3 problems

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Conjecture on the cause of attraction to worse local minima in relaxed barrier problems
Let $\mu$ and $\tau$ be the barrier and upper-level complementarity relaxation parameters, respectively, and consider an algorithm that solves an early relaxed barrier problem only…
Conjectureopencomplementarity-constraints interior-point-methods nonlinear-programmingarXiv posted 2 days ago
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Strict complementarity implies fuzzy inner calmness*
Let $F$ be the mapping in the generalized nonlinear program, let $g$ be the associated function, and let $Y(\bar x)$ denote the multiplier set at $\bar x$ . The notation…
Conjectureopencalmness-properties nonlinear-programming variational-analysisarXiv posted 2 days ago
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Extension of the augmented-Lagrangian limit result to non-convex nonlinear programming
Augmented-Lagrangian limit conjecture. A similar convergence result can also be verified for the more general case of non-convex nonlinear programming.
Conjectureopenaugmented-lagrangian-methods nonlinear-programming optimizationarXiv posted 2 days ago

Conjecture on the cause of attraction to worse local minima in relaxed barrier problems