English

Direct Solution Method for System of Linear Equations

Numerical Analysis 2011-05-02 v1

Abstract

Direct solution of simultaneous linear equations is regarded to be slow for large systems of equations and requires special treatment to avoid numerical instability. A new method is proposed that addresses the numerical instability without any special treatments. The method uses the orthogonal matrices to achieve numerical stability.

Keywords

Cite

@article{arxiv.1104.5639,
  title  = {Direct Solution Method for System of Linear Equations},
  author = {Anoosh Abdy},
  journal= {arXiv preprint arXiv:1104.5639},
  year   = {2011}
}

Comments

5 pages, C++ and Python code available

R2 v1 2026-06-21T18:00:26.576Z