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PreprintCC BY-SA 4.0arXiv

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

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.

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BibTeX
@misc{yadav2026sufficient,
  title = {{A sufficient condition for the existence of solutions of singular linear-quadratic vector equations}},
  author = {Rishikesh Yadav and Axel Flinth},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2607.22256},
  eprint = {2607.22256},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.22256},
  note = {CC BY-SA 4.0},
}
RIS
TY  - UNPB
TI  - A sufficient condition for the existence of solutions of singular linear-quadratic vector equations
AU  - Rishikesh Yadav
AU  - Axel Flinth
PY  - 2026
DA  - 2026/09/16
PB  - arXiv
DO  - 10.48550/arxiv.2607.22256
UR  - https://arxiv.org/abs/2607.22256
AB  - 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.
ER  -