Cases

Conditions

Bounds

1st case of sparse matrix

$\left|a_0\right|=5>1$

$\left|\lambda \right|\le 5$

Cauchy

${\Vert .\Vert }_{\infty }$

$\left|\lambda \right|\le 5$

Montel

${\Vert .\Vert }_1$

$\left|\lambda \right|\le 15$

Carmichel-Mason

${\Vert .\Vert }_2$

$\left|\lambda \right|\le 7.48$

Ovals of Cassini

$\gamma$ , $\delta$

$\left|\lambda \right|\le 5$

Dehmer

$M_1$ , ${\varphi }_2$

$\left|\lambda \right|\le 5.19$