3
votes
2answers
143 views

Is the QR algorithm for computing eigenvalues efficient for today's standards?

I was looking at the QR factorization algorithm of a matrix to approach eigenvalues. At the Wikipedia page they state that it was developed in the 50's and took over the LR algorithm. They also state ...
4
votes
1answer
208 views

Characterizing a real symmetric matrix $A$ as $A = XX^T - YY^T$

In my personal research and quest to better understand the subject, I have noticed something concerning the Cholesky factorization of symmetric matrices. Everything I have read states that a symmetric ...
1
vote
0answers
105 views

The fastest algorithm of computing Principal eigenvector of a non-negative-entries matrix

I am studying the QR algorithm, is it the fastest one in this situation?