Vector space of linearizations for the quadratic two-parameter matrix polynomial |
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Authors: | Bibhas Adhikari |
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Affiliation: | 1. Centre of Excellence in Systems Science , Indian Institute of Technology Rajasthan , Jodhpur , Rajasthan , India bibhas@iitj.ac.in |
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Abstract: | 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. |
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Keywords: | matrix polynomial two-parameter matrix polynomial quadratic two-parameter eigenvalue problem two-parameter eigenvalue problem linearization |
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