# Gershgorin Circle Theorem Visualization

The Gershgorin circle theorem bounds the eigenvalues of a square matrix within Gershgorin discs. Each disc is a circle centered at the $ith$ diagonal element with radius equal to the sum of the absolute values of the $ith$ row elements. In the following visualization, the eigenvalues and discs of matrix $A = (1-t)D + tN$ are shown as the eigenvalues are continuous in $t$ as it varies from 1 to 0. $D$ is a diagonal matrix entries equal to the diagaonal elements of $N$.