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A novel method to compute all eigenvalues of the polynomial eigenvalue problems in an open half plane

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In this paper, we introduce the linear fractional mapping and the contour integral method. Based on them, we develop a new numerical method to find all eigenvalues of the polynomial… Click to show full abstract

In this paper, we introduce the linear fractional mapping and the contour integral method. Based on them, we develop a new numerical method to find all eigenvalues of the polynomial eigenvalue problems in an open half plane. Numerical examples are shown to illustrate the effectiveness of the proposed method.

Keywords: polynomial eigenvalue; eigenvalues polynomial; problems open; open half; half plane; eigenvalue problems

Journal Title: Computational and Applied Mathematics
Year Published: 2019

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