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The norm of a matrix B as a Hadamard multiplier is the norm of the mapX [rarr ] X [middot] B, where [middot] is the Hadamard or entrywise product of matrices. Watson proposed an algorithm for finding lower bounds for the Hadamard multiplier norm of a matrix. It is shown how Watson's algorithm can be used to give upper bounds as well, which, in many cases, yield the Hadamard multiplier norm to any...