
By establishing a mathematical model of wear amount of friction plates, the problem of solving linear equations with random coefficients is introduced. By analyzing the statistical distribution of the solution, a related theorem is given, which shows that the distribution of the solution is symmetric and the probability of its negative component is greater than zero. Using the idea of optimization, an example of finding approximate solutions of numerical positive solutions under trust region method is given.