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math.OC2021
On Properties of Univariate Max Functions at Local Maximizers
Tim Mitchell, Michael L. Overton
More than three decades ago, Boyd and Balakrishnan established a regularity result for the two-norm of a transfer function at maximizers. Their result extends easily to the stateme…
math.OC2021
Local Minimizers of the Crouzeix Ratio: A Nonsmooth Optimization Case Study
Michael L. Overton
Given a square matrix and a polynomial , the Crouzeix ratio is the norm of the polynomial on the field of values of divided by the 2-norm of the matrix . Crouzeix'…