Symplectic (butterfly) eigenvalues and numerical range

I am interested in the theory of matrix polynomials and numerical solutions of the polynomial eigenvalue problem, which includes, as special cases, computing the roots of a polynomial and the eigenvalues of a matrix. Recently, I have applied my knowledge in numerical linear algebra and matrix polynomials to the study of the rankability of data and inhomogeneous Markov chains, respectively. My teaching experience spans a variety of academic institutions and mathematics courses, and a diverse student body.

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