- #1
mrcaze
- 3
- 0
Dear Friends,
I need to determinate eigenvalues/eigenvectors using householder and QR. I did the follow steps:
1. Transform A matriz to diagonal matriz using householder. I read that matrices are similar, aren't they?
2. Find eigenvalues/eigenvectors using QR Factorization;
3. Adjust found values using QR Algorithm.
However, eigenvalues/eigenvectors work only on the Av=Lv equation for diagonal matrix, but not for A (original). Is this correct? Why? May I say that the eigenvalues/eigenvectors found are the eigenvalues/eigenvectors of A?
thanks
I need to determinate eigenvalues/eigenvectors using householder and QR. I did the follow steps:
1. Transform A matriz to diagonal matriz using householder. I read that matrices are similar, aren't they?
2. Find eigenvalues/eigenvectors using QR Factorization;
3. Adjust found values using QR Algorithm.
However, eigenvalues/eigenvectors work only on the Av=Lv equation for diagonal matrix, but not for A (original). Is this correct? Why? May I say that the eigenvalues/eigenvectors found are the eigenvalues/eigenvectors of A?
thanks