随机变量的共轭梯度方法

许铭修, 黎景辉

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

数学季刊 >

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

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

随机变量的共轭梯度方法

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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.

收稿日期: 2021-03-10

网络出版日期: 2021-04-13

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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

Received date: 2021-03-10

Online published: 2021-04-13

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摘要

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.

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

本文引用格式

许铭修, 黎景辉 . 随机变量的共轭梯度方法[J]. 数学季刊, 2021 , 36(2) : 111 -121 . DOI: 10.13371/j.cnki.chin.q.j.m.2021.02.001

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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