{"id":"https://openalex.org/W97087853","doi":"https://doi.org/10.1007/bf02241274","title":"A criterion for the positivity of rational cubicC 2-spline interpolants","display_name":"A criterion for the positivity of rational cubicC 2-spline interpolants","publication_year":1990,"publication_date":"1990-12-01","ids":{"openalex":"https://openalex.org/W97087853","doi":"https://doi.org/10.1007/bf02241274","mag":"97087853"},"language":"en","primary_location":{"id":"doi:10.1007/bf02241274","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02241274","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","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/A5103085009","display_name":"Jochen Schmidt","orcid":"https://orcid.org/0000-0002-2950-7185"},"institutions":[{"id":"https://openalex.org/I78650965","display_name":"TU Dresden","ror":"https://ror.org/042aqky30","country_code":"DE","type":"education","lineage":["https://openalex.org/I78650965"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"J. W. Schmidt","raw_affiliation_strings":["Department of Mathematics, Technical University of Dresden, Mommsenstr. 13, 8027, Dresden, German Democratic Republic","Department of Mathematics, Technical University of Dresden, Dresden, German Democratic Republic"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Technical University of Dresden, Mommsenstr. 13, 8027, Dresden, German Democratic Republic","institution_ids":["https://openalex.org/I78650965"]},{"raw_affiliation_string":"Department of Mathematics, Technical University of Dresden, Dresden, German Democratic Republic","institution_ids":["https://openalex.org/I78650965"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102985909","display_name":"Motoki Sakai","orcid":"https://orcid.org/0000-0002-7438-8824"},"institutions":[{"id":"https://openalex.org/I107139324","display_name":"Kagoshima University","ror":"https://ror.org/03ss88z23","country_code":"JP","type":"education","lineage":["https://openalex.org/I107139324"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"M. Sakai","raw_affiliation_strings":["Department of Mathematics Faculty of Science, Kagoshima University, 890, Kagoshima, Japan","Department of Mathematics, Faculty of Science Kagoshima University, Kagoshima, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Faculty of Science, Kagoshima University, 890, Kagoshima, Japan","institution_ids":["https://openalex.org/I107139324"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science Kagoshima University, Kagoshima, Japan","institution_ids":["https://openalex.org/I107139324"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103085009"],"corresponding_institution_ids":["https://openalex.org/I78650965"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.00937335,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"44","issue":"4","first_page":"365","last_page":"368"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.942300021648407,"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/T10188","display_name":"Advanced machining processes and optimization","score":0.9215999841690063,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rationality","display_name":"Rationality","score":0.7683068513870239},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7032272815704346},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5420892834663391},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.5321518778800964},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4303207993507385},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.37708380818367004},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.34751462936401367},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1841135025024414},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.08784288167953491},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07388845086097717},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.07095593214035034},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.05790194869041443}],"concepts":[{"id":"https://openalex.org/C201717286","wikidata":"https://www.wikidata.org/wiki/Q938185","display_name":"Rationality","level":2,"score":0.7683068513870239},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7032272815704346},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5420892834663391},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.5321518778800964},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4303207993507385},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.37708380818367004},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.34751462936401367},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1841135025024414},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.08784288167953491},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07388845086097717},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.07095593214035034},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.05790194869041443},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02241274","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02241274","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5299999713897705},{"display_name":"Climate action","id":"https://metadata.un.org/sdg/13","score":0.5}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W16099810","https://openalex.org/W1971657634","https://openalex.org/W1990976137","https://openalex.org/W2002866059","https://openalex.org/W2043610583","https://openalex.org/W2053142219","https://openalex.org/W2085569878","https://openalex.org/W2085865666","https://openalex.org/W2093607296"],"related_works":["https://openalex.org/W4388260134","https://openalex.org/W2351341309","https://openalex.org/W2359095791","https://openalex.org/W2364973163","https://openalex.org/W2370332065","https://openalex.org/W2375421581","https://openalex.org/W2352025053","https://openalex.org/W2386975405","https://openalex.org/W2501307252","https://openalex.org/W2360169511"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}