{"id":"W2592118566","doi":"10.3929/ethz-a-006654232","title":"On lattice reduction for polynomial matrices","year":2000,"lang":"en","type":"article","venue":"Repository for Publications and Research Data (ETH Zurich)","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Unimodular matrix; Mathematics; Lattice reduction; Diophantine equation; Matrix polynomial; Square-free polynomial; Monic polynomial; Computation; Lattice (music); Reduction (mathematics); Polynomial; Factorization; Discrete mathematics; Matrix similarity; Combinatorics; Orthogonal transformation; Algorithm; Mathematical analysis","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":[0.0008557396,0.0008946455,0.0009757376,0.001428673,0.001276302,0.002246463,0.001015608,0.0005609404,0.01559533],"category_scores_gemma":[0.003277396,0.0003831901,0.001071057,0.002115413,0.001914539,0.002820582,0.002724345,0.002467385,0.007524605],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001010165,"about_ca_system_score_gemma":0.001153385,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001858274,"about_ca_topic_score_gemma":0.002172365,"domain_scores_codex":[0.9986236,0.0003611179,0.00005499035,0.0001647655,0.0005920703,0.0002034914],"domain_scores_gemma":[0.9991938,0.0003214045,0.0000335121,0.0001848205,0.0002233988,0.00004296589],"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":[0.000108909,0.00008993059,0.0002272961,0.0001561393,0.00002126768,0.0001089005,0.0002724516,0.02126579,0.004260521,0.7945482,0.01192547,0.1670152],"study_design_scores_gemma":[0.00003035768,0.00003689676,0.00006818483,0.00002035438,0.000008990691,0.00007200269,0.00009004253,0.08553223,0.004223724,0.8912687,0.01862859,0.00002001524],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01147796,0.0002884973,0.9553356,0.0003633513,0.0001609917,0.0001273433,0.0001798824,0.001671066,0.03039525],"genre_scores_gemma":[0.266923,0.0007922053,0.6897125,0.0004219785,0.0003252924,0.000529983,0.001315772,0.002197279,0.03778204],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01559533,"threshold_uncertainty_score":0.05217165,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09094474155144434,"score_gpt":0.3722524469801585,"score_spread":0.2813077054287141,"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."}}