Theory and Modern Applications
Table 1 Situations matching Theorem 3.3
Case | b | F(H) | Assumptions |
|---|---|---|---|
1 | b<0 | F(H)≥0 |  |
2 | b>0 | F(H)≥0 | \((a+d)^{2}-4bc\geq0\), \(H\leq-\frac{a+d}{2b}\) |
3 | b>0 | F(H)≤0 |  |
4 | b<0 | F(H)≤0 | \((a+d)^{2}-4bc\geq0\), \(H\geq-\frac{a+d}{2b}\) |