Project1 - University of Florida MAS3114 Computational...

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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
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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
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Project1 - University of Florida MAS3114 Computational...

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