{"id":"W2151529082","doi":"10.3968/j.sms.1923845220110301.152","title":"Spectral Radius of Nonnegative Centrosymmetric Matrices","year":2011,"lang":"en","type":"article","venue":"Studies in mathematical sciences","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Spectral radius; RADIUS; Mathematics; Combinatorics; Physics; Eigenvalues and eigenvectors; Quantum mechanics; Computer science","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008629699,0.000566939,0.00043648,0.001320749,0.0004979769,0.0009593295,0.0006457501,0.0004656217,0.002759071],"category_scores_gemma":[0.006597281,0.0001746116,0.0003137917,0.0006284213,0.001150804,0.001722624,0.0008841812,0.0007181841,0.0007656092],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004088368,"about_ca_system_score_gemma":0.0003824716,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005817472,"about_ca_topic_score_gemma":0.0005213142,"domain_scores_codex":[0.9992684,0.0002083921,0.00003414011,0.0001185773,0.0002950288,0.00007537277],"domain_scores_gemma":[0.9971084,0.001267504,0.0003955365,0.000340651,0.0007010954,0.0001867769],"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":[0.0002749285,0.00005022438,0.001913669,0.0002359439,0.00004265929,0.0002738506,0.0002628607,0.1285951,0.03937707,0.7213796,0.005161754,0.1024323],"study_design_scores_gemma":[0.00001597321,0.00008424442,0.001087678,0.00003664462,0.00001326062,0.000336663,0.0001338441,0.6335961,0.01376679,0.346293,0.004582389,0.00005335983],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1003375,0.0004228141,0.8884995,0.0002262048,0.00008502613,0.0000329188,0.0001365152,0.0002853487,0.009974217],"genre_scores_gemma":[0.8129427,0.0006903755,0.1818261,0.0001587274,0.0001415602,0.00007923134,0.0002903692,0.0001582556,0.003712654],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002759071,"threshold_uncertainty_score":0.009230018,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08848144104843177,"score_gpt":0.3298438700662019,"score_spread":0.2413624290177701,"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."}}