用强伪压缩映像不动点方法求解线性方程组

The Application of Strong Pseudocontractive Mapping Fixed Point Theorem To Study the System of Linear Equations

线性方程组理论是研究物资管理及其企业管理数量化的基本数学方法,线性方程组的研究包括解的存在性和计算方法两个方面.应用非线性泛函分析理论中非线性算子来研究线性方程组解的存在性和计算方法,而强伪压缩映像是一重要的非线性算子.应用强伪压缩映像的不动点方法研究线性方程组解的存在性和迭代计算方法,得到了相应的解的存在性定理和解的有效迭代计算方法.

The theory of linear equations is the basic mathematic methods to study materials management and business management of quantitative research,including the two aspects o f existence of solutions and calculation methods. The application of the theory of nonlinear functional analysis is to study the existence of nonlinear operator and computational methods and strong pseudo image compression is an important nonlinear operator. The research on the existence of linear equations and iterative computation methods by using the fixed point method of strong pseudo-image compression results in the existence theorem of the corresponding solution and the effective method of iterative computation.