A necessary condition for the existence of solutions of singular linear-quadratic vector equations

Rishikesh Yadav; Axel Flinth

A necessary condition for the existence of solutions of singular linear-quadratic vector equations

Numerical Analysis 2026-07-24 v1

Authors: Rishikesh Yadav , Axel Flinth

Abstract

We study the existence of solutions for systems of linear-quadratic vector equations with singular linear parts. We derive a sufficient condition for small right hand sides.

Keywords

singular vector equations linear-quadratic equations existence of solutions sufficient condition

Cite

@article{arxiv.2607.22256,
  title  = {A necessary condition for the existence of solutions of singular linear-quadratic vector equations},
  author = {Rishikesh Yadav and Axel Flinth},
  journal= {arXiv preprint arXiv:2607.22256},
  year   = {2026}
}