Linearizations of Quadratic Two-parameter Matrix Polynomial Via Newton basis

Avisek Bist; Namita Behera

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arXiv · 2509.10470

Linearizations of Quadratic Two-parameter Matrix Polynomial Via Newton basis

Avisek Bist·Namita Behera

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Abstract

Given a quadratic two-parameter matrix polynomial in Newton basis $Q_{N} (\lambda ,\mu)$, 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.

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Avisek Bist, Namita Behera. 2025-08-25. Linearizations of Quadratic Two-parameter Matrix Polynomial Via Newton basis. https://arxiv.org/abs/2509.10470

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