{"id":"W1976078904","doi":"10.1007/s00010-003-2708-4","title":"Characteristic solutions of polynomial-like iterative equations","year":2004,"lang":"en","type":"article","venue":"Aequationes Mathematicae","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":47,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Polynomial; Applied mathematics; Iterative method; Matrix polynomial; Mathematical analysis; Algebra over a field; Mathematical optimization; Pure mathematics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0004583861,0.000274368,0.0004514984,0.0003667533,0.0004655716,0.00005856964,0.0002696374,0.0001263358,0.0006822367],"category_scores_gemma":[0.003316697,0.0002704727,0.0002248249,0.0006263487,0.0002289538,0.0005130324,0.00008663654,0.0001888182,0.0005539112],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002392819,"about_ca_system_score_gemma":0.0002741238,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005921129,"about_ca_topic_score_gemma":0.00008146646,"domain_scores_codex":[0.9975724,0.0001143658,0.001044724,0.0003139113,0.0005818097,0.0003727697],"domain_scores_gemma":[0.9961489,0.002023315,0.0005949127,0.0006146055,0.0004982037,0.0001200304],"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":[0.00001399658,0.0008456764,0.00001029758,0.0000972359,0.0001179506,0.000001052659,0.00190852,0.0002942199,0.004633817,0.9913291,0.000523322,0.0002248378],"study_design_scores_gemma":[0.001097656,0.0001095289,0.001799705,0.0002972428,0.0002893351,0.00002069773,0.0005906981,0.004438953,0.001569788,0.989192,0.0001718791,0.0004225264],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.05263723,0.00004204323,0.941399,0.00148492,0.0004049103,0.0007414361,0.0001326032,0.0002100661,0.002947739],"genre_scores_gemma":[0.9375609,0.000006363709,0.06119432,0.00006034405,0.0001126436,0.0002424273,0.0001299133,0.00004593597,0.0006471806],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8849236,"threshold_uncertainty_score":0.9999747,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09902356729149181,"score_gpt":0.329206832104509,"score_spread":0.2301832648130172,"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."}}