The Quality of Zero Bounds for Complex Polynomials
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{"title"=>"The quality of zero bounds for complex polynomials", "type"=>"journal", "authors"=>[{"first_name"=>"Matthias", "last_name"=>"de hmer", "scopus_author_id"=>"55312215200"}, {"first_name"=>"Yury Robertovich", "last_name"=>"Tsoy", "scopus_author_id"=>"10243118700"}], "year"=>2012, "source"=>"PLoS ONE", "identifiers"=>{"pmid"=>"22808042", "scopus"=>"2-s2.0-84863759116", "issn"=>"19326203", "doi"=>"10.1371/journal.pone.0039537", "isbn"=>"1932-6203 (Electronic)\\r1932-6203 (Linking)", "sgr"=>"84863759116", "pui"=>"365232283"}, "id"=>"7e2ee6a3-3408-3f45-9db1-abf569ed4fba", "abstract"=>"In this paper, we evaluate the quality of zero bounds on the moduli of univariate complex polynomials. We select classical and recently developed bounds and evaluate their quality by using several sets of complex polynomials. As the quality of priori bounds has not been investigated thoroughly, our results can be useful to find optimal bounds to locate the zeros of complex polynomials.", "link"=>"http://www.mendeley.com/research/quality-zero-bounds-complex-polynomials", "reader_count"=>2, "reader_count_by_academic_status"=>{"Researcher"=>1, "Student > Master"=>1}, "reader_count_by_user_role"=>{"Researcher"=>1, "Student > Master"=>1}, "reader_count_by_subject_area"=>{"Mathematics"=>1, "Agricultural and Biological Sciences"=>1}, "reader_count_by_subdiscipline"=>{"Agricultural and Biological Sciences"=>{"Agricultural and Biological Sciences"=>1}, "Mathematics"=>{"Mathematics"=>1}}, "group_count"=>0}

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  • {"unique-ip"=>"10", "full-text"=>"10", "pdf"=>"2", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2020", "month"=>"10"}
  • {"unique-ip"=>"2", "full-text"=>"1", "pdf"=>"1", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2020", "month"=>"11"}
  • {"unique-ip"=>"4", "full-text"=>"2", "pdf"=>"2", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2020", "month"=>"12"}
  • {"unique-ip"=>"3", "full-text"=>"4", "pdf"=>"0", "scanned-summary"=>"0", "scanned-page-browse"=>"0", "figure"=>"0", "supp-data"=>"0", "cited-by"=>"0", "year"=>"2021", "month"=>"1"}

Relative Metric

{"start_date"=>"2012-01-01T00:00:00Z", "end_date"=>"2012-12-31T00:00:00Z", "subject_areas"=>[{"subject_area"=>"/Engineering and technology", "average_usage"=>[308, 500, 607, 700, 782, 876, 957, 1039, 1128, 1214, 1290, 1365, 1431, 1496, 1560, 1634, 1695, 1772, 1839, 1908, 1972, 2043, 2106, 2179, 2246]}, {"subject_area"=>"/Engineering and technology/Control engineering", "average_usage"=>[372, 517, 630, 691, 765, 837, 919, 978, 1064, 1132, 1190, 1246, 1293, 1323, 1372, 1410, 1454, 1508, 1565, 1619, 1658, 1705, 1760, 1817, 1875, 1933]}, {"subject_area"=>"/Physical sciences", "average_usage"=>[304, 506, 616, 712, 799, 879, 968, 1052, 1134, 1212, 1284, 1357, 1427, 1494, 1557, 1621, 1689, 1756, 1823, 1883, 1944, 1997, 2056, 2118, 2171]}, {"subject_area"=>"/Physical sciences/Mathematics", "average_usage"=>[325, 522, 627, 718, 804, 884, 969, 1052, 1131, 1207, 1277, 1346, 1415, 1478, 1542, 1605, 1663, 1723, 1776, 1839, 1895, 1955, 2008, 2066, 2123]}]}
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