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hermitian_positive_semi-definite_matrix [2013/09/19 20:50] nikolaj |
hermitian_positive_semi-definite_matrix [2014/03/21 11:11] (current) |
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| ===== Hermitian positive semi-definite matrix ===== | ===== Hermitian positive semi-definite matrix ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $n\in\mathbb N$ | | + | | @#55CCEE: context | @#55CCEE: $n\in\mathbb N$ | |
| - | | @#FFBB00: $ A \in \mathrm{it}(n) $ | | + | | @#FFBB00: definiendum | @#FFBB00: $ A \in \mathrm{it}(n) $ | |
| - | | @#55EE55: $ A \in \mathrm{HermitianMatrix}(n) $ | | + | | @#55EE55: postulate | @#55EE55: $ A \in \mathrm{HermitianMatrix}(n) $ | |
| | $ x \in \text{ColumnVector}(n,\mathbb C) $ | | | $ x \in \text{ColumnVector}(n,\mathbb C) $ | | ||
| - | | @#55EE55: $ A \in \mathrm{SquareMatrix}(n,\mathbb C) $ | | + | | @#55EE55: postulate | @#55EE55: $ A \in \mathrm{SquareMatrix}(n,\mathbb C) $ | |
| - | | @#55EE55: $ x^* A\ x \ge 0 $ | | + | | @#55EE55: postulate | @#55EE55: $ x^* A\ x \ge 0 $ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
