2 problems

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Local stability conjecture for the active set in constrained perturbation problems
Consider the perturbed constrained optimization problem … where … Assume that at $t=0$ there is a unique optimal solution $z_0$ with a unique Lagrangian multiplier $v_0$ , let…
Conjectureopenconstrained-optimization perturbation-analysis stochastic-optimizationarXiv posted 2 days ago
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The norm bound excludes multichain perturbation matrices
Multichain exclusion conjecture. The condition $\lVert (R-P)D_P\rVert<1$ rules out the case that $R$ is a multichain.
Conjectureopenmarkov-chains matrix-norms perturbation-analysisarXiv posted 2 days ago

Local stability conjecture for the active set in constrained perturbation problems