{"id":"W4404024369","doi":"10.3390/axioms13110764","title":"On the Lanczos Method for Computing Some Matrix Functions","year":2024,"lang":"en","type":"article","venue":"Axioms","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"","keywords":"Lanczos resampling; Convergence (economics); Applied mathematics; Matrix (chemical analysis); Computer science; Polynomial; Lanczos algorithm; Symmetric matrix; Algebra over a field; Matrix function; Mathematics; Algorithm; Mathematical optimization; Eigenvalues and eigenvectors; Pure mathematics; Mathematical analysis; Quantum mechanics; 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":[0.001120328,0.000956658,0.0007941267,0.001059768,0.0007834563,0.0007978764,0.00113864,0.0008863017,0.006742396],"category_scores_gemma":[0.004167685,0.0003623736,0.0006071401,0.001942144,0.001193214,0.001538187,0.0009463928,0.001774717,0.003178905],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006988981,"about_ca_system_score_gemma":0.001821762,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.008208008,"about_ca_topic_score_gemma":0.01184851,"domain_scores_codex":[0.9994874,0.0001672532,0.00002666218,0.00005573737,0.0002180106,0.00004483714],"domain_scores_gemma":[0.9991128,0.0005000265,0.00004887868,0.00009999457,0.0001946116,0.00004372824],"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":[0.0003704278,0.0001632895,0.001030624,0.00047442,0.00008078448,0.0003405529,0.0003294294,0.3320103,0.02148872,0.2381833,0.01045508,0.395073],"study_design_scores_gemma":[0.00004354638,0.00003875792,0.0001069143,0.00001396395,0.000005720115,0.00004067723,0.00002025975,0.9549142,0.001975446,0.03943538,0.003387239,0.00001786676],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.004477128,0.0002280041,0.9919857,0.0001349386,0.00005426402,0.00003814166,0.00004143904,0.0007117972,0.002328597],"genre_scores_gemma":[0.07741423,0.0004009719,0.9160776,0.0001538641,0.00008447562,0.0001743804,0.0001650892,0.0003085576,0.005220755],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.008208008,"threshold_uncertainty_score":0.02255553,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01958935691346816,"score_gpt":0.3132557596240241,"score_spread":0.293666402710556,"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."}}