English

A New Cyclic Gradient Method Adapted to Large-Scale Linear Systems

Numerical Analysis 2019-07-12 v1 Numerical Analysis

Abstract

This paper proposes a new gradient method to solve the large-scale problems. Theoretical analysis shows that the new method has finite termination property for two dimensions and converges R-linearly for any dimensions. Experimental results illustrate first the issue of parallel implementation. Then, the solution of a large-scale problem shows that the new method is better than the others, even competitive with the conjugate gradient method.

Keywords

Cite

@article{arxiv.1907.01200,
  title  = {A New Cyclic Gradient Method Adapted to Large-Scale Linear Systems},
  author = {Qinmeng Zou and Frederic Magoules},
  journal= {arXiv preprint arXiv:1907.01200},
  year   = {2019}
}
R2 v1 2026-06-23T10:09:37.057Z