{"id":"W2037586972","doi":"10.1007/s11075-013-9767-y","title":"On per-iteration complexity of high order Chebyshev methods for sparse functions with banded Hessians","year":2013,"lang":"en","type":"article","venue":"Numerical Algorithms","topic":"Advanced Optimization Algorithms Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Sherbrooke; University of Ottawa","funders":"","keywords":"Theory of computation; Mathematics; Chebyshev filter; Applied mathematics; Order (exchange); Chebyshev iteration; Numerical analysis; Chebyshev polynomials; Mathematical optimization; Algorithm; Mathematical analysis","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":[0.006292334,0.001578005,0.001270016,0.001088069,0.001016795,0.002001008,0.00209085,0.001881761,0.007423434],"category_scores_gemma":[0.03445799,0.0006374983,0.0009655475,0.001157377,0.002809132,0.004091428,0.003257207,0.004715694,0.001062374],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00186916,"about_ca_system_score_gemma":0.00250917,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00464752,"about_ca_topic_score_gemma":0.007327941,"domain_scores_codex":[0.9969363,0.001398215,0.0001286367,0.0002291087,0.001040822,0.0002669472],"domain_scores_gemma":[0.9557582,0.03822645,0.000742569,0.002159829,0.002474432,0.0006385954],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.001036267,0.0003243359,0.003028006,0.0005643591,0.0001348312,0.00026919,0.0005001781,0.6638027,0.009054478,0.2119957,0.008359724,0.1009303],"study_design_scores_gemma":[0.00001703267,0.00002921857,0.0002320723,0.00001850112,0.000008597563,0.00002743274,0.00003287169,0.9695422,0.001049102,0.02846771,0.0005638121,0.00001141876],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04144815,0.001094909,0.947337,0.00134104,0.000244236,0.00007899362,0.0001839879,0.0003633048,0.007908347],"genre_scores_gemma":[0.4887652,0.001350582,0.4927053,0.000590344,0.0004165448,0.0005094024,0.0006392875,0.001245301,0.01377793],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007423434,"threshold_uncertainty_score":0.03327739,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09780373790638307,"score_gpt":0.403758183934134,"score_spread":0.3059544460277509,"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."}}