English

A New Operator and Method for Solving Interval Linear Equations

Numerical Analysis 2019-05-27 v1

Abstract

We deal with interval linear systems of equations. We present a new operator, which generalizes the interval Gauss-Seidel method. Also, based on the new operator and properties of the well-known methods, we propose a new algorithm, called the magnitude method. We illustrate by numerical examples that our approach overcomes some classical methods with respect to both time and sharpness of enclosures.

Keywords

Cite

@article{arxiv.1306.6739,
  title  = {A New Operator and Method for Solving Interval Linear Equations},
  author = {Milan Hladík},
  journal= {arXiv preprint arXiv:1306.6739},
  year   = {2019}
}
R2 v1 2026-06-22T00:42:05.600Z