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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

3 votes
1 answer
481 views

Bounding the norm of a contraction matrix

Suppose I have positive semidefinite matrices $A$ and $B$. Then $$\begin{bmatrix} A & X\\ X^T & B\end{bmatrix} \succeq 0$$ for $X = A^{\frac 12} C B^{\frac 12}$, where $C$ is the contraction matrix …
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