The Conjugate Gradient Method in Random Variables

HSU Ming-hsiu, LAI King-fai

doi:10.13371/j.cnki.chin.q.j.m.2021.02.001

Chinese Quarterly Journal of Mathematics >

2021 , Vol. 36 >Issue 2: 111 - 121

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2021.02.001

The Conjugate Gradient Method in Random Variables

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1. College of Mathematics and Physics, Wenzhou University, Wenzhou 325035, China; 2. School of
Mathematics and Statistics, Henan University, Kaifeng 475004, China

HSU Ming-hsiu (1981-), male, native of Taiwan, assistant professor of Wenzhou University, engages in functional analysis; LAI King-fai (1948-), male, native of Zhongshan, Guangdong, distinguished professor of Henan University, engages in number theory and applied mathematics. Corresponding author: LAI King-fai.

Received date: 2021-03-10

Online published: 2021-04-13

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Abstract

We study the conjugate gradient method for solving a system of linear
equations with coefficients which are measurable functions and establish the rate of
convergence of this method.

Key words： Riesz algebra; Matrices; Measurable functions; Ordered structures; Conjugate
gradient methods; Computational methods in function algebras

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HSU Ming-hsiu, LAI King-fai . The Conjugate Gradient Method in Random Variables[J]. Chinese Quarterly Journal of Mathematics, 2021 , 36(2) : 111 -121 . DOI: 10.13371/j.cnki.chin.q.j.m.2021.02.001

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