{"id":"https://openalex.org/W2055386833","doi":"https://doi.org/10.1007/bf00248266","title":"Best interpolation in a strip II: Reduction to unconstrained convex optimization","display_name":"Best interpolation in a strip II: Reduction to unconstrained convex optimization","publication_year":1996,"publication_date":"1996-05-01","ids":{"openalex":"https://openalex.org/W2055386833","doi":"https://doi.org/10.1007/bf00248266","mag":"2055386833"},"language":"en","primary_location":{"id":"doi:10.1007/bf00248266","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00248266","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/2027.42/44775","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083269925","display_name":"Asen L. Dontchev","orcid":"https://orcid.org/0000-0003-3160-7828"},"institutions":[{"id":"https://openalex.org/I4210159850","display_name":"Annual Reviews","ror":"https://ror.org/05r2g1b90","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210159850"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Asen L. Dontchev","raw_affiliation_strings":["Mathematical Review, 416 Fourth Street, 48107, Ann Arbor, MI, USA","Mathematical Review, Ann Arbor, USA"],"affiliations":[{"raw_affiliation_string":"Mathematical Review, 416 Fourth Street, 48107, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I4210159850"]},{"raw_affiliation_string":"Mathematical Review, Ann Arbor, USA","institution_ids":["https://openalex.org/I4210159850"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078022728","display_name":"Ilya Kolmanovsky","orcid":"https://orcid.org/0000-0002-7225-4160"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ilya Kolmanovsky","raw_affiliation_strings":["Department of Aerospace Engineering, The University of Michigan, 48109-2118, Ann Arbor, MI, USA","Dept. of Aerospace Eng., the University of Michigan, Ann Arbor, USA"],"affiliations":[{"raw_affiliation_string":"Department of Aerospace Engineering, The University of Michigan, 48109-2118, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]},{"raw_affiliation_string":"Dept. of Aerospace Eng., the University of Michigan, Ann Arbor, USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5083269925"],"corresponding_institution_ids":["https://openalex.org/I4210159850"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.20788404,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"5","issue":"3","first_page":"233","last_page":"251"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.9987000226974487,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.9987000226974487,"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/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9973999857902527,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.996399998664856,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8730980157852173},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5681214928627014},{"id":"https://openalex.org/keywords/convex-function","display_name":"Convex function","score":0.5538604259490967},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5123096704483032},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.49948978424072266},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.4907601773738861},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.48687639832496643},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4624306261539459},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.44497644901275635},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.42932701110839844},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.41255950927734375},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.41129884123802185},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37574517726898193},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3582690954208374},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.28870853781700134},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09983086585998535}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8730980157852173},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5681214928627014},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.5538604259490967},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5123096704483032},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.49948978424072266},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.4907601773738861},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.48687639832496643},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4624306261539459},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.44497644901275635},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.42932701110839844},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.41255950927734375},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.41129884123802185},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37574517726898193},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3582690954208374},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.28870853781700134},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09983086585998535},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf00248266","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00248266","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:deepblue.lib.umich.edu:2027.42/44775","is_oa":true,"landing_page_url":"http://hdl.handle.net/2027.42/44775>","pdf_url":"https://hdl.handle.net/2027.42/44775","source":{"id":"https://openalex.org/S4306400393","display_name":"Deep Blue (University of Michigan)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I27837315","host_organization_name":"University of Michigan","host_organization_lineage":["https://openalex.org/I27837315"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:deepblue.lib.umich.edu:2027.42/44775","is_oa":true,"landing_page_url":"http://hdl.handle.net/2027.42/44775>","pdf_url":"https://hdl.handle.net/2027.42/44775","source":{"id":"https://openalex.org/S4306400393","display_name":"Deep Blue (University of Michigan)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I27837315","host_organization_name":"University of Michigan","host_organization_lineage":["https://openalex.org/I27837315"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2055386833.pdf"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W1975466563","https://openalex.org/W1979152443","https://openalex.org/W2002866059","https://openalex.org/W2007632272","https://openalex.org/W2019651381","https://openalex.org/W2020084878","https://openalex.org/W2020401959","https://openalex.org/W2043610583","https://openalex.org/W2047668748","https://openalex.org/W2061872779","https://openalex.org/W2079278943","https://openalex.org/W2084167786","https://openalex.org/W2087236370","https://openalex.org/W2109085866","https://openalex.org/W2115410170","https://openalex.org/W2127693013"],"related_works":["https://openalex.org/W3151522584","https://openalex.org/W1497123311","https://openalex.org/W2551845725","https://openalex.org/W1985769769","https://openalex.org/W3093584180","https://openalex.org/W2090386787","https://openalex.org/W2045588195","https://openalex.org/W2187449906","https://openalex.org/W3011190762","https://openalex.org/W2962818859"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}