{"id":"W2141336296","doi":"10.1016/j.jsc.2006.02.001","title":"Normal forms for general polynomial matrices","year":2006,"lang":"en","type":"article","venue":"Journal of Symbolic Computation","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":54,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Matrix polynomial; Polynomial matrix; Matrix (chemical analysis); Computation; Hermite polynomials; Polynomial; Algebra over a field; Pure mathematics; Discrete mathematics; Mathematical analysis; Algorithm","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":[0.001192641,0.00135716,0.0009155366,0.002506182,0.001627372,0.00449518,0.001163205,0.001208731,0.01857729],"category_scores_gemma":[0.004815165,0.0006349988,0.0007921325,0.001865026,0.003263997,0.007449318,0.001925121,0.002857446,0.003480646],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001571376,"about_ca_system_score_gemma":0.00104553,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001334639,"about_ca_topic_score_gemma":0.001792573,"domain_scores_codex":[0.9988434,0.0002468676,0.00007488842,0.0002353097,0.0004153465,0.0001842036],"domain_scores_gemma":[0.9982962,0.0005025465,0.0001642552,0.0002349212,0.000565563,0.0002366528],"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":[0.00002786959,0.00002430586,0.0000841073,0.00001487946,0.0000031518,0.00004511261,0.0001819275,0.000413263,0.0005081046,0.990844,0.001628303,0.006224982],"study_design_scores_gemma":[0.00001080642,0.00001106457,0.00003661612,0.000004078453,0.000002008718,0.00006758181,0.00004901798,0.003010344,0.0002722729,0.9941723,0.002354189,0.000009816235],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2674478,0.0009777058,0.4945799,0.003421016,0.001697055,0.0003473098,0.001062206,0.001264472,0.2292026],"genre_scores_gemma":[0.8407971,0.00107429,0.05646992,0.00058535,0.0009503457,0.000242636,0.0009443094,0.0006117334,0.09832419],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01857729,"threshold_uncertainty_score":0.0621472,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00823453275827883,"score_gpt":0.2427618850814545,"score_spread":0.2345273523231757,"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."}}