alt Hacker NewsConsider a diagonalizable matrix A. For example, a real symmetric matrix. Start with any vector b and keep multiplying it with A.
A A A ... A b
But which one ? The one with the largest eigenvalue among all eigenvectors not orthogonal to b.
Ah… that "diagonalizable" is doing some heavy lifting there! I was wondering how exactly you’re going to make, say, a rotation matrix to converge anything to anything that’s not already an eigenvector. And rotation matrices certainly aren’t degenerate! Though apparently non-diagonalizable matrices can be called defective which is such a dismissive term :( Poor rotation matrices, why are they dissed so?!