{"id":"W4415914281","doi":"10.28924/2291-8639-23-2025-282","title":"A New Sixteenth Order Iterative Method for Solving Nonlinear Equations","year":2025,"lang":"","type":"article","venue":"International Journal of Analysis and Applications","topic":"Iterative Methods for Nonlinear Equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Mahasarakham University","keywords":"Convergence (economics); Iterative method; Local convergence; Nonlinear system; Function (biology); Order (exchange); Numerical analysis","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001979217,0.0003631008,0.0009292442,0.002211367,0.0004445503,0.0006163373,0.0007490828,0.0001743153,0.0003432143],"category_scores_gemma":[0.002291411,0.0003391048,0.0009505085,0.002621478,0.0001027905,0.000439615,0.0001724773,0.0004139316,0.000006521164],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002243653,"about_ca_system_score_gemma":0.0009190636,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00006527961,"about_ca_topic_score_gemma":0.0001738484,"domain_scores_codex":[0.9963354,0.0002488727,0.002051902,0.0004535319,0.0006352605,0.0002750116],"domain_scores_gemma":[0.9867251,0.005097926,0.001747822,0.0003912917,0.005830467,0.0002074108],"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":[0.0002185566,0.001238233,0.0009468902,0.0001112886,0.03350378,0.000004130316,0.003035766,0.006103506,0.002978024,0.6735342,0.002801942,0.2755237],"study_design_scores_gemma":[0.002884714,0.0002047656,0.0003965277,0.0003478417,0.01797539,0.00002082045,0.001450506,0.5733494,0.003423127,0.2861002,0.1132951,0.000551534],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0002440017,0.0009165401,0.989046,0.007390557,0.0003020021,0.0008153432,0.0004710465,0.00001459528,0.0007998815],"genre_scores_gemma":[0.008410011,0.0003091276,0.9820701,0.0003961953,0.001298927,0.0001088281,0.0001490872,0.00003105693,0.007226665],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.5672459,"threshold_uncertainty_score":0.9999061,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03798209196945724,"score_gpt":0.4404564721953939,"score_spread":0.4024743802259367,"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."}}