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Location of Ritz values in the numerical range of normal matrices
Journal article   Open access   Peer reviewed

Location of Ritz values in the numerical range of normal matrices

Kennett L. Dela Rosa and Hugo J. Woerdeman
Linear & multilinear algebra, v 69(15), pp 2749-2778
18 Nov 2021
url
http://arxiv.org/abs/2004.05288View

Abstract

Eigenvalues interlacing matrix compressions normal matrices Ritz values
Let be a complex number in the numerical range of a normal matrix A. In the case when no eigenvalues of A lie in the interior of , we identify the smallest convex region containing all possible complex numbers for which is a 2-by-2 compression of A.

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