{"id":"W7161271820","doi":"10.1093/imanum/draf154","title":"A BFBt preconditioner for double saddle-point systems","year":2025,"lang":"en","type":"article","venue":"IMA Journal of Numerical Analysis","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Preconditioner; Schur complement; Discretization; Eigenvalues and eigenvectors; Block (permutation group theory); Diagonal; Linear system; Complement (music)","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0007038502,0.0001100488,0.0004808321,0.0005129655,0.0001176847,0.0002176758,0.000664442,0.0000441503,0.00006781048],"category_scores_gemma":[0.00005438963,0.00008081477,0.0006170134,0.001683589,0.00002855588,0.0004267271,0.00006716101,0.0001322443,0.00001005125],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005270854,"about_ca_system_score_gemma":0.00007246979,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000197809,"about_ca_topic_score_gemma":6.325618e-7,"domain_scores_codex":[0.9987145,0.00009273546,0.000585734,0.0001848895,0.0002291442,0.0001929989],"domain_scores_gemma":[0.9986573,0.000256932,0.0003711756,0.0002728378,0.0003306794,0.0001110711],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0007186151,0.001696327,0.002550624,0.0003812133,0.02042346,0.0001617486,0.001179402,0.1309343,0.001171196,0.7092271,0.04213908,0.08941694],"study_design_scores_gemma":[0.002843999,0.0004122985,0.0009407323,0.0001137673,0.002560436,0.0001335677,0.0002801899,0.9047325,0.001696767,0.0511418,0.03471065,0.0004333148],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.001775675,0.0005530741,0.994296,0.002049767,0.0004261904,0.00008756474,0.000005287241,0.00001973467,0.0007867138],"genre_scores_gemma":[0.9598319,0.00002048578,0.03749411,0.0004089957,0.0002170676,0.00001767121,0.000002953587,0.000005559338,0.00200129],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.9580562,"threshold_uncertainty_score":0.329553,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0118540881493861,"score_gpt":0.2754643267287671,"score_spread":0.263610238579381,"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."}}