English

Universal numerical algorithms and their software implementation

Numerical Analysis 2025-10-20 v1 Numerical Analysis

Abstract

The concept of a universal algorithm is discussed. Examples of this kind of algorithms are presented. Software implementations of such algorithms in C++ type languages are discussed together with means that provide for computations with an arbitrary accuracy. Particular emphasis is placed on universal algorithms of linear algebra over semirings.

Keywords

Cite

@article{arxiv.math/0102114,
  title  = {Universal numerical algorithms and their software implementation},
  author = {Grigori Litvinov and Elena Maslova},
  journal= {arXiv preprint arXiv:math/0102114},
  year   = {2025}
}

Comments

16 pages, no figures