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A Comparison of Two Proofs of Yamamoto's Theorem Relating Eigenvalue Moduli and Singular Values of a Matrix

Date

2006-12-15

Author

Pell, Melinda

Type of Degree

Thesis

Department

Mathematics and Statistics

Abstract

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.