{"id":"https://openalex.org/W2004239922","doi":"https://doi.org/10.1002/(sici)1099-1506(199601/02)3:1<81::aid-nla74>3.0.co;2-9","title":"A Regularization Procedure for \u03a3n\u2212i=1fi(zj)xi =g(zj), (j = 1, 2, \u2026,n)","display_name":"A Regularization Procedure for \u03a3n\u2212i=1fi(zj)xi =g(zj), (j = 1, 2, \u2026,n)","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W2004239922","doi":"https://doi.org/10.1002/(sici)1099-1506(199601/02)3:1<81::aid-nla74>3.0.co;2-9","mag":"2004239922"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1099-1506(199601/02)3:1<81::aid-nla74>3.0.co;2-9","is_oa":true,"landing_page_url":"https://doi.org/10.1002/(sici)1099-1506(199601/02)3:1<81::aid-nla74>3.0.co;2-9","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/%28SICI%291099-1506%28199601/02%293%3A1%3C81%3A%3AAID-NLA74%3E3.0.CO%3B2-9","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_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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/%28SICI%291099-1506%28199601/02%293%3A1%3C81%3A%3AAID-NLA74%3E3.0.CO%3B2-9","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014642191","display_name":"L.Gr. Ixaru","orcid":null},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"L. Gr. Ixaru","raw_affiliation_strings":["Universiteit Gent, Vangroep toegepaste Wiskunde en Informatica Krijgslaan 281-S9, B9000 Gent, Belgium","Universiteit Gent, Vangroep toegepaste Wiskunde en Informatica Krijgslaan 281\u2010S9, B9000 Gent, Belgium"],"affiliations":[{"raw_affiliation_string":"Universiteit Gent, Vangroep toegepaste Wiskunde en Informatica Krijgslaan 281-S9, B9000 Gent, Belgium","institution_ids":["https://openalex.org/I32597200"]},{"raw_affiliation_string":"Universiteit Gent, Vangroep toegepaste Wiskunde en Informatica Krijgslaan 281\u2010S9, B9000 Gent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109967168","display_name":"H. De Meyer","orcid":null},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"H. De Meyer","raw_affiliation_strings":["Universiteit Gent, Vangroep toegepaste Wiskunde en Informatica Krijgslaan 281-S9, B9000 Gent, Belgium","Universiteit Gent, Vangroep toegepaste Wiskunde en Informatica Krijgslaan 281\u2010S9, B9000 Gent, Belgium"],"affiliations":[{"raw_affiliation_string":"Universiteit Gent, Vangroep toegepaste Wiskunde en Informatica Krijgslaan 281-S9, B9000 Gent, Belgium","institution_ids":["https://openalex.org/I32597200"]},{"raw_affiliation_string":"Universiteit Gent, Vangroep toegepaste Wiskunde en Informatica Krijgslaan 281\u2010S9, B9000 Gent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015508485","display_name":"G. M. Vanden Berghe Van Daele","orcid":null},"institutions":[{"id":"https://openalex.org/I32597200","display_name":"Ghent University","ror":"https://ror.org/00cv9y106","country_code":"BE","type":"education","lineage":["https://openalex.org/I32597200"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"G. M. Vanden Berghe Van Daele","raw_affiliation_strings":["Universiteit Gent, Vangroep toegepaste Wiskunde en Informatica Krijgslaan 281-S9, B9000 Gent, Belgium","Universiteit Gent, Vangroep toegepaste Wiskunde en Informatica Krijgslaan 281\u2010S9, B9000 Gent, Belgium"],"affiliations":[{"raw_affiliation_string":"Universiteit Gent, Vangroep toegepaste Wiskunde en Informatica Krijgslaan 281-S9, B9000 Gent, Belgium","institution_ids":["https://openalex.org/I32597200"]},{"raw_affiliation_string":"Universiteit Gent, Vangroep toegepaste Wiskunde en Informatica Krijgslaan 281\u2010S9, B9000 Gent, Belgium","institution_ids":["https://openalex.org/I32597200"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014642191"],"corresponding_institution_ids":["https://openalex.org/I32597200"],"apc_list":{"value":4430,"currency":"USD","value_usd":4430},"apc_paid":null,"fwci":1.5176,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.8135384,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"3","issue":"1","first_page":"81","last_page":"90"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9983000159263611,"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":0.9983000159263611,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9847999811172485,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.5194725394248962},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