Gershgorin’s circle theorem result

Since the eigenvaluesMathworldPlanetmathPlanetmathPlanetmathPlanetmath of A and A transposeMathworldPlanetmath are the same, you can get an additional set of discs which has the same centers, aii, but a radius calculated by the column ji|aji| (instead of the rows). If a disc is isolated it must contain an eigenvalue. The eigenvalues must lie in the intersectionMathworldPlanetmath of these circles. Hence, by comparing the row and column discs, the eigenvalues may be located efficiently.

Title Gershgorin’s circle theorem result
Canonical name GershgorinsCircleTheoremResult
Date of creation 2013-03-22 13:48:47
Last modified on 2013-03-22 13:48:47
Owner saki (2816)
Last modified by saki (2816)
Numerical id 11
Author saki (2816)
Entry type Result
Classification msc 15A42