Vector space of linearizations for the quadratic two-parameter matrix polynomial
Bibhas Adhikari · Linear and Multilinear Algebra · 2012
Given a quadratic two-parameter matrix polynomial Q(λ, μ), we develop a systematic approach to generating a vector space of linear two-parameter matrix polynomials. The purpose for constructing this vector space is that potential linearizations of Q(λ, μ) lie in it. Then, we identify a set of linearizations and describe their constructions. Finally, we determine a class of linearizations for a quadratic two-parameter eigenvalue problem.