{"id":"W2142671365","doi":"10.1016/j.laa.2012.06.031","title":"Eigenvalues and equivalent transformation of a trigonometric matrix associated with filter design","year":2012,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Digital Filter Design and Implementation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Eigenvalues and eigenvectors; Integer (computer science); Matrix (chemical analysis); Connection (principal bundle); Matrix differential equation; Combinatorics; Pure mathematics; Discrete mathematics; Mathematical analysis; Differential equation","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":[0.0004162601,0.000666941,0.0003658723,0.0007658792,0.0004607128,0.001395653,0.0004810425,0.001035065,0.006770248],"category_scores_gemma":[0.002328462,0.0002291228,0.0004119592,0.0007197987,0.0008534473,0.001122395,0.0003760382,0.0007706687,0.001196655],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004286914,"about_ca_system_score_gemma":0.0004480591,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005113534,"about_ca_topic_score_gemma":0.0004426083,"domain_scores_codex":[0.9994326,0.0001491296,0.00002894882,0.00008596866,0.0002540499,0.00004923835],"domain_scores_gemma":[0.9993417,0.0002448654,0.00009971442,0.0001137601,0.0001642687,0.00003572599],"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":[0.0001904059,0.0001128603,0.0004917153,0.00009788719,0.00002678934,0.0004183492,0.000416718,0.03415832,0.05573141,0.8192444,0.002363439,0.08674764],"study_design_scores_gemma":[0.00004218511,0.0001673242,0.001045952,0.00004678203,0.00003323175,0.000913834,0.0002691855,0.4465041,0.02321385,0.5176315,0.01004836,0.00008384105],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04266006,0.0001283213,0.9380659,0.0002066156,0.0001998945,0.00003052851,0.00005182458,0.0002979223,0.01835891],"genre_scores_gemma":[0.74809,0.0005296251,0.226658,0.000216526,0.0002455113,0.0001234871,0.000163434,0.0002972368,0.02367619],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006770248,"threshold_uncertainty_score":0.02264875,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04931633399829078,"score_gpt":0.2883936712212711,"score_spread":0.2390773372229804,"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."}}