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

作     者：Adhikari, Bibhas 

作者机构：Indian Inst Technol Rajasthan Ctr Excellence Syst Sci Jodhpur Rajasthan India 

出 版 物：《LINEAR & MULTILINEAR ALGEBRA》 (线性与多重线性代数)

年 卷 期：2013年第61卷第5期

页      面：603-616页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：matrix polynomial two-parameter matrix polynomial quadratic two-parameter eigenvalue problem two-parameter eigenvalue problem linearization 65F15 15A18 15A69 15A22 

摘      要：Given a quadratic two-parameter matrix polynomial Q(?,?mu), 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(?,?mu) 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.