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Existence And Uniqueness Of Optimal Matrix Scalings

, 1994
. The problem of finding a diagonal similarity scaling to minimize the scaled singular value of a matrix arises frequently in robustness analysis of control systems. We show that the set of optimal diagonal scalings is nonempty and bounded if and only if
V. Balakrishnan, S. Boyd
core  

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The distance to the analytic Toeplitz operators

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Singular variation of domains and eigenvalues of the Laplacian

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Unitary approximation of positive operators

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