{"id":"W3027395381","doi":"10.1137/20m1364485","title":"A Rational Even-IRA Algorithm for the Solution of $T$-Even Polynomial Eigenvalue Problems","year":2021,"lang":"en","type":"preprint","venue":"SIAM Journal on Matrix Analysis and Applications","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"York University","keywords":"Krylov subspace; Matrix polynomial; Eigenvalues and eigenvectors; Arnoldi iteration; Mathematics; Polynomial; Linearization; Generalized minimal residual method; Block (permutation group theory); Divide-and-conquer eigenvalue algorithm; Applied mathematics; Skew; Algorithm; Iterative method; Computer science; Combinatorics; Mathematical analysis; Nonlinear system","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0005124764,0.0007402745,0.000790146,0.0006319688,0.0004078028,0.0006943084,0.001059432,0.0005872381,0.008852621],"category_scores_gemma":[0.001597643,0.0003568881,0.0006599989,0.0004905026,0.0006244197,0.0008751162,0.001401296,0.00132759,0.004229464],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003373495,"about_ca_system_score_gemma":0.001043615,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00153895,"about_ca_topic_score_gemma":0.002465744,"domain_scores_codex":[0.9996234,0.00008960274,0.00001928632,0.00006569608,0.0001356911,0.00006618268],"domain_scores_gemma":[0.9995906,0.0001605267,0.00003574456,0.0000898805,0.00009081198,0.00003253313],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"design_other","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.0003153786,0.000188212,0.0009574553,0.0004589465,0.00007708855,0.0002762598,0.0003203558,0.2929879,0.02129932,0.1290113,0.01089473,0.543213],"study_design_scores_gemma":[0.00003873093,0.00004436654,0.00008302376,0.0000126196,0.000006883828,0.00006628677,0.0000374407,0.9681752,0.002895527,0.02301675,0.005607703,0.0000153891],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.003618625,0.00007399566,0.9935485,0.00004373541,0.00002316384,0.00002775224,0.00003004019,0.0008607997,0.001773374],"genre_scores_gemma":[0.06683179,0.0001269517,0.9294865,0.00006815095,0.00003128557,0.0001150795,0.0002293718,0.0005674057,0.002543467],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.008852621,"threshold_uncertainty_score":0.02961498,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01656604732290797,"score_gpt":0.285140968863216,"score_spread":0.2685749215403081,"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."}}