基于计算机载体的数值性矩阵求解算法实现  

Implementation of Numerical Matrix Solving Algorithm Based on the Computer Carrier

作　　者：成树旗 CHENG Shuqi(Yuncheng Normal College,Yuncheng Shanxi 044000,China)

机构地区：[1]运城师范高等专科学校,山西运城044000

出　　处：《佳木斯大学学报(自然科学版)》2025年第1期32-35,共4页Journal of Jiamusi University:Natural Science Edition

摘　　要：以进一步实现基于计算机载体的数值性矩阵求解算法改进为目标,依据矩阵方程的相关特点,基于数值分析机理展开求解算法分析。考虑矩阵传递信息的动态性与静态性,采用迭代算法的收敛定理进行过程求解,并设计关于数值性矩阵的算例实验进行算法实现的准确高效性验证,结果表明:此求解算法的求解迭代次数稳定,迭代性能表现良好;基于计算机载体的求解所需CPU耗时短,求解效率高。本求解算法针对数值性矩阵的连续性以及真值的逼近性都具有显著优势,是数值分析领域的求解算法改进型应用研究成果,具有一定的应用推广与深度研究前景。With the goal of further improving the numerical matrix solving algorithm based on computer carriers,and based on the relevant characteristics of matrix equations,the numerical analysis mechanism was used to analyze the solving algorithm.Considering the dynamic and static nature of matrix transmission information,the convergence theorem of iterative algorithms was used for process solving,and an example experiment on numerical matrices was designed to verify the accuracy and efficiency of the algorithm implementation.The results showed that the solution iteration number of this algorithm was stable,and the iteration performance was good.The CPU time of solving based on computer carriers had short time consumption and high solving efficiency.This solution algorithm would have significant advantages in terms of the continuity of numerical matrices and the approximation of true values.It would be an improved application research achievement in the field of numerical analysis,and would have certain application promotion and deep research prospects.

关 键 词：矩阵求解 数值分析 迭代 收敛 真值 

分 类 号：O241[理学—计算数学]