The Shapes of Numerical Ranges of Matrices

Gray, Heidi and Starbuck , Hannah (2014) The Shapes of Numerical Ranges of Matrices. [Abstract]

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Abstract

We will discuss numerical ranges of matrices, primarily focusing on the shapes they can take. We will present an in depth proof of the Elliptical Range Theorem, the Toeplitz-Hausdorff Theorem and several others. We are particularly interested in normal and almost normal matrices. Much of our research came from papers written by Rudolf Kippenhahn, Chi-Kwong Li, Karl Gustafson, Tyler Moran and Ilya Spikovsky.

Item Type: Abstract
Created by Student or Faculty: Student
Subjects: Undergrad Research Symposium > Mathematics
Undergrad Research Symposium
Depositing User: Hannah Starbuck
Date Deposited: 21 Apr 2014 10:08
Last Modified: 21 Apr 2014 10:08
URI: http://fortworks.fortlewis.edu/id/eprint/513


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