{"id":"W1984859145","doi":"10.1115/imece2011-62600","title":"A Variant Algorithm for Solving Eigenvalue Equation in Linear Stability Problems","year":2011,"lang":"en","type":"article","venue":"Volume 6: Fluids and Thermal Systems; Advances for Process Industries, Parts A and B","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Windsor","funders":"","keywords":"Eigenvalues and eigenvectors; Chebyshev filter; Stability (learning theory); Linear stability; Algorithm; Applied mathematics; Mathematics; Linear system; Chebyshev polynomials; Numerical stability; Resolution (logic); Computer science; Numerical analysis; Mathematical optimization; Mathematical analysis; Nonlinear system; Physics","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":[0.001148804,0.0008768109,0.0007646275,0.0009189153,0.0005466546,0.0008046013,0.00184015,0.001069283,0.004174137],"category_scores_gemma":[0.002596926,0.0003504705,0.0007110836,0.0009584457,0.0008060257,0.001191203,0.001096589,0.001521291,0.002120536],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000440001,"about_ca_system_score_gemma":0.0008455116,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001661107,"about_ca_topic_score_gemma":0.001786238,"domain_scores_codex":[0.9993932,0.0002008455,0.0000348982,0.00008236618,0.0002506187,0.00003801449],"domain_scores_gemma":[0.9992225,0.0003325044,0.00004718453,0.0001205685,0.0002442408,0.00003305661],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001971168,0.0001691237,0.001312674,0.0003123483,0.0001341431,0.0002450548,0.0003132897,0.2116439,0.02390616,0.3201303,0.008577469,0.4330585],"study_design_scores_gemma":[0.00004172426,0.00007016405,0.0001935709,0.00001418412,0.00001605611,0.0001154856,0.00001927126,0.9465913,0.003168061,0.04048898,0.009260859,0.00002031712],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0008789125,0.0000423328,0.9982211,0.00002766234,0.00003044375,0.00002491944,0.00001121033,0.0001516621,0.0006117831],"genre_scores_gemma":[0.03250467,0.0001284876,0.9636484,0.00007586735,0.00006609812,0.0002400128,0.00009152057,0.000241918,0.003002918],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.004174137,"threshold_uncertainty_score":0.01396388,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0502492139094596,"score_gpt":0.2553725274171517,"score_spread":0.2051233135076921,"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."}}