{"id":"W2068784276","doi":"10.1002/pamm.200410310","title":"Factorized solution of the Lyapunov equation by using the hierarchical matrix arithmetic","year":2004,"lang":"en","type":"article","venue":"PAMM","topic":"Electromagnetic Scattering and Analysis","field":"Physics and Astronomy","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"St. Peter's Hospital","funders":"Deutsche Forschungsgemeinschaft","keywords":"Mathematics; Matrix (chemical analysis); Rank (graph theory); Applied mathematics; Sign (mathematics); Lyapunov equation; Lyapunov function; Sign function; Function (biology); Mathematical analysis; Combinatorics","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":[0.0005064373,0.0004379944,0.0003553092,0.0002691777,0.0001829366,0.000481111,0.000296299,0.0003013719,0.003381118],"category_scores_gemma":[0.00125188,0.0001400321,0.000342607,0.0002331832,0.0005626686,0.0007909999,0.0005320505,0.0004077336,0.0004663079],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003328435,"about_ca_system_score_gemma":0.0006085276,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001147884,"about_ca_topic_score_gemma":0.001062874,"domain_scores_codex":[0.9998533,0.00005357358,0.00000727524,0.00002087858,0.00004877525,0.00001620669],"domain_scores_gemma":[0.9997903,0.00007682812,0.00002701884,0.00002775438,0.00006671104,0.00001141622],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00009819236,0.00003274301,0.0002947442,0.0001163483,0.00002614619,0.000100937,0.0001453437,0.6586889,0.02977979,0.2407832,0.001348189,0.06858549],"study_design_scores_gemma":[0.000008699949,0.00004469695,0.00005530491,0.00000606226,0.000003208876,0.00001501708,0.00001248722,0.9755687,0.002808342,0.0203117,0.001159829,0.000006017648],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02534646,0.0000859861,0.9712009,0.0000684917,0.00003329361,0.00002366269,0.00001972835,0.0001125628,0.003108988],"genre_scores_gemma":[0.5049966,0.0002241474,0.4897132,0.00004686601,0.00004637632,0.0001023528,0.00006181012,0.00008298177,0.004725632],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003381118,"threshold_uncertainty_score":0.01131094,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01346554799014598,"score_gpt":0.2552872486514223,"score_spread":0.2418217006612763,"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."}}