{"id":"https://openalex.org/W1977569788","doi":"https://doi.org/10.1007/s11590-012-0532-2","title":"Iterative roots of multidimensional operators and applications to dynamical systems","display_name":"Iterative roots of multidimensional operators and applications to dynamical systems","publication_year":2012,"publication_date":"2012-09-25","ids":{"openalex":"https://openalex.org/W1977569788","doi":"https://doi.org/10.1007/s11590-012-0532-2","mag":"1977569788"},"language":"en","primary_location":{"id":"doi:10.1007/s11590-012-0532-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-012-0532-2","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-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/A5108198077","display_name":"Pando Georgiev","orcid":null},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Pando Georgiev","raw_affiliation_strings":["University of Florida, Gainesville, FL, 32611, USA","University of Florida, Gainesville USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Florida, Gainesville, FL, 32611, USA","institution_ids":["https://openalex.org/I33213144"]},{"raw_affiliation_string":"University of Florida, Gainesville USA","institution_ids":["https://openalex.org/I33213144"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024775545","display_name":"Lars Kindermann","orcid":null},"institutions":[{"id":"https://openalex.org/I127251866","display_name":"Alfred-Wegener-Institut Helmholtz-Zentrum f\u00fcr Polar- und Meeresforschung","ror":"https://ror.org/032e6b942","country_code":"DE","type":"facility","lineage":["https://openalex.org/I127251866","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Lars Kindermann","raw_affiliation_strings":["Alfred Wegener Institute for Polar and Marine Research (AWI), 27568, Bremerhaven, Germany","Alfred\u2010Wegener\u2010Institute for Polar and Marine Research (AWI), Bremerhaven, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Alfred Wegener Institute for Polar and Marine Research (AWI), 27568, Bremerhaven, Germany","institution_ids":["https://openalex.org/I127251866"]},{"raw_affiliation_string":"Alfred\u2010Wegener\u2010Institute for Polar and Marine Research (AWI), Bremerhaven, Germany","institution_ids":["https://openalex.org/I127251866"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063808461","display_name":"P\u00e3nos M. Pardalos","orcid":"https://orcid.org/0000-0003-2824-101X"},"institutions":[{"id":"https://openalex.org/I33213144","display_name":"University of Florida","ror":"https://ror.org/02y3ad647","country_code":"US","type":"education","lineage":["https://openalex.org/I33213144"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Panos M. Pardalos","raw_affiliation_strings":["University of Florida, Gainesville, FL, 32611, USA","University of Florida, Gainesville USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Florida, Gainesville, FL, 32611, USA","institution_ids":["https://openalex.org/I33213144"]},{"raw_affiliation_string":"University of Florida, Gainesville USA","institution_ids":["https://openalex.org/I33213144"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5108198077"],"corresponding_institution_ids":["https://openalex.org/I33213144"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.06172097,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"7","issue":"8","first_page":"1701","last_page":"1710"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T13720","display_name":"Benford\u2019s Law and Fraud Detection","score":0.963699996471405,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.7158724665641785},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6637017130851746},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.6050638556480408},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5559393167495728},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5270293354988098},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5134507417678833},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5003688335418701},{"id":"https://openalex.org/keywords/square-root","display_name":"Square root","score":0.4910159111022949},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4769253134727478},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.42724689841270447},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4130282998085022},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3942358195781708},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3491783142089844},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.19601213932037354},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08442562818527222}],"concepts":[{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.7158724665641785},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6637017130851746},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.6050638556480408},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5559393167495728},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5270293354988098},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5134507417678833},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5003688335418701},{"id":"https://openalex.org/C11577676","wikidata":"https://www.wikidata.org/wiki/Q134237","display_name":"Square root","level":2,"score":0.4910159111022949},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4769253134727478},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.42724689841270447},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4130282998085022},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3942358195781708},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3491783142089844},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.19601213932037354},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08442562818527222},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11590-012-0532-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11590-012-0532-2","pdf_url":null,"source":{"id":"https://openalex.org/S12647387","display_name":"Optimization Letters","issn_l":"1862-4472","issn":["1862-4472","1862-4480"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Optimization Letters","raw_type":"journal-article"},{"id":"pmh:oai:epic.awi.de:31797","is_oa":false,"landing_page_url":"https://epic.awi.de/id/eprint/31797/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400378","display_name":"Helmholtz-Zentrum f\u00fcr Polar-und Meeresforschung (Alfred-Wegener-Institut)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799732068","host_organization_name":"Royal Prince Alfred Hospital","host_organization_lineage":["https://openalex.org/I2799732068"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W648877863","https://openalex.org/W1481262846","https://openalex.org/W1526746424","https://openalex.org/W1531724333","https://openalex.org/W1576126224","https://openalex.org/W1595749660","https://openalex.org/W1749659338","https://openalex.org/W1946179202","https://openalex.org/W2009064211","https://openalex.org/W2028710306","https://openalex.org/W2064803738","https://openalex.org/W2071038722","https://openalex.org/W2108075187","https://openalex.org/W2117060314","https://openalex.org/W2330548796","https://openalex.org/W2502718168","https://openalex.org/W2808650095","https://openalex.org/W3101644190","https://openalex.org/W3118577122","https://openalex.org/W4211071348"],"related_works":["https://openalex.org/W4250831671","https://openalex.org/W2230606337","https://openalex.org/W1585725267","https://openalex.org/W2089869689","https://openalex.org/W4388681848","https://openalex.org/W2078952919","https://openalex.org/W2945666329","https://openalex.org/W2617651062","https://openalex.org/W2330535098","https://openalex.org/W2377513064"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}