Vector space of linearizations for the quadratic two-parameter matrix polynomial

Details Vector space of linearizations for the quadratic two-parameter matrix polynomial Vector space of linearizations for the quadratic two-parameter matrix polynomial

2012-01-06

arxiv.org/abs/1201.1350v1

Mathematics

Numerical Analysis

15 pages

Scientific paper

Given a quadratic two-parameter matrix polynomial Q, we develop a systematic
approach to generating a vector space of linear two-parameter matrix
polynomials. We identify a set of linearizations of Q that lie in the vector
space. Finally, we determine a class of linearizations for a quadratic two-
parameter eigenvalue problem.

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