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求解绝对值方程的不精确修正不动点迭代法

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绝对值方程在求解线性规划、线性互补问题、双矩阵对策等问题时有着重要的意义和应用价值,本文主要研究绝对值方程的数值求解方法,为了提高计算效率,在修正的不动点迭代法的基础上,提出了一种不精确的修正不动点迭代法.在特定条件下,证明了该方法的收敛性.最后,通过数值例子验证了该方法的有效性和可行性.
An Inexactly Modified Fixed Point Iteration Method for Solving Absolute Value Equations
Absolute value equation is of great significance and application value in solving linear program-ming,linear complementarity problems,double matrix games,etc.This paper mainly studies the numerical so-lution of absolute value equation.In order to improve the computational efficiency,an inexactly modified fixed point iteration method is proposed on the basis of the modified fixed point iteration method.Under certain conditions,the convergence of this method is proved.Finally,a numerical example is given to verify the ef-fectiveness and feasibility of the proposed method.

absolute value equationmodified fixed point iteration methodconvergence

肖欣睿

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西北师范大学数学与统计学院,甘肃兰州

绝对值方程 修正不动点迭代法 收敛性

2024

科学技术创新
黑龙江省科普事业中心

科学技术创新

影响因子:0.842
ISSN:1673-1328
年,卷(期):2024.(24)