Linear systems over rings of measurable functions and conjugate gradient methods

TL;DR

This paper investigates the conjugate gradient method for solving linear systems with measurable function coefficients, establishing its convergence rate in this context.

Contribution

It extends the analysis of the conjugate gradient method to systems with measurable function coefficients, providing convergence rate results.

Findings

Convergence rate of the conjugate gradient method over rings of measurable functions.

Theoretical framework for solving linear systems with measurable function coefficients.

Abstract

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