A novel method based on the Tikhonov functional for non-negative solution of a system of linear equations with non-negative coefficients

TL;DR

This paper introduces a new method utilizing the Tikhonov functional to solve linear systems with non-negative solutions, offering improved accuracy and stability over existing algorithms.

Contribution

The paper presents a novel Tikhonov-based approach specifically designed for non-negative linear systems, enhancing solution stability and accuracy.

Findings

Better accuracy than existing algorithms

Enhanced stability in solutions

Effective for non-negative systems

Abstract

We propose a novel method for a solution of a system of linear equations with the non-negativity condition. The method is based on the Tikhonov functional and has better accuracy and stability than other well-known algorithms.