{"id":"W1978948045","doi":"10.1016/j.laa.2011.05.032","title":"Pseudospectra do not determine norm behavior, even for matrices with only simple eigenvalues","year":2011,"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":"Université Laval","funders":"","keywords":"Mathematics; Eigenvalues and eigenvectors; Simple (philosophy); Matrix norm; Norm (philosophy); Novelty; Pure mathematics; Spectrum of a matrix; Applied mathematics; Matrix differential equation; 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":[0.001038992,0.001179623,0.0005893694,0.001977518,0.00108086,0.002659873,0.001014158,0.001219469,0.006704749],"category_scores_gemma":[0.01241839,0.0005024969,0.0004641301,0.0007647918,0.003815434,0.007893613,0.001242672,0.001587122,0.002040937],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002650018,"about_ca_system_score_gemma":0.0006210148,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002231828,"about_ca_topic_score_gemma":0.0003569902,"domain_scores_codex":[0.9982413,0.0003821117,0.00009632998,0.0004342392,0.0006768517,0.0001692224],"domain_scores_gemma":[0.9895043,0.003327096,0.001641333,0.002532893,0.002129523,0.0008647915],"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":[0.0004653488,0.0003201428,0.008645974,0.0003381803,0.00006439183,0.0006341043,0.0009616913,0.00656245,0.05385458,0.8242836,0.006230646,0.09763888],"study_design_scores_gemma":[0.00002130711,0.0002170055,0.004873072,0.0000679435,0.00002260868,0.001592225,0.0003708616,0.06167089,0.0226441,0.9046094,0.003727384,0.0001831711],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4539095,0.000354787,0.5029278,0.0004765688,0.0005512637,0.00008882686,0.0004608555,0.001601934,0.03962839],"genre_scores_gemma":[0.9486051,0.0003692071,0.0393781,0.0003277874,0.0003305237,0.00008337452,0.0004810827,0.0006979066,0.009726785],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006704749,"threshold_uncertainty_score":0.02242965,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02413799953575811,"score_gpt":0.2601606689662538,"score_spread":0.2360226694304957,"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."}}