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
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
Recommended Citation
Arrienda, M. N., & Coseip, R. M. (1993). Methods in constructing symmetric and Hermitian matrices with prescribed eigenvalues and eigenvectors. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16125