{"id":"W2961394620","doi":"10.1007/s00006-019-0980-1","title":"Consistency of Split Quaternion Matrix Equations $$AX^{\\star }-XB=CY+D$$ and $$X-AX^\\star B=CY+D$$","year":2019,"lang":"en","type":"article","venue":"Advances in Applied Clifford Algebras","topic":"Algebraic and Geometric Analysis","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Manitoba","funders":"Young Scientists Fund; Fundo para o Desenvolvimento das Ciências e da Tecnologia","keywords":"Quaternion; Mathematics; Star (game theory); Matrix (chemical analysis); Conjugate; Consistency (knowledge bases); Pure mathematics; Mathematical analysis; Discrete mathematics; Geometry","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":[0.001822114,0.0005371571,0.0007916021,0.001137622,0.001583274,0.003164623,0.001594331,0.001511105,0.008975231],"category_scores_gemma":[0.005843503,0.0004901923,0.0007622525,0.0008966825,0.003369503,0.004999082,0.001534189,0.002594997,0.001237479],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008805211,"about_ca_system_score_gemma":0.001339694,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001818888,"about_ca_topic_score_gemma":0.001232213,"domain_scores_codex":[0.9986216,0.0003476011,0.00008464316,0.0003294795,0.0004206318,0.0001961215],"domain_scores_gemma":[0.9978714,0.0005904677,0.0003511441,0.0002902882,0.0006491498,0.0002475572],"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":[0.00003492906,0.00001388369,0.0001814206,0.00001311873,0.000005265871,0.0000335518,0.0001264578,0.0003118114,0.0005846063,0.995346,0.001169422,0.002179529],"study_design_scores_gemma":[0.00002641455,0.00001908222,0.0003011134,0.000006887558,0.000005286629,0.00007224356,0.0000914371,0.005540137,0.0008228382,0.9914176,0.001680885,0.00001609382],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6104766,0.001293361,0.2327755,0.004650501,0.001815939,0.0001060694,0.0006969922,0.000411125,0.1477739],"genre_scores_gemma":[0.9539824,0.0003685431,0.0229032,0.001110614,0.000544982,0.00006763999,0.0006942735,0.000272063,0.0200563],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.008975231,"threshold_uncertainty_score":0.03002518,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01601307780690484,"score_gpt":0.3039187611875591,"score_spread":0.2879056833806543,"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."}}