Defines and relates multiple stationary-point notions for rank-regularized problems via MPEC and penalty reformulations, plus a weaker condition linking local MPEC minimizers to M-stationarity.
Lancaster, On eigenvalues of matrices dependent on a parameter, Numerische Mathematik, 6(1964): 377-387
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Several classes of stationary points for rank regularized minimization problems
Defines and relates multiple stationary-point notions for rank-regularized problems via MPEC and penalty reformulations, plus a weaker condition linking local MPEC minimizers to M-stationarity.