4941263496875763},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.38918420672416687},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.3291556239128113},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16467657685279846},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10098657011985779}],"concepts":[{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.5194725394248962},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4941263496875763},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.38918420672416687},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.3291556239128113},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16467657685279846},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10098657011985779}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/(sici)1099-1506(199601/02)3:1<81::aid-nla74>3.0.co;2-9","is_oa":true,"landing_page_url":"https://doi.org/10.1002/(sici)1099-1506(199601/02)3:1<81::aid-nla74>3.0.co;2-9","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/%28SICI%291099-1506%28199601/02%293%3A1%3C81%3A%3AAID-NLA74%3E3.0.CO%3B2-9","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_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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with Applications","raw_type":"journal-article"},{"id":"pmh:oai:archive.ugent.be:187057","is_oa":false,"landing_page_url":"https://biblio.ugent.be/publication/187057","pdf_url":null,"source":{"id":"https://openalex.org/S4306400478","display_name":"Ghent University Academic Bibliography (Ghent University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I32597200","host_organization_name":"Ghent University","host_organization_lineage":["https://openalex.org/I32597200"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS","raw_type":"journalArticle"}],"best_oa_location":{"id":"doi:10.1002/(sici)1099-1506(199601/02)3:1<81::aid-nla74>3.0.co;2-9","is_oa":true,"landing_page_url":"https://doi.org/10.1002/(sici)1099-1506(199601/02)3:1<81::aid-nla74>3.0.co;2-9","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1002/%28SICI%291099-1506%28199601/02%293%3A1%3C81%3A%3AAID-NLA74%3E3.0.CO%3B2-9","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_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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Numerical Linear Algebra with Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2004239922.pdf","grobid_xml":"https://content.openalex.org/works/W2004239922.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W79104108","https://openalex.org/W152012569","https://openalex.org/W429775894","https://openalex.org/W1573724743","https://openalex.org/W1971947347","https://openalex.org/W1981037401","https://openalex.org/W2000695226","https://openalex.org/W2006056941","https://openalex.org/W2044912690","https://openalex.org/W2047121664","https://openalex.org/W2057839060","https://openalex.org/W2078784814","https://openalex.org/W2081535739","https://openalex.org/W2132280507","https://openalex.org/W2140447202","https://openalex.org/W2146737022","https://openalex.org/W4302769929","https://openalex.org/W6701575323","https://openalex.org/W7018480365"],"related_works":["https://openalex.org/W4387497383","https://openalex.org/W2948807893","https://openalex.org/W2778153218","https://openalex.org/W2748952813","https://openalex.org/W1531601525","https://openalex.org/W2078814861","https://openalex.org/W2527526854","https://openalex.org/W1976181487","https://openalex.org/W1986764834","https://openalex.org/W657579294"],"abstract_inverted_index":{"A":[0],"regularization":[1],"procedure":[2],"for":[3,46],"linear":[4],"systems":[5],"of":[6],"the":[7,25],"type":[8],"fi(zj)xi":[9],"=":[10,13],"g(zj),":[11],"(j":[12],"1,":[14],"2,":[15],"\u2026,":[16,30],"n)":[17],"is":[18,21],"presented,":[19],"which":[20,47],"particularly":[22],"useful":[23],"in":[24],"case":[26],"when":[27],"z1,":[28],"z2,":[29],"zn":[31],"are":[32],"close":[33],"to":[34,55],"each":[35],"other.":[36],"The":[37],"associated":[38],"numerical":[39],"algorithm":[40],"was":[41,53],"tested":[42],"on":[43],"several":[44],"examples":[45],"analytic":[48],"solutions":[49],"do":[50],"exist":[51],"and":[52],"found":[54],"yield":[56],"highly":[57],"accurate":[58],"results.":[59]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
