Numerical Analysis. EE, NCKU Tien-Hao Chang (Darby Chang). In the previous slide. Eigenvalues and eigenvectors The power method locate the dominant eigenvalue Inverse power method Deflation. 2. In this slide. Find all eigenvalues of a symmetric matrix
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Tien-Hao Chang (Darby Chang)
Reduction to symmetric tridiagonal form
Generating appropriate Householder matrices
About generating Householder matrices
Is there any possible cancellation errors?
4.4 Reduction to symmetric tridiagonal form
Eigenvalues of symmetric tridiagonal matrices
The off-diagonal elements zero while the diagonal elements the eigenvalues (in decreasing order)
The heart of the QR algorithm
Eigenvalues and eigenvectors
Email to [email protected] or hand over in class. Note that the fourth problem is a programming work.
Write a program to obtain given a symmetric tridiagonal matrix