The Relation Between the QR and LR Algorithms

Hongguo Xu
1998 SIAM Journal on Matrix Analysis and Applications  
For an Hermitian matrix the QR transform is diagonally similar to two steps of the LR transforms. Even for non-Hermitian matrices the QR transform may be written in rational form.
doi:10.1137/s0895479896299937 fatcat:5wnerq6ndvf3djpinm4z5r437u