0. Notations
| Notations | Meanings |
|---|---|
| \(X \succ 0\) | \(X\) is Positive Definate |
| \(X \succeq 0\) | \(X\) is Positive Semi-Definate |
| \(X \prec 0\) | \(X\) is Negative Definite |
| \(X \preceq 0\) | \(X\) is Negative Semi-Definate |
| \(X \in \mathbb R^n \to \mathbb R\) | \(X\) is Radially Unbounded |
| \(X \in C^1\) | \(X\) is continous and differentiable |
| \(X \in C^\infty\) | \(X\) is smooth |
| \(\exists X\) | Exists \(X\) |
| \(\forall X\) | For all \(X\) |
| \(X^*\) | Conjugate transpose of matrix \(X\) |