{"id":"W2153622130","doi":"10.1016/j.laa.2009.11.028","title":"The resolvent average for positive semidefinite matrices","year":2009,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":25,"is_retracted":false,"has_abstract":false,"ca_institutions":"Okanagan University College; University of British Columbia, Okanagan Campus; University of British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Resolvent; Mathematics; Positive-definite matrix; Matrix (chemical analysis); Semidefinite programming; Pure mathematics; Resolvent formalism; Duality (order theory); Applied mathematics; Algebra over a field; Combinatorics; Eigenvalues and eigenvectors; Mathematical optimization","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":[0.003233297,0.001148973,0.001577795,0.001964676,0.0009544616,0.003260848,0.002081181,0.001750799,0.005462289],"category_scores_gemma":[0.01497252,0.0006104486,0.0008775991,0.001811417,0.003059794,0.008368882,0.001688671,0.002931067,0.0008205582],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001112981,"about_ca_system_score_gemma":0.00101641,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007643638,"about_ca_topic_score_gemma":0.0006498407,"domain_scores_codex":[0.9985059,0.0004555957,0.00008771387,0.0003830004,0.0004174426,0.0001503282],"domain_scores_gemma":[0.9934179,0.003741167,0.0007417923,0.0005065258,0.0009869651,0.0006057408],"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":[0.00004035268,0.00003228451,0.0001639691,0.00009324877,0.00002667409,0.00007648375,0.0001281152,0.01735865,0.001691363,0.968973,0.001997886,0.009417989],"study_design_scores_gemma":[0.000005853358,0.00002511372,0.0001533663,0.00001717609,0.00001153334,0.00007701784,0.00002836031,0.1503782,0.0007332967,0.8468378,0.001707088,0.00002530608],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0622982,0.003331159,0.9090636,0.00164146,0.0009803177,0.00002600152,0.0002327932,0.0002557407,0.02217068],"genre_scores_gemma":[0.8830093,0.004763904,0.08408654,0.0007679735,0.003067564,0.0001146744,0.0004412385,0.0003778977,0.02337098],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005462289,"threshold_uncertainty_score":0.01827317,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04493906377826337,"score_gpt":0.3394548678274785,"score_spread":0.2945158040492151,"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."}}