Sharp dimension-dependent continuity moduli for Petz and sandwiched optimized conditional Rényi entropies, attained by isotropic state pairs, for alpha in [1/2,1).
Springer, Berlin, Germany (2011)
4 Pith papers cite this work, alongside 1,440 external citations. Polarity classification is still indexing.
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Superposition relaxation creates separable estimators for factorable functions that are tighter than McCormick relaxations in numerical tests while providing convergence guarantees.
A modified proximal bundle method with a fixed absolute accuracy null-step test is shown via Frank-Wolfe duality to have O(ε^{-4/5} log^{2/5}(1/ε)) iteration complexity.
The paper shows isolated calmness of the Lagrange multiplier mapping is sufficient for the Robinson-Zowe-Kurcyusz constraint qualification and equivalent to the strict version under extra assumptions, with examples.
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Relaxation via Separable Estimators: Arithmetic and Implementation
Superposition relaxation creates separable estimators for factorable functions that are tighter than McCormick relaxations in numerical tests while providing convergence guarantees.