Linearizations of Quadratic Two-parameter Matrix Polynomial Via Newton basis

Q: What type of study is this?

This is a Quantitative Study study.

Avisek Bist; Namita Behera

doi:10.48550/arxiv.2509.10470

August 25, 2025Open Access

Linearizations of Quadratic Two-parameter Matrix Polynomial Via Newton basis

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Key Points

Linearizations of quadratic two-parameter matrix polynomials were constructed, offering new representation approaches.
A vector space of linear two-parameter matrix polynomials was identified, allowing for efficient linearization processes.
These linearizations were described through systematic construction methods based on the properties of the Newton basis.
This approach may enhance computational techniques in matrix analysis and polynomial representations.

Implication

This research constructs linearizations of quadratic two-parameter matrix polynomials, suggesting novel methods for their representation in vector spaces.

Abstract

Given a quadratic two-parameter matrix polynomial in Newton basis QN (λ,μ), 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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Cite This Study

Bist et al. (2025) studied this question.

synapsesocial.com/papers/68ed1896f29694dd1da78c1f https://doi.org/10.48550/arxiv.2509.10470

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Linearizations of Quadratic Two-parameter Matrix Polynomial Via Newton basis

Key Points

Implication

Abstract

Discussion

Cite This Study

Linearizations of Quadratic Two-parameter Matrix Polynomial Via Newton basis

Key Points

Implication

Abstract

Discussion

Cite This Study

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