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FOCM
2010
161views more  FOCM 2010»
13 years 3 months ago
The Asymptotics of Wilkinson's Shift: Loss of Cubic Convergence
One of the most widely used methods for eigenvalue computation is the QR iteration with Wilkinson’s shift: here the shift s is the eigenvalue of the bottom 2 × 2 principal mino...
Ricardo S. Leite, Nicolau C. Saldanha, Carlos Tome...
MOC
2002
107views more  MOC 2002»
13 years 4 months ago
Convergence of the shifted QR algorithm for unitary Hessenberg matrices
This paper shows that for unitary Hessenberg matrices the QR algorithm, with (an exceptional initial-value modification of) the Wilkinson shift, gives global convergence; moreover,...
Tai-Lin Wang, William B. Gragg