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Linearizations of Quadratic Two-parameter Matrix Polynomial Via Newton basis

General Mathematics 2025-09-16 v1

Abstract

Given a quadratic two-parameter matrix polynomial in Newton basis QN(λ,μ)Q_{N} (\lambda ,\mu), we construct a vector space of linear two-parameter matrix polynomials and identify a set of linearizations which lie in the vector space. We also describe construction of each of these linearizations.

Keywords

Cite

@article{arxiv.2509.10470,
  title  = {Linearizations of Quadratic Two-parameter Matrix Polynomial Via Newton basis},
  author = {Avisek Bist and Namita Behera},
  journal= {arXiv preprint arXiv:2509.10470},
  year   = {2025}
}

Comments

16 pages

R2 v1 2026-07-01T05:33:54.995Z