Proves Rump's 100-euro conjecture via a new escape principle derived from Ball's plank theorem and obtains the sharp bound rho_0(|A|) <= n rho_K(A).
Bünger,A short note on the ratio between sign-real and sign-complex spectral radii of a real square matrix, Linear Algebra Appl.529(2017), 126–132
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Plank theorems, Gaussian probabilistic estimates and Rump's 100 Euro conjecture
Proves Rump's 100-euro conjecture via a new escape principle derived from Ball's plank theorem and obtains the sharp bound rho_0(|A|) <= n rho_K(A).