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Abhishek Halder
Abhishek Halder
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The result follows from operator monotonicity of inverse over symmetric positive definite matrices, i.e., $A \succeq B \Rightarrow A^{-1} \preceq B^{-1}$, thatwhich is, as a special case of the Löwner-Heinz theorem. See for example, Theorem 2.6 here.

The result follows from operator monotonicity of inverse over symmetric positive definite matrices, i.e., $A \succeq B \Rightarrow A^{-1} \preceq B^{-1}$, that is, as a special case of the Löwner-Heinz theorem. See for example, Theorem 2.6 here.

The result follows from operator monotonicity of inverse over symmetric positive definite matrices, i.e., $A \succeq B \Rightarrow A^{-1} \preceq B^{-1}$, which is a special case of the Löwner-Heinz theorem. See for example, Theorem 2.6 here.

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Abhishek Halder
Abhishek Halder
  • 1.5k
  • 9
  • 20

The result follows from operator monotonicity of inverse over symmetric positive definite matrices, i.e., $A \succeq B \Rightarrow A^{-1} \preceq B^{-1}$, that is, as a special case of the Löwner-Heinz theorem. See for example, Theorem 2.6 here.