{"id":"W68169506","doi":"10.1007/978-3-0348-8181-4_20","title":"A Note on the Level Sets of a Matrix Polynomial and Its Numerical Range","year":2002,"lang":"en","type":"book-chapter","venue":"Birkhäuser Basel eBooks","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Regina","funders":"","keywords":"Omega; Backslash; Combinatorics; Mathematics; Lambda; Bounded function; Polynomial; Matrix (chemical analysis); Physics; Mathematical analysis; Quantum mechanics; Chemistry","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":[0.0003431179,0.000451953,0.0004644445,0.001238925,0.0007764032,0.00175283,0.0007812027,0.0004177618,0.005141816],"category_scores_gemma":[0.001192588,0.0004483309,0.0005263301,0.001589917,0.001573344,0.002615546,0.001209163,0.003201789,0.00239709],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008530054,"about_ca_system_score_gemma":0.0003132889,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001027166,"about_ca_topic_score_gemma":0.001222851,"domain_scores_codex":[0.9997527,0.00003489863,0.00001079682,0.00004245452,0.0001355766,0.00002347033],"domain_scores_gemma":[0.9995916,0.0002504049,0.00001841417,0.00006023431,0.00004980359,0.00002948757],"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":[0.00001485203,0.00001030984,0.00005875213,0.00007180299,0.000003501516,0.00004944742,0.0001569822,0.001631234,0.001230443,0.958472,0.007894858,0.03040583],"study_design_scores_gemma":[0.000005749183,0.00002769846,0.0003543966,0.00006632163,0.000007573839,0.0002033617,0.00005739402,0.008203081,0.001164276,0.9057809,0.08411456,0.00001475663],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.03501435,0.0277253,0.2775775,0.002329344,0.001192114,0.00003669647,0.0004637226,0.0006907582,0.6549702],"genre_scores_gemma":[0.4887199,0.0217752,0.2346032,0.001412325,0.002207186,0.0001741831,0.0008638215,0.001190791,0.2490534],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.005141816,"threshold_uncertainty_score":0.01720113,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04234564462617618,"score_gpt":0.2532330349708016,"score_spread":0.2108873903446254,"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."}}