{"id":"W2041135148","doi":"10.1016/j.laa.2008.06.007","title":"More on generalized inverses of partitioned matrices with Banachiewicz–Schur forms","year":2008,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":28,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Moore–Penrose pseudoinverse; Hermitian matrix; Schur complement; Inverse; Schur's theorem; Schur decomposition; Pure mathematics; Schur product theorem; Matrix (chemical analysis); Generalized inverse; Combinatorics; Algebra over a field; Eigenvalues and eigenvectors; Geometry; 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":[0.001138896,0.001393995,0.000855557,0.001303512,0.0007126558,0.001685389,0.0008832588,0.0011202,0.0330578],"category_scores_gemma":[0.002146251,0.0003760011,0.001348373,0.001735185,0.001865513,0.006195315,0.00107632,0.002186483,0.003234851],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006202541,"about_ca_system_score_gemma":0.0002694694,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001076887,"about_ca_topic_score_gemma":0.001629327,"domain_scores_codex":[0.999482,0.0001615891,0.00002530399,0.0001267302,0.0001485501,0.00005584833],"domain_scores_gemma":[0.9993868,0.0002460927,0.00005358798,0.0001299034,0.0001446028,0.00003893217],"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":[0.00003297015,0.00004797239,0.0001081089,0.0002002137,0.00002101747,0.0001761926,0.0003684924,0.002126407,0.002382049,0.9520836,0.01727892,0.02517396],"study_design_scores_gemma":[0.00001139505,0.00003733044,0.0002171339,0.00004723454,0.00001097404,0.000184826,0.0001257858,0.002937636,0.001204145,0.9249461,0.07023663,0.00004083308],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04054844,0.01708519,0.6043299,0.01675018,0.01220113,0.00009083786,0.0008189055,0.0005761959,0.3075993],"genre_scores_gemma":[0.4242808,0.01679589,0.2230233,0.01447062,0.0120195,0.0001523165,0.00107482,0.0008929876,0.3072899],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.0330578,"threshold_uncertainty_score":0.1105894,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01575864768235986,"score_gpt":0.2405464335096509,"score_spread":0.224787785827291,"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."}}