Infimum of a matrix norm of A induced by an absolute vector norm

Published 31 Mar 2021 in math.FA | (2104.00072v2)

Abstract: We characterize the infimum of a matrix norm of a square matrix A induced by an absolute norm, over the fields of real and complex numbers. Usually this infimum is greater than the spectral radius of A. If A is sign equivalent to a nonnegative matrix B then this infimum is the spectral radius of B.

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Authors (1)

Shmuel Friedland

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