Cauchy’s interlace theorem for eigenvalues of Hermitian matrices. (English) Zbl 1050.15008

Hwang, Suk-Geun

Am. Math. Mon. 111, No. 2, 157-159 (2004).

The intermediate value theorem is used to give a simple elementary proof of Cauchy’s interlace theorem.

Reviewer: Alan L. Andrew (Bundoora)

MSC:

15A18	Eigenvalues, singular values, and eigenvectors
15A42	Inequalities involving eigenvalues and eigenvectors

Keywords:

eigenvalues; intermediate value theorem; Cauchy interlace theorem