Let $A$ be a real symmetric matrix. Now fix a diagonal index say "i" and let $x > max-eigenvalue(A)$. Now is there any thing known about the Gershgorin circle of $[1/(x-A)]_{ii}$ in terms of the $A$? Any relation between the two?
2026-04-03 01:04:30.1775178270
Is there any relation between the Gershgorin circles of a matrix and its resolvent?
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