{"id":"https://openalex.org/W2055064587","doi":"https://doi.org/10.1137/120893380","title":"All Solutions of a Bitangential Interpolation Problem that Includes Boundary Points","display_name":"All Solutions of a Bitangential Interpolation Problem that Includes Boundary Points","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2055064587","doi":"https://doi.org/10.1137/120893380","mag":"2055064587"},"language":"en","primary_location":{"id":"doi:10.1137/120893380","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120893380","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","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/A5049313360","display_name":"Jovan Stefanovski","orcid":"https://orcid.org/0000-0002-3714-1937"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Jovan Stefanovski","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5049313360"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1871,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.87748571,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"51","issue":"6","first_page":"4387","last_page":"4413"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9994999766349792,"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":0.9994999766349792,"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/T12589","display_name":"Differential Equations and Boundary Problems","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/mathematics","display_name":"Mathematics","score":0.8643367290496826},{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation (computer graphics)","score":0.8494940996170044},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.7287952303886414},{"id":"https://openalex.org/keywords/birkhoff-interpolation","display_name":"Birkhoff interpolation","score":0.6546217799186707},{"id":"https://openalex.org/keywords/trilinear-interpolation","display_name":"Trilinear interpolation","score":0.5696983337402344},{"id":"https://openalex.org/keywords/inverse-quadratic-interpolation","display_name":"Inverse quadratic interpolation","score":0.5172355771064758},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.49848008155822754},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4814566969871521},{"id":"https://openalex.org/keywords/linear-interpolation","display_name":"Linear interpolation","score":0.4687172472476959},{"id":"https://openalex.org/keywords/nearest-neighbor-interpolation","display_name":"Nearest-neighbor interpolation","score":0.432539701461792},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.392886757850647},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39089834690093994},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10095825791358948},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06091606616973877},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.04678088426589966}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8643367290496826},{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.8494940996170044},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.7287952303886414},{"id":"https://openalex.org/C205280321","wikidata":"https://www.wikidata.org/wiki/Q3800523","display_name":"Birkhoff interpolation","level":5,"score":0.6546217799186707},{"id":"https://openalex.org/C188325010","wikidata":"https://www.wikidata.org/wiki/Q861176","display_name":"Trilinear interpolation","level":4,"score":0.5696983337402344},{"id":"https://openalex.org/C143542097","wikidata":"https://www.wikidata.org/wiki/Q3153554","display_name":"Inverse quadratic interpolation","level":5,"score":0.5172355771064758},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.49848008155822754},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4814566969871521},{"id":"https://openalex.org/C171836373","wikidata":"https://www.wikidata.org/wiki/Q2266329","display_name":"Linear interpolation","level":3,"score":0.4687172472476959},{"id":"https://openalex.org/C207214200","wikidata":"https://www.wikidata.org/wiki/Q4202129","display_name":"Nearest-neighbor interpolation","level":4,"score":0.432539701461792},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.392886757850647},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39089834690093994},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10095825791358948},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06091606616973877},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.04678088426589966},{"id":"https://openalex.org/C104114177","wikidata":"https://www.wikidata.org/wiki/Q79782","display_name":"Motion (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/120893380","is_oa":false,"landing_page_url":"https://doi.org/10.1137/120893380","pdf_url":null,"source":{"id":"https://openalex.org/S897311980","display_name":"SIAM Journal on Control and Optimization","issn_l":"0363-0129","issn":["0363-0129","1095-7138"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Control and Optimization","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1504633463","https://openalex.org/W1564127306","https://openalex.org/W1965237235","https://openalex.org/W2000912244","https://openalex.org/W2009082902","https://openalex.org/W2013022247","https://openalex.org/W2013348732","https://openalex.org/W2036920583","https://openalex.org/W2052747981","https://openalex.org/W2059882658","https://openalex.org/W2159520972","https://openalex.org/W2160197400"],"related_works":["https://openalex.org/W2074319569","https://openalex.org/W1489242104","https://openalex.org/W2163356401","https://openalex.org/W2366182368","https://openalex.org/W4386147800","https://openalex.org/W2326086556","https://openalex.org/W2358123980","https://openalex.org/W2363879810","https://openalex.org/W2105475381","https://openalex.org/W3147329649"],"abstract_inverted_index":{"All":[0],"solutions":[1],"of":[2],"a":[3,15,36],"matrix":[4],"interpolation":[5,10,33],"problem":[6,34],"with":[7],"purely":[8],"imaginary":[9],"points":[11],"are":[12,24,41],"given,":[13],"by":[14],"descriptor":[16],"system":[17],"realization,":[18],"if":[19],"necessary":[20],"and":[21],"sufficient":[22],"conditions":[23],"satisfied.":[25],"The":[26],"first":[27],"step":[28],"is":[29],"to":[30,35],"reduce":[31],"the":[32,44],"minimal":[37],"realization.":[38],"No":[39],"assumptions":[40],"needed":[42],"in":[43],"paper.":[45]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}