Suppose $A$ and $B$ are symmetric positive definite matrices, and $x$ is a positive real number, how do I solve the following equation for $x$ and operator norm $\|\cdot\|$?
$$\|I-2x A + x^2 B\|=1$$
Suppose $A$ and $B$ are symmetric positive definite matrices, and $x$ is a positive real number, how do I solve the following equation for $x$ and operator norm $\|\cdot\|$?
$$\|I-2x A + x^2 B\|=1$$
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