Equivalences for linearizations of matrix polynomials

DOI10.1145/3452143.3465547MaRDI QIDQ6666525

R. M. Corless, Leili Rafiee Sevyeri, B. David Saunders

Publication date: 20 January 2025

zbMATH Keywords

equivalencelinearizationmatrix polynomialsHermite normal formSmith normal formpolynomial bases

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30)

Cites Work

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• Linearizations of matrix polynomials in Bernstein bases
• The Bernstein polynomial basis: a centennial retrospective
• On the numerical condition of polynomials in Bernstein form
• Local linearizations of rational matrices with application to rational approximations of nonlinear eigenvalue problems
• Numerical stability of barycentric Hermite root-finding
• Polynomial Eigenvalue Problems: Theory, Computation, and Structure
• Linearization of regular matrix polynomials
• Linearization of matrix polynomials expressed in polynomial bases
• The nonlinear eigenvalue problem
• Solving Polynomials with Small Leading Coefficients
• Barycentric Lagrange Interpolation
• On the optimal stability of the Bernstein basis

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