{"id":"W2000722448","doi":"10.1007/s10107-010-0432-0","title":"Monotonicity of Löwner operators and its applications to symmetric cone complementarity problems","year":2010,"lang":"en","type":"article","venue":"Mathematical Programming","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"National Key Research and Development Program of China; National Natural Science Foundation of China","keywords":"Monotone polygon; Monotonic function; Complementarity (molecular biology); Mathematics; Lipschitz continuity; Mixed complementarity problem; Nonlinear complementarity problem; Complementarity theory; Pure mathematics; Cone (formal languages); Mathematical economics; Nonlinear system; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.005150905,0.001023672,0.001450375,0.002793367,0.001534358,0.002873322,0.001538622,0.001658606,0.005535651],"category_scores_gemma":[0.0123077,0.0006038892,0.001698791,0.002116516,0.003789605,0.006006917,0.002782582,0.00526425,0.0005423276],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001329737,"about_ca_system_score_gemma":0.00141853,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001653024,"about_ca_topic_score_gemma":0.001571191,"domain_scores_codex":[0.9985898,0.0007417782,0.00008046805,0.0001745625,0.000275377,0.0001379883],"domain_scores_gemma":[0.9930483,0.004796982,0.0005045245,0.0002698273,0.000942726,0.0004374876],"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":[0.00004510784,0.00004782929,0.0002920693,0.0001524833,0.0000188692,0.0001169477,0.0002293968,0.005632243,0.001947932,0.974611,0.001636228,0.01526976],"study_design_scores_gemma":[0.00001014334,0.00003281612,0.0002575399,0.00005531272,0.00001193002,0.0001338104,0.0001163925,0.0571016,0.0008271648,0.937108,0.004317573,0.0000276254],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07431375,0.01072036,0.8163413,0.005231636,0.0006586738,0.0001181395,0.0002913632,0.000164546,0.09216027],"genre_scores_gemma":[0.7176469,0.01198361,0.2322784,0.001754409,0.001456882,0.0003777065,0.0003534873,0.0002495954,0.03389901],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005535651,"threshold_uncertainty_score":0.02724087,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0942000388850745,"score_gpt":0.3664300363842832,"score_spread":0.2722299974992087,"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."}}