{"id":"W1469905851","doi":"10.1016/j.laa.2015.07.031","title":"Characterization of a family of generalized companion matrices","year":2015,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Monomial; Matrix (chemical analysis); Field (mathematics); Combinatorics; Order (exchange); Characterization (materials science); Algebraically closed field; Pure mathematics; Algebra over a field; Discrete mathematics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0006157356,0.000766077,0.0005961324,0.001795313,0.0009139063,0.001594778,0.0007854095,0.0009596152,0.005042937],"category_scores_gemma":[0.006075607,0.0003290818,0.0006479112,0.001114197,0.001513954,0.001705849,0.001336455,0.001521924,0.0006288005],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005077784,"about_ca_system_score_gemma":0.0005912227,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000438254,"about_ca_topic_score_gemma":0.0003468471,"domain_scores_codex":[0.9993729,0.0001470421,0.0000258468,0.0001673918,0.0002021046,0.00008479722],"domain_scores_gemma":[0.9962035,0.001410686,0.0006530106,0.0004232701,0.0007816296,0.0005278259],"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":[0.0001412488,0.00006931468,0.001894285,0.00007097291,0.00003826037,0.0006712116,0.0004787916,0.0062551,0.009492622,0.9551435,0.003880613,0.02186402],"study_design_scores_gemma":[0.00004078765,0.0001718805,0.001712528,0.00002979243,0.00002473028,0.001659407,0.0002123144,0.1060436,0.003195022,0.8781505,0.008703013,0.00005641286],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4532557,0.0005542099,0.5167549,0.0008590863,0.0001648052,0.00009765881,0.0004623294,0.0005446587,0.02730671],"genre_scores_gemma":[0.9512277,0.0003357591,0.03806975,0.0002969165,0.0002606472,0.00009667694,0.0006021092,0.0001159442,0.00899454],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005042937,"threshold_uncertainty_score":0.01687032,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02606064043126053,"score_gpt":0.263592704994818,"score_spread":0.2375320645635575,"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."}}