{"id":"W2164969278","doi":"10.1016/j.laa.2004.04.003","title":"Some remarks on matrix stability with application to Turing instability","year":2004,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Nonlinear Dynamics and Pattern Formation","field":"Computer Science","cited_by":21,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Instability; Eigenvalues and eigenvectors; Counterexample; Turing; Matrix (chemical analysis); Conjecture; Stability (learning theory); Connection (principal bundle); Diagonalizable matrix; Pure mathematics; Combinatorics; Symmetric matrix; Computer science; Physics; Geometry; Quantum mechanics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001935732,0.0001314453,0.0001163809,0.00007362074,0.0002046377,0.00008236923,0.0003165094,0.00005347563,0.000002270029],"category_scores_gemma":[0.00001001611,0.0001112578,0.00002525636,0.0003571187,0.0000228059,0.0003786894,0.0001072205,0.0001319223,0.0001007552],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006575901,"about_ca_system_score_gemma":0.00004729009,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002516046,"about_ca_topic_score_gemma":0.00003889659,"domain_scores_codex":[0.9989721,0.00001723329,0.0002207083,0.0004260033,0.0001858724,0.0001781059],"domain_scores_gemma":[0.9990421,0.00003998391,0.00007031721,0.000613154,0.00009466067,0.0001397946],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00002719497,0.0003310231,0.0006786764,0.00008897801,0.00001399633,4.674947e-7,0.0007771595,0.003171705,0.003813353,0.9609587,0.000006332864,0.03013243],"study_design_scores_gemma":[0.004335043,0.001705227,0.08165497,0.0002255424,0.00007385916,0.00007272267,0.0002587973,0.5225713,0.09054864,0.2489105,0.04695263,0.002690755],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3636876,0.00003650194,0.6328866,0.002308496,0.00001853634,0.0007531514,0.0000188548,0.0001147572,0.0001755081],"genre_scores_gemma":[0.9678626,0.00001961684,0.03123633,0.0004417522,0.0001128546,0.0002668875,0.00003384873,0.00001031648,0.00001576286],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7120482,"threshold_uncertainty_score":0.453696,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00850118881144208,"score_gpt":0.2452253177011433,"score_spread":0.2367241288897013,"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."}}