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general_positive_semi-definite_matrix [2013/09/19 20:48] nikolaj |
general_positive_semi-definite_matrix [2014/03/21 11:11] (current) |
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| ===== General positive semi-definite matrix ===== | ===== General 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{SquareMatrix}(n,\mathbb C) $ | | + | | @#55EE55: postulate | @#55EE55: $ A \in \mathrm{SquareMatrix}(n,\mathbb C) $ | |
| - | | $ v \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 ==== | ||
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| === Subset of === | === Subset of === | ||
| [[Square matrix]] | [[Square matrix]] | ||
| - | === Requirements === | + | === Context === |
| [[Column vector]] | [[Column vector]] | ||
