{"id":"W4285208720","doi":"10.23952/jnva.6.2022.3.03","title":"Local convergence of the Newton’s method in two step nilpotent Lie groups","year":2022,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Iterative Methods for Nonlinear Equations","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Nilpotent; Convergence (economics); Lie group; Mathematics; Nilpotent group; Pure mathematics; Simple Lie group; Local convergence; Mathematical optimization; Economics; Iterative method; Economic growth","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"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":[0.002861672,0.0001051278,0.0004276857,0.0004208633,0.0001496607,0.00001509324,0.0002438402,0.00002342966,0.0004292443],"category_scores_gemma":[0.0005107524,0.00007400894,0.0003729806,0.001369716,0.00004821922,0.0001008521,0.0001392498,0.0003512802,4.75127e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001119622,"about_ca_system_score_gemma":0.0001738757,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00009008228,"about_ca_topic_score_gemma":0.0001459055,"domain_scores_codex":[0.997366,0.0008900219,0.0008443811,0.0001259467,0.0006631609,0.0001105081],"domain_scores_gemma":[0.9975787,0.001088436,0.0007881817,0.0001630262,0.0003329573,0.00004869923],"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":[0.0005878662,0.003238249,0.176566,0.0001263378,0.007861096,0.00005071433,0.007512481,0.3731621,0.00375698,0.4156386,0.0006408066,0.01085875],"study_design_scores_gemma":[0.001169659,0.0001273956,0.04090813,0.0000164711,0.001639381,0.00006168733,0.0008468824,0.8613209,0.0003256425,0.09248848,0.0009470636,0.0001482937],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1254156,0.0000852707,0.8727677,0.001349464,0.0001468767,0.00009135457,0.00008808391,0.000002561022,0.00005313056],"genre_scores_gemma":[0.4730421,0.00001085919,0.5263984,0.0001210426,0.0001290429,0.000004837616,0.00001158022,0.00001059107,0.0002715637],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.4881588,"threshold_uncertainty_score":0.4699924,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04702275273457566,"score_gpt":0.3818801096193021,"score_spread":0.3348573568847265,"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."}}