论文标题

一种通用投影迭代方法,用于求解非单明线性系统

A generalized projection iterative methods for solving non-singular linear systems

论文作者

Mustafa, Ashif, Saha, Manideepa

论文摘要

在本文中,我们提出和分析基于投影技术的迭代方法,以求解非单个线性系统AX = b。特别是,对于给定的正整数M,用于对称定义矩阵A的M维连续投影方法(MD-SPM)被推广到非秒矩阵A中。进行数值实验以证明与科学文献中其他方案相比,提出的方法的优越性。

In this paper, we propose and analyze iterative method based on projection techniques to solve a non-singular linear system Ax = b. In particular, for a given positive integer m, m-dimensional successive projection method (mD-SPM) for symmetric definite matrix A, is generalized for non-singular matrix A. Moreover, it is proved that mD-SPM gives better result for large values of m. Numerical experiments are carried out to demonstrate the superiority of the proposed method in comparison with other schemes in the scientific literature.

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