Piecewise-affine root-finding and global minimization in abs-normal form are shown equivalent to MLCP/LCP and LPCC/MILP problems, without requiring J nonsingularity.
Griewank, On stable piecewise linearization and generalized algorithmic differentiation , in The 6th International Conference on Automatic Differentiation, Colorado, 2012
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New complementarity formulations for root-finding and optimization of piecewise-affine functions in abs-normal form
Piecewise-affine root-finding and global minimization in abs-normal form are shown equivalent to MLCP/LCP and LPCC/MILP problems, without requiring J nonsingularity.