{"id":"W340250899","doi":"10.13001/1081-3810.1173","title":"Schur complements of matrices with acyclic bipartite graphs","year":2005,"lang":"en","type":"article","venue":"Electronic Journal of Linear Algebra","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Schur complement; Combinatorics; Sign (mathematics); Bipartite graph; Invertible matrix; Factorization; Inverse; Matrix (chemical analysis); Discrete mathematics; Pure mathematics; Graph; Mathematical analysis; Algorithm; Geometry","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":[0.0009663698,0.000992806,0.0005431755,0.002228295,0.001205064,0.002354115,0.0008747093,0.0008200551,0.01118134],"category_scores_gemma":[0.005343596,0.0005399555,0.0006253312,0.002004776,0.002312668,0.002283956,0.001734311,0.0009943272,0.001561859],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001078147,"about_ca_system_score_gemma":0.001295347,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003022916,"about_ca_topic_score_gemma":0.004187059,"domain_scores_codex":[0.9984751,0.0005009922,0.00006412877,0.0002199174,0.0004740924,0.0002656639],"domain_scores_gemma":[0.9971918,0.001098266,0.000445622,0.0003507518,0.0006604597,0.0002530667],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00009129934,0.00003277111,0.0002529735,0.00006878839,0.00001340259,0.0002273326,0.0001394676,0.01805067,0.00233499,0.9567297,0.002523937,0.01953478],"study_design_scores_gemma":[0.00001926061,0.00004122951,0.0002134637,0.00003632521,0.000010685,0.00015624,0.0001249515,0.08717866,0.002544876,0.8989343,0.0107127,0.00002718692],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1756634,0.0006479059,0.733193,0.0005403872,0.0002478527,0.000339739,0.001368374,0.0009903628,0.08700897],"genre_scores_gemma":[0.7928261,0.0009119423,0.1739669,0.0004531867,0.0002677687,0.0006558716,0.0021019,0.0002775773,0.02853886],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01118134,"threshold_uncertainty_score":0.03740537,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.00782412159649532,"score_gpt":0.2472159381294646,"score_spread":0.2393918165329693,"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."}}