|3:30-4:15||Michael Epton, Boeing Research & Technology, Math Group|
|The Q-R Algorithm of Kublanovskaya and Francis|
The Q-R Algorithm is placed into context as an application of Newton's Method to the solution of an augmented system. Wielandt Inverse Iteration emerges along the way. The solution process is addressed with the Inverse Taylor Series method. This enables a simple proof of cubic convergence for the Q-R algorithm in the Hermitian case. More generally, it has suggested the application of series reversion to quadratic maps, enabling the choice of order of convergence.