{"id":"W2024703178","doi":"10.1016/j.laa.2005.03.025","title":"Rectangular submatrices of inverse <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" altimg=\"si1.gif\" overflow=\"scroll\"><mml:mrow><mml:mi mathvariant=\"script\">M</mml:mi></mml:mrow></mml:math>-matrices and the decomposition of a positive matrix as a sum","year":2005,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":11,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Inverse; Mathematics; Matrix (chemical analysis); Combinatorics; Block matrix; Geometry; Chemistry; 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":[0.0003443463,0.0008657628,0.0004806249,0.0008031279,0.0004951454,0.001282992,0.0005273937,0.0004115222,0.05632664],"category_scores_gemma":[0.001997139,0.0002388888,0.0005653794,0.0009406861,0.0009114832,0.001123909,0.000836539,0.001224611,0.01501138],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002854012,"about_ca_system_score_gemma":0.0006562365,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000786119,"about_ca_topic_score_gemma":0.001232545,"domain_scores_codex":[0.9995885,0.00006228062,0.00002544075,0.0001003008,0.0001310581,0.00009225622],"domain_scores_gemma":[0.999317,0.0001440117,0.00007634071,0.0001711818,0.0002226226,0.00006875603],"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":[0.0004052427,0.0001582051,0.0009268777,0.0004219067,0.00006308101,0.0004904602,0.0003938332,0.006384846,0.06117254,0.6624207,0.06836299,0.1987993],"study_design_scores_gemma":[0.0001025017,0.0003522284,0.006041049,0.0001986307,0.00007354083,0.001701763,0.0007885608,0.04659259,0.08137566,0.6304131,0.2322123,0.0001479847],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1188767,0.0008411081,0.6611413,0.001141382,0.001691194,0.0002874794,0.005120767,0.002099405,0.2088006],"genre_scores_gemma":[0.5694519,0.0009819099,0.2486472,0.0006645548,0.0005489104,0.0003768974,0.005898023,0.001614118,0.1718165],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.05632664,"threshold_uncertainty_score":0.1884314,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008998772410100555,"score_gpt":0.2410946682554067,"score_spread":0.2320958958453061,"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."}}