Sounds very cool. One thing I didn’t understand though:
> The radius of the i_th disc is the absolute values
How can a radius of a single disc (i.e. a single value) correspond to multiple values?
> The radius of the i_th disc is the absolute values
How can a radius of a single disc (i.e. a single value) correspond to multiple values?
r_i = \sum_{i \ne j} |A_{i j}|The answer to the above question is Gerschgorin disks and it's closely related cousin Brauer's Oval of Cassini.
For matrices with real eigenvalues it's moreso along the real number line, only for cases where the eigenvalues are imaginary do we imagine disks.
That line got me as well.