{"id":"W2081691140","doi":"10.1007/s10957-006-9035-6","title":"Duality of Implicit Complementarity Problems by Using Inversions and Scalar Derivatives","year":2006,"lang":"en","type":"article","venue":"Journal of Optimization Theory and Applications","topic":"Iterative Methods for Nonlinear Equations","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"Royal Military College of Canada","funders":"","keywords":"Mathematics; Infinitesimal; Theory of computation; Complementarity (molecular biology); Duality (order theory); Scalar (mathematics); Hilbert space; Pure mathematics; Mathematical analysis; Algorithm; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001123812,0.00008707031,0.0002029841,0.00009145723,0.0002212667,0.00002645847,0.00006874183,0.00003775862,0.00004194537],"category_scores_gemma":[0.0001408981,0.00007634381,0.00003991049,0.0001936347,0.0001751058,0.0001991227,0.00003658796,0.00009329171,1.041027e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002236277,"about_ca_system_score_gemma":0.00002802043,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009269954,"about_ca_topic_score_gemma":0.000002202739,"domain_scores_codex":[0.9988926,0.0002945899,0.0005250766,0.00009382275,0.0001174075,0.00007651078],"domain_scores_gemma":[0.9983207,0.0006488948,0.000596055,0.000105559,0.0002850469,0.00004373469],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00004314379,0.0005737935,0.004744902,0.0001431115,0.0001044365,2.061399e-7,0.0008233303,0.01741014,0.02531047,0.9493983,0.0002970296,0.001151079],"study_design_scores_gemma":[0.0008922449,0.00008238487,0.0006734628,0.00007427087,0.0002092108,0.00003842848,0.0008512435,0.01968618,0.007205146,0.9691867,0.0009265016,0.0001742261],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1258767,0.0001311346,0.8733622,0.0001299525,0.000008559549,0.0002630242,0.0000686291,0.000006592235,0.0001531147],"genre_scores_gemma":[0.3571475,0.00004807586,0.6425911,0.00003866749,0.00005842571,0.00001273613,0.00003407427,0.00001416837,0.00005528858],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2312708,"threshold_uncertainty_score":0.311321,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05819998788388162,"score_gpt":0.367817745985324,"score_spread":0.3096177581014424,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}