A Comparison of Two Proofs of Yamamoto's Theorem Relating Eigenvalue Moduli and Singular Values of a Matrix
Type of DegreeThesis
Mathematics and Statistics
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We examine two proofs of Yamamoto’s theorem regarding the asymptotic relationship between singular values and eigenvalue moduli of a matrix. The first proof is by T. Yamamoto in 1967 and makes use of compound matrices. The second is by R. Mathias in 1990 through utilization of an interlacing theorem for singular values. We compare the two proofs.