Algorithms of eigenvalues and eigenvectors
Date of Publication
1996
Document Type
Bachelor's Thesis
Degree Name
Bachelor of Science in Mathematics
College
College of Science
Department/Unit
Mathematics and Statistics
Abstract/Summary
Many fields make use of the concepts about eigenvalues in their studies. In engineering, physics, statistics and computer science, computation of eigenvalues is needed. However, computation of eigenvalues is normally tedious. Mathematicians have designed relatively easy methods in computing eigenvalues.
In this study, some known methods of eigenvalue computation are discussed namely the Power method, Inverse power method, Rayliegh Quotient Iteration method and the Householder transformation method. At the end, Rayleigh Quotient Iteration Method is determined to have the fastest convergence.
A computer program including these for methods is provided which is valid for a specific kinds of matrix.
Abstract Format
html
Language
English
Format
Accession Number
TU07651
Shelf Location
Archives, The Learning Commons, 12F, Henry Sy Sr. Hall
Physical Description
79 numb. leaves
Keywords
Algorithms; Eigenvalues; Eigenvectors; Matrices; Computer programs
Recommended Citation
Atienza, N. T., & Calderon, M. C. (1996). Algorithms of eigenvalues and eigenvectors. Retrieved from https://animorepository.dlsu.edu.ph/etd_bachelors/16337
