Introduces a technique for constructing Q-fully quadratic models and applies it in a random subspace DFO algorithm with almost-sure global convergence and expected iteration bounds, plus numerical comparisons to linear models.
Penrose, A generalized inverse for matrices , in Mathematical Proceedings of the Cambridge Philosophical Society, vol
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$Q$-fully Quadratic Modeling and its Application in a Random Subspace Derivative-free Method
Introduces a technique for constructing Q-fully quadratic models and applies it in a random subspace DFO algorithm with almost-sure global convergence and expected iteration bounds, plus numerical comparisons to linear models.