Project1 - University of Florida MAS3114 Computational...

This preview shows pages 1–3. Sign up to view the full content.

University of Florida MAS3114 – Computational Linear Algebra Section 3164 Project 1 Using the Power and Inverse Power Methods to Find Eigenvalues and Eigenvectors Report prepared by: Francesca Ramadori

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Introduction This project is useful because it teaches us how to find eigenvalues and eigenvectors and how to use them. We will use a program such as Matlab to find this data. This will make the problem simpler and make it into a 1-D problem instead of a larger, more complex one. The eigenvector of an n x n matrix A is a non-zero vector x that satisfies Ax = λ for some scalar λ . If there’s a nontrivial solution, a scalar λ is called an eigenvalue of A , while x is the eigenvector. The power method doesn’t give an exact eigenvalue, but it does give a close approximation of the largest eigenvalue. The inverse power method, however, gives us an approximation of any eigenvalue, given a close estimate α of the eigenvalue. Objective
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Page1 / 4

Project1 - University of Florida MAS3114 Computational...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online