Lecture 17
Introduction to Eigenvalue Problems
Shang-Hua Teng
Eigenvalue Problems
Eigenvalue problems occur in many areas of
science and engineering
E.g., Structure analysis
It is important for analyzing numerical and linear
algebra algorithms
Impact

Lecture 16
Eigenvalues and Eigenvectors
Last Time
-Matrices for Linear Transformations
-Transition Matrix and Similarity
Elementary Linear Algebra
R. Larsen et al. (5 Edition)
TKUEE e
-NTUEE SCC_01_2008
Lecture 16: Eigenvalues and Eigenvectors
Today
Eigen

Linear Algebra
Canonical Forms
re
Friedberg, Insel, and Spence, Linear Algebra, 2nd ed.,
Prentice-Hall. (Chapter 7)
p
r
Introduction
The advantage of a diagonalizable linear operator is the
simplicity of its description.
Not every linear operator is dia