{"id":"W2113187029","doi":"10.1016/j.cam.2009.12.026","title":"Analytical existence of solutions to a system of nonlinear equations with application","year":2010,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Probabilistic and Robust Engineering Design","field":"Decision Sciences","cited_by":18,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"Centre interuniversitaire de recherche sur les reseaux d'entreprise, la logistique et le transport","keywords":"Mathematics; Nonlinear system; Schur complement; Measure (data warehouse); Applied mathematics; Iterative method; Complement (music); Simple (philosophy); Newton's method; Numerical analysis; System of linear equations; Mathematical analysis; Mathematical optimization; Computer science; Eigenvalues and eigenvectors","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001156719,0.00006711717,0.0002848618,0.0001828916,0.0000471185,0.00002079436,0.0002027639,0.00003421862,0.000005118062],"category_scores_gemma":[0.0004396558,0.00004217661,0.00004276077,0.000376863,0.0001012831,0.00004800636,0.00003083008,0.000102567,0.000003863655],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009509077,"about_ca_system_score_gemma":0.0001103765,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":5.269545e-7,"about_ca_topic_score_gemma":7.867233e-7,"domain_scores_codex":[0.9983552,0.000008709382,0.0007715445,0.00008570994,0.0007063308,0.00007247641],"domain_scores_gemma":[0.9971164,0.001377838,0.0005354215,0.000129968,0.0007519837,0.00008840944],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00001820582,0.0001114034,0.00002148098,0.0000622528,0.00002027,3.842844e-7,0.0003047799,0.2525922,0.001340197,0.7442244,0.00004130543,0.001263093],"study_design_scores_gemma":[0.0003275165,0.0001286778,0.0006810884,0.00008642764,0.00006074848,0.00008662632,0.0007538002,0.8763419,0.0002826573,0.1210797,0.00008869052,0.0000822322],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09915858,0.000006663413,0.8999797,0.0001371114,0.00002786812,0.0001146452,0.000009130905,0.000004450869,0.0005619228],"genre_scores_gemma":[0.5894132,2.002768e-7,0.4105436,0.000004716846,0.00002423119,0.000002082168,4.973094e-7,0.000002656562,0.000008848392],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6237497,"threshold_uncertainty_score":0.1719912,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06160751295487764,"score_gpt":0.314785773197743,"score_spread":0.2531782602428654,"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."}}