Eigenvalue bounds for matrix polynomials in generalized bases

2016/02/28 by Melman, Aaron
#12D10 #15A18 #30C15 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1602.08673

Abstract

We derive inclusion regions for the eigenvalues of matrix polynomials expressed in a general polynomial basis, which can lead to significantly better results than traditional bounds. We present several applications to engineering problems.

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