Constructing Strong Linearizations of Matrix Polynomials Expressed in Chebyshev Bases
Constructing Strong Linearizations of Matrix Polynomials Expressed in Chebyshev Bases
The need to solve polynomial eigenvalue problems for matrix polynomials expressed in nonmonomial bases has become very important. Among the most important bases in numerical applications are the Chebyshev polynomials of the first and second kind. In this work, we introduce a new approach for constructing strong linearizations for matrix …