{"id":"https://openalex.org/W1574500732","doi":"https://doi.org/10.1109/iscas.2003.1204944","title":"Sharper bounds for the zeros of polynomials","display_name":"Sharper bounds for the zeros of polynomials","publication_year":2003,"publication_date":"2003-11-21","ids":{"openalex":"https://openalex.org/W1574500732","doi":"https://doi.org/10.1109/iscas.2003.1204944","mag":"1574500732"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2003.1204944","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2003.1204944","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03.","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024426963","display_name":"M.A. Hasan","orcid":"https://orcid.org/0000-0003-4103-7945"},"institutions":[{"id":"https://openalex.org/I4210115145","display_name":"University of Minnesota, Duluth","ror":"https://ror.org/01hy4qx27","country_code":"US","type":"education","lineage":["https://openalex.org/I4210115145"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"M.A. Hasan","raw_affiliation_strings":["Department of Electrical & Computer Engineering, University of Minnesota, Duluth, USA","Dept of Electr. & Comput. Eng., Minnesota Univ., Duluth, MN, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical & Computer Engineering, University of Minnesota, Duluth, USA","institution_ids":["https://openalex.org/I4210115145"]},{"raw_affiliation_string":"Dept of Electr. & Comput. Eng., Minnesota Univ., Duluth, MN, USA","institution_ids":["https://openalex.org/I4210115145"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5024426963"],"corresponding_institution_ids":["https://openalex.org/I4210115145"],"apc_list":null,"apc_paid":null,"fwci":0.3546,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56137892,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"3","issue":null,"first_page":"III","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9958000183105469,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7621124982833862},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6991256475448608},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5548916459083557},{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.47939372062683105},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.458598256111145},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4399116039276123},{"id":"https://openalex.org/keywords/pole\u2013zero-plot","display_name":"Pole\u2013zero plot","score":0.4213334918022156},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38577568531036377},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3542460799217224},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2312481701374054},{"id":"https://openalex.org/keywords/transfer-function","display_name":"Transfer function","score":0.09292671084403992}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7621124982833862},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6991256475448608},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5548916459083557},{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.47939372062683105},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.458598256111145},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4399116039276123},{"id":"https://openalex.org/C43656286","wikidata":"https://www.wikidata.org/wiki/Q2100961","display_name":"Pole\u2013zero plot","level":3,"score":0.4213334918022156},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38577568531036377},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3542460799217224},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2312481701374054},{"id":"https://openalex.org/C81299745","wikidata":"https://www.wikidata.org/wiki/Q334269","display_name":"Transfer function","level":2,"score":0.09292671084403992},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2003.1204944","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2003.1204944","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1557452007","https://openalex.org/W1986166062","https://openalex.org/W1995931140","https://openalex.org/W2023413246","https://openalex.org/W2050408719","https://openalex.org/W2083317712","https://openalex.org/W2312327245","https://openalex.org/W3194394486","https://openalex.org/W4206495254","https://openalex.org/W6633361761","https://openalex.org/W6800672827"],"related_works":["https://openalex.org/W2165749285","https://openalex.org/W2474979212","https://openalex.org/W2562455930","https://openalex.org/W2001036795","https://openalex.org/W2154748900","https://openalex.org/W3093811938","https://openalex.org/W4390092784","https://openalex.org/W127450631","https://openalex.org/W2062626603","https://openalex.org/W1601247381"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"new":[3,28],"upper":[4,45],"bounds":[5,17,46,73,89,97],"for":[6,47,74,79],"the":[7,10,21,40,48,75,80],"magnitudes":[8,33],"of":[9,12,37,39,53,83],"zeros":[11,31,52,58],"polynomials":[13,55],"are":[14,18,35,59,69,90],"developed.":[15,61],"These":[16],"derived":[19],"from":[20],"Cauchy":[22],"classical":[23],"bound":[24],"applied":[25],"to":[26,71],"a":[27],"polynomial":[29],"having":[30],"with":[32,56,94],"that":[34],"powers":[36],"those":[38],"original":[41],"polynomial.":[42],"Lower":[43],"and":[44,50,78,92],"minimum":[49],"maximum":[51],"real":[54,57,84],"also":[60],"Additionally,":[62],"we":[63],"derive":[64,72],"Kantorovich":[65],"like":[66],"inequalities":[67],"which":[68],"used":[70],"condition":[76],"number":[77],"eigen":[81],"spread":[82],"symmetric":[85],"matrices.":[86],"The":[87],"proposed":[88],"tested":[91],"compared":[93],"many":[95],"existing":[96],"using":[98],"several":[99],"examples.":[100]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
