Methods in constructing symmetric and Hermitian matrices with prescribed eigenvalues and eigenvectors

Date of Publication

1993

Document Type

Bachelor's Thesis

Degree Name

Bachelor of Science in Mathematics

College

College of Science

Department/Unit

Mathematics and Statistics

Abstract/Summary

This paper is based on the article Symmetric Matrices with Prescribed Eigenvalues and Eigenvectors by Konrad J. Heuvers which was published in March, 1982 in Mathematics Magazine, and on a section of the book Introduction to Vector Functions by James A. Hummel. Definitions and theorems were provided to enable the reader to understand the terms used in the paper. It provides more detailed proofs of the theorem and corollary presented in the article. Since the article deals only with theorems in constructing symmetric matrices with real entries, this paper extends some of the theorems to the construction of Hermitian matrices with complex matrices.

Abstract Format

html

Language

English

Format

Print

Accession Number

TU06215

Shelf Location

Archives, The Learning Commons, 12F, Henry Sy Sr. Hall

Physical Description

79 leaves

Keywords

Symmetric functions; Matrices; Eigenvalues; Eigenvectors; Hermitian structures

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