English

A note on non-inclusion "interval" root solvers

Numerical Analysis 2018-03-14 v1

Abstract

In this note we give comments on recent interval extensions of the King-Ostrowski multipoint methods for solving nonlinear equations published in at least five scientific journals offering faulty "self-validated" methods. We show that they do not possess essential feature of genuine interval methods -- inclusion property.

Cite

@article{arxiv.1803.04524,
  title  = {A note on non-inclusion "interval" root solvers},
  author = {Miodrag S. Petković and Ljiljana D. Petković},
  journal= {arXiv preprint arXiv:1803.04524},
  year   = {2018}
}

Comments

8 pages, 2 color figures, not presented anywhere

R2 v1 2026-06-23T00:50:41.871Z