Clifford A. Reiter, Visualizing the Dynamics of the Rayleigh Quotient Iteration, Computers & Graphics, 16 3 (1992) 341-344.

The chaotic behavior of the Rayleigh Quotient Iteration over the complex numbers is empirically explored. The global behavior is seen to be related to the behavior near a point. The contrast between the behavior on non-Hermitian and Hemitian matrices is studied visually.

See also: · Some images, scripts and further description related to the paper [Images] · An expository paper describing some very accessible numeric techniques for estimating eigenvalues and vectors appears in [Abstract pe_1990a]