{"id":"https://openalex.org/W3142964373","doi":"https://doi.org/10.1002/nla.2378","title":"An algorithm for two\u2010variable rational interpolation suitable for matrix manipulations with the evaluation\u2013interpolation method","display_name":"An algorithm for two\u2010variable rational interpolation suitable for matrix manipulations with the evaluation\u2013interpolation method","publication_year":2021,"publication_date":"2021-03-31","ids":{"openalex":"https://openalex.org/W3142964373","doi":"https://doi.org/10.1002/nla.2378","mag":"3142964373"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/nla.2378","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5066923801","display_name":"K. G. Hadjifotinou","orcid":"https://orcid.org/0000-0002-2787-6323"},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Katerina G. Hadjifotinou","raw_affiliation_strings":["Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, Greece"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, Greece","institution_ids":["https://openalex.org/I21370196"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066594965","display_name":"Nicholas P. Karampetakis","orcid":"https://orcid.org/0000-0002-4578-5521"},"institutions":[{"id":"https://openalex.org/I21370196","display_name":"Aristotle University of Thessaloniki","ror":"https://ror.org/02j61yw88","country_code":"GR","type":"education","lineage":["https://openalex.org/I21370196"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Nicholas P. Karampetakis","raw_affiliation_strings":["Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, Greece"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Aristotle University of Thessaloniki, Thessaloniki, Greece","institution_ids":["https://openalex.org/I21370196"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5066923801"],"corresponding_institution_ids":["https://openalex.org/I21370196"],"apc_list":{"value":4430,"currency":"USD","value_usd":4430,"provenance":"doaj"},"apc_paid":null,"fwci":0.1,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.265818,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":57,"max":66},"biblio":{"volume":"28","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9997,"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"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9997,"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"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9905,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9818,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/interpolation","display_name":"Interpolation","score":0.7807492},{"id":"https://openalex.org/keywords/inverse-quadratic-interpolation","display_name":"Inverse quadratic interpolation","score":0.63116145},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5384121},{"id":"https://openalex.org/keywords/trigonometric-interpolation","display_name":"Trigonometric interpolation","score":0.44061524},{"id":"https://openalex.org/keywords/birkhoff-interpolation","display_name":"Birkhoff interpolation","score":0.4218565}],"concepts":[{"id":"https://openalex.org/C137800194","wikidata":"https://www.wikidata.org/wiki/Q11713455","display_name":"Interpolation (computer graphics)","level":3,"score":0.7807492},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7676533},{"id":"https://openalex.org/C88080468","wikidata":"https://www.wikidata.org/wiki/Q637347","display_name":"Polynomial interpolation","level":4,"score":0.6460481},{"id":"https://openalex.org/C143542097","wikidata":"https://www.wikidata.org/wiki/Q3153554","display_name":"Inverse quadratic interpolation","level":5,"score":0.63116145},{"id":"https://openalex.org/C207214200","wikidata":"https://www.wikidata.org/wiki/Q4202129","display_name":"Nearest-neighbor interpolation","level":4,"score":0.5913843},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.57049704},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5384121},{"id":"https://openalex.org/C119768884","wikidata":"https://www.wikidata.org/wiki/Q7597108","display_name":"Stairstep interpolation","level":4,"score":0.53157437},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5217836},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45781815},{"id":"https://openalex.org/C188325010","wikidata":"https://www.wikidata.org/wiki/Q861176","display_name":"Trilinear interpolation","level":4,"score":0.4484166},{"id":"https://openalex.org/C28537468","wikidata":"https://www.wikidata.org/wiki/Q464356","display_name":"Trigonometric interpolation","level":5,"score":0.44061524},{"id":"https://openalex.org/C205280321","wikidata":"https://www.wikidata.org/wiki/Q3800523","display_name":"Birkhoff interpolation","level":5,"score":0.4218565},{"id":"https://openalex.org/C203332170","wikidata":"https://www.wikidata.org/wiki/Q6334079","display_name":"Multivariate interpolation","level":3,"score":0.41620424},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.38325736},{"id":"https://openalex.org/C31447003","wikidata":"https://www.wikidata.org/wiki/Q545002","display_name":"Spline interpolation","level":3,"score":0.37434164},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1866087},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14041457},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.104548246},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.060989916},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1002/nla.2378","pdf_url":null,"source":{"id":"https://openalex.org/S60324941","display_name":"Numerical Linear Algebra with Applications","issn_l":"1070-5325","issn":["1070-5325","1099-1506"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":14,"referenced_works":["https://openalex.org/W1963628831","https://openalex.org/W2003368653","https://openalex.org/W2021311647","https://openalex.org/W2045266717","https://openalex.org/W2054260755","https://openalex.org/W2054643050","https://openalex.org/W2062080115","https://openalex.org/W2128586796","https://openalex.org/W2743812736","https://openalex.org/W2890412536","https://openalex.org/W2980428466","https://openalex.org/W3151266255","https://openalex.org/W4244681853","https://openalex.org/W59751275"],"related_works":["https://openalex.org/W3204309326","https://openalex.org/W3104333641","https://openalex.org/W2384381677","https://openalex.org/W2139049153","https://openalex.org/W2074319569","https://openalex.org/W2039554146","https://openalex.org/W2017251455","https://openalex.org/W200003053","https://openalex.org/W1987581550","https://openalex.org/W1489242104"],"abstract_inverted_index":{"Abstract":[0],"An":[1],"algorithm":[2,10,75,125],"for":[3,13,39,79,130],"two\u2010variable":[4],"rational":[5,29,98,137],"interpolation":[6,14,21,54,138],"is":[7,11,45,120],"developed.":[8],"The":[9,74],"suitable":[12],"cases":[15],"where":[16],"neither":[17],"the":[18,24,28,40,49,53,60,82,91,110,117,124],"number":[19,51],"of":[20,27,52,81,93,100],"points":[22],"nor":[23],"final":[25],"degrees":[26,133],"interpolant":[30],"are":[31,63,105],"known":[32],"a":[33,36,94],"priori.":[34],"Instead,":[35],"maximum":[37],"degree":[38],"interpolant's":[41],"numerator":[42],"and":[43,71],"denominator":[44],"assumed.":[46],"By":[47],"testing":[48],"condition":[50],"system's":[55],"matrix":[56,86,95],"at":[57],"each":[58],"step,":[59],"necessary":[61],"reductions":[62],"made":[64],"in":[65,85],"order":[66],"to":[67],"cope":[68],"with":[69,96],"nonnormality":[70],"unattainability":[72],"occasions.":[73],"can":[76],"be":[77],"used":[78],"applications":[80],"Evaluation\u2013Interpolation":[83],"technique":[84],"manipulations,":[87],"such":[88],"as":[89],"finding":[90],"inverse":[92],"elements":[97],"functions":[99],"two":[101],"variables.":[102],"Symbolic":[103],"calculations":[104],"completely":[106],"avoided,":[107],"thus":[108],"keeping":[109],"execution":[111],"time":[112],"very":[113],"low":[114],"even":[115],"if":[116],"system":[118],"size":[119],"large.":[121],"Most":[122],"importantly,":[123],"achieves":[126],"accurate":[127],"function":[128],"recoveries":[129],"greater":[131],"polynomial":[132],"than":[134],"other":[135],"bivariate":[136],"methods.":[139]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3142964373","counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-01-23T01:30:13.112585","created_date":"2021-04-13"}