How to prove $\rho(A)\leq \min_D||D^{-1} A D||_2$, where $D$ is any invertible matrix, $\rho(\cdot)$ is the spectral radius, $\||\cdot\||$ is the spectral norm for the matrix? Are there any other inequalities of this type for the spectral radius and spectral norm for an arbitrary matrix?
2026-03-25 12:49:54.1774442994
How to prove the inequality for the spectral radius and spectral norm of an arbitrary matrix?
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