English

Average-Case Perturbations and Smooth Condition Numbers

Numerical Analysis 2008-12-17 v2

Abstract

We define a new condition number adapted to directionally uniform perturbations. The definitions and theorems can be applied to a large class of problems. We show the relation with the classical condition number, and study some interesting examples.

Keywords

Cite

@article{arxiv.0812.2260,
  title  = {Average-Case Perturbations and Smooth Condition Numbers},
  author = {Diego Armentano},
  journal= {arXiv preprint arXiv:0812.2260},
  year   = {2008}
}
R2 v1 2026-06-21T11:51:06.732Z