Linearizations of Quadratic Two-parameter Matrix Polynomial Via Newton basis

2025/08/25 by Avisek Bist, Bist, Avisek, Namita Behera +1
Computer Science · #Matrix Theory and Algorithms

paper · pdf · doi:10.48550/arxiv.2509.10470

Abstract

Given a quadratic two-parameter matrix polynomial in Newton basis Q_N (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.

Citations

• On vector spaces of linearizations for matrix polynomials in orthogonal bases

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