TITLE:
A Geometric Gaussian Kaczmarz Method for Large Scaled Consistent Linear Equations
AUTHORS:
Li Wen, Feng Yin, Yimou Liao, Guangxin Huang
KEYWORDS:
Gaussian Kaczmarz, Convergence Rate, Linear Systems, Consistent
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.9 No.11,
November
26,
2021
ABSTRACT: This paper presents a geometric Gaussian Kaczmarz (GGK) method for solving the large-scaled consistent linear systems of equation. The GGK method improves the geometric probability randomized Kaczmarz method in [1] by introducing a new block set strategy and the iteration process. The GGK is proved to be of linear convergence. Several numerical examples show the efficiency and effectiveness of the GGK method.