{"id":"W2187413387","doi":"10.37193/cjm.2012.01.20","title":"Proving the convergence of the iterative methods by using symbolic computation in Maple","year":2012,"lang":"en","type":"article","venue":"Carpathian Journal of Mathematics","topic":"Iterative Methods for Nonlinear Equations","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"Science North","funders":"","keywords":"Maple; Symbolic computation; Computation; Convergence (economics); Mathematical proof; The Symbolic; Nonlinear system; Newton's method; Applied mathematics; Mathematics; Computer science; Algorithm; Mathematical analysis","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":[0.002607464,0.001501221,0.001058317,0.001438376,0.001261313,0.001581602,0.001030381,0.0009150926,0.005576738],"category_scores_gemma":[0.0184733,0.0003747633,0.001528501,0.0008943498,0.003169569,0.001952543,0.002615171,0.004103365,0.001890221],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008452535,"about_ca_system_score_gemma":0.00112542,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001367429,"about_ca_topic_score_gemma":0.001102751,"domain_scores_codex":[0.9983463,0.0006171035,0.00009879089,0.0001118593,0.0007103305,0.0001155774],"domain_scores_gemma":[0.9931786,0.004362542,0.0002939563,0.0006538183,0.001363883,0.0001471733],"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":[0.0001449258,0.00007610135,0.000716162,0.000549963,0.0001431701,0.0005155833,0.0007594939,0.09692653,0.01177958,0.7807862,0.004518277,0.1030839],"study_design_scores_gemma":[0.00003537007,0.00006575845,0.000305879,0.00009696351,0.00004506015,0.0002640819,0.00007063011,0.5525933,0.01578093,0.4209858,0.009703613,0.00005269794],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.006005747,0.0003113934,0.9829946,0.0002309716,0.000106204,0.00003838303,0.00003475586,0.0003021562,0.009975878],"genre_scores_gemma":[0.3757682,0.001379091,0.6094792,0.0004091654,0.0004097357,0.0004188858,0.0001735556,0.0009222588,0.01103991],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.005576738,"threshold_uncertainty_score":0.01865602,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1521274982531108,"score_gpt":0.4509420667363865,"score_spread":0.2988145684832757,"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."}}