Abstract
This paper discusses several measures of nonnormality of matrices, i.e., functions v: C n, n → R plus where v( A)=0 iff A is normal. Besides measures already in the literature, we introduce new ones and give comparisons between them at length. Some of these comparisons, e.g. (C14), (C15), and (C17) manifest well-known phenomena of ill-conditioned eigenproblems.
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