Symmetric QR Algorithm with Permutations
  In this paper, we present the QR Algorithm with Permutations that shows an improved convergence rate compared to the classical QR algorithm. We determine a bound for performance based on best instantaneous convergence, and develop low complexity methods for computing the permutation matrices at every iteration. We use simulations to verify the improvement, and to compare the performance of proposed algorithms to the classical QR algorithm. 
Aravindh Krishnamoorthy
cs.NA cs.MS math.NA