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Chu Space Partial Orderings Of Subobjects Of An Object Circle Superset Radius Characteristic Values And Vectors Of A Matrix Ball Isolated Center Of A Ring Transpose
| 1 | Partial Orderings Of Subobjects Of An Object |
| 1 | Circle |
| 1 | Chu Space |
| 1 | Superset |
| 2 | Radius |
| 2 | Characteristic Values And Vectors Of A Matrix |
| 2 | Ball |
| 3 | Center Of A Ring |
| 3 | Transpose |
| 5 | Isolated |
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Gershgorins Circle Theorem Result
Since the eigenvalues
of 
and 
transpose
are the same, you can get an additional set of discs
which has the same centers, 
, but a radius
calculated by the column
(instead of the rows). If a disc is isolated
it must contain
an eigenvalue. The eigenvalues must lie in the intersection
of these circles. Hence, by comparing the row and column discs, the eigenvalues may be located efficiently.