Abstract

An iterative method is developed for solving the solution of the general restricted linear equation. The convergence, stability, and error estimate are given. Numerical experiments are presented to demonstrate the efficiency and accuracy.

Highlights

  • An iterative method is developed for solving the solution of the general restricted linear equation

  • The restricted linear equation is widely applied in many practical problems [2]

  • The Cramer rule method is given in [2] and this method is developed for computing the unique solution of restricted matrix equations

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Summary

Introduction

The Cramer rule method is given in [2] and this method is developed for computing the unique solution of restricted matrix equations. In [4], a new iterative method is developed and its convergence analysis is considered. The result on condensed Cramer’s rule is given for solving the general solution to the restricted quaternion matrix equation in [9]. The non-stationary Richardson iterative method is given for solving the general restricted linear equation (1) in [4]. We develop a high order iterative method to solve the problem (1).

Preliminaries and Iterative Scheme
Convergence Analysis
Numerical Examples
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