A matrix is PSD if $$\langle Ax, x\rangle \ge 0, \forall x \in H$$
Where, H is a hilbert space and A is a mapping $H \rightarrow H$. Is it the same as being Non-negative? I couldn't seem to find a specific definition for a non-negative operator.
A matrix is PSD if $$\langle Ax, x\rangle \ge 0, \forall x \in H$$
Where, H is a hilbert space and A is a mapping $H \rightarrow H$. Is it the same as being Non-negative? I couldn't seem to find a specific definition for a non-negative operator.
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