{"id":"W4410605955","doi":"10.1137/24m1683184","title":"Improving the Stability and Efficiency of Operator-Splitting Methods","year":2025,"lang":"en","type":"article","venue":"SIAM Journal on Scientific Computing","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Saskatchewan","funders":"NOAA Research; Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Operator splitting; Stability (learning theory); Operator (biology); Applied mathematics; Calculus (dental); Algebra over a field; Pure mathematics; Computer science","routes":{"ca_aff":true,"ca_fund":true,"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":[0.002984926,0.0009854781,0.0008149341,0.001069944,0.0006946599,0.00102488,0.001573948,0.001288531,0.004789927],"category_scores_gemma":[0.01760998,0.0004109341,0.0005835398,0.0007606706,0.00115402,0.001832958,0.00260766,0.001564185,0.001319842],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0004482333,"about_ca_system_score_gemma":0.001074469,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001614518,"about_ca_topic_score_gemma":0.001632217,"domain_scores_codex":[0.9983606,0.0007483292,0.00007357069,0.0001353371,0.0005723279,0.0001098672],"domain_scores_gemma":[0.989159,0.006861793,0.0003727906,0.001434016,0.001854685,0.0003176855],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"not_applicable","study_design_scores_codex":[0.002113576,0.0005181196,0.003513535,0.0004133499,0.0001907518,0.0002653512,0.0006917798,0.4791148,0.06962245,0.1150154,0.00820297,0.320338],"study_design_scores_gemma":[0.00003691894,0.00004849623,0.000118459,0.000008533194,0.000007367166,0.00002272695,0.00001962289,0.9786629,0.004355939,0.01618147,0.000530372,0.000007192279],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1087352,0.0005343475,0.8808784,0.0005616922,0.0002655422,0.00008924746,0.0000853844,0.0009716511,0.007878401],"genre_scores_gemma":[0.6383939,0.0003352414,0.3548071,0.0002191481,0.0002036525,0.0001413686,0.0001679975,0.0007293798,0.005002161],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.004789927,"threshold_uncertainty_score":0.01602387,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01995528763642069,"score_gpt":0.3206563361061138,"score_spread":0.3007010484696931,"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."}}