{"id":"W1994084677","doi":"10.1142/s0218127403007175","title":"A MULTIGRID-LANCZOS ALGORITHM FOR THE NUMERICAL SOLUTIONS OF NONLINEAR EIGENVALUE PROBLEMS","year":2003,"lang":"en","type":"article","venue":"International Journal of Bifurcation and Chaos","topic":"Advanced Numerical Methods in Computational Mathematics","field":"Engineering","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Concordia University","keywords":"Lanczos resampling; Lanczos algorithm; Eigenvalues and eigenvectors; Mathematics; Multigrid method; Algorithm; Nonlinear system; Applied mathematics; Convergence (economics); Continuation; Computer science; Mathematical analysis; Partial differential equation","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006471049,0.0006419233,0.0005988631,0.0004741995,0.0006096712,0.0004892971,0.0008055822,0.000797643,0.002067534],"category_scores_gemma":[0.001616079,0.0003300593,0.0005461361,0.0006526871,0.0006010795,0.0006606489,0.0006307362,0.001043603,0.001343659],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003591584,"about_ca_system_score_gemma":0.000899785,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001822578,"about_ca_topic_score_gemma":0.002897691,"domain_scores_codex":[0.9997059,0.0000964782,0.0000173171,0.00002510738,0.0001398342,0.0000154245],"domain_scores_gemma":[0.9996675,0.0001369399,0.00003102288,0.00005367331,0.00008483403,0.00002600139],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0001428639,0.0001207056,0.001030625,0.0006638019,0.0001109681,0.0003329267,0.0004006024,0.4112269,0.04768442,0.1346503,0.01149608,0.3921398],"study_design_scores_gemma":[0.00004205456,0.00005155995,0.000158095,0.00002143206,0.000009838867,0.00009806312,0.0000158957,0.9579991,0.004849197,0.02123386,0.01549956,0.00002122273],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.002072655,0.0002137997,0.996222,0.00007045807,0.00005240511,0.00003219064,0.00002360951,0.0004426358,0.0008701168],"genre_scores_gemma":[0.02394585,0.0002092599,0.973581,0.00004176527,0.00002641715,0.0001486278,0.0000727641,0.0001210951,0.001853228],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.002067534,"threshold_uncertainty_score":0.006916583,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03872095919138148,"score_gpt":0.3188877709745188,"score_spread":0.2801668117831373,"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."}}