{"id":"https://openalex.org/W1992949322","doi":"https://doi.org/10.1137/05062873","title":"A Perturbation Analysis for Nonlinear Selfadjoint Operator Equations","display_name":"A Perturbation Analysis for Nonlinear Selfadjoint Operator Equations","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1992949322","doi":"https://doi.org/10.1137/05062873","mag":"1992949322"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/05062873","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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":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/A5087614381","display_name":"Andr\u00e9 C. M. Ran","orcid":"https://orcid.org/0000-0001-9868-8605"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. C. M. Ran","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015420444","display_name":"Martine Reurings","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. C. B. Reurings","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5013302843","display_name":"Leiba Rodman","orcid":"https://orcid.org/0000-0002-6722-5154"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"L. Rodman","raw_affiliation_strings":[],"affiliations":[]}],"institution_assertions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.303,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":23,"citation_normalized_percentile":{"value":0.858792,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":89},"biblio":{"volume":"28","issue":"1","first_page":"89","last_page":"104"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9993,"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":0.9993,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9974,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9971,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.6504009},{"id":"https://openalex.org/keywords/linear-map","display_name":"Linear map","score":0.4663538}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.83067703},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.7437857},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.6504009},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.62008727},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5496687},{"id":"https://openalex.org/C65630602","wikidata":"https://www.wikidata.org/wiki/Q2278680","display_name":"Shift operator","level":4,"score":0.52328783},{"id":"https://openalex.org/C49766605","wikidata":"https://www.wikidata.org/wiki/Q207643","display_name":"Linear map","level":2,"score":0.4663538},{"id":"https://openalex.org/C24902271","wikidata":"https://www.wikidata.org/wiki/Q7449297","display_name":"Semi-elliptic operator","level":3,"score":0.422446},{"id":"https://openalex.org/C79013869","wikidata":"https://www.wikidata.org/wiki/Q1780743","display_name":"Compact operator","level":3,"score":0.39314497},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.35001296},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.27268493},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.15458786},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08891541},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"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/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1137/05062873","pdf_url":null,"source":{"id":"https://openalex.org/S16958353","display_name":"SIAM Journal on Matrix Analysis and Applications","issn_l":"0895-4798","issn":["0895-4798","1095-7162"],"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":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":24,"referenced_works":["https://openalex.org/W1506032630","https://openalex.org/W1533295384","https://openalex.org/W1580301777","https://openalex.org/W1600349401","https://openalex.org/W1975886185","https://openalex.org/W1979403862","https://openalex.org/W2007862990","https://openalex.org/W2008620911","https://openalex.org/W2024405670","https://openalex.org/W2038801031","https://openalex.org/W2039892738","https://openalex.org/W2041849849","https://openalex.org/W2046958034","https://openalex.org/W2050399394","https://openalex.org/W2083824861","https://openalex.org/W2106117063","https://openalex.org/W2128870461","https://openalex.org/W2145364632","https://openalex.org/W2178071988","https://openalex.org/W3038830718","https://openalex.org/W4233460184","https://openalex.org/W4242212920","https://openalex.org/W4285719527","https://openalex.org/W4388319978"],"related_works":["https://openalex.org/W4308895499","https://openalex.org/W2988070614","https://openalex.org/W2747847053","https://openalex.org/W2381569314","https://openalex.org/W2362518496","https://openalex.org/W2345353395","https://openalex.org/W2202672589","https://openalex.org/W203872328","https://openalex.org/W2019697260","https://openalex.org/W1606776212"],"abstract_inverted_index":{"Perturbation":[0],"analysis,":[1],"including":[2],"perturbation":[3],"bounds,":[4],"is":[5,29,66,74],"developed":[6],"for":[7],"nonlinear":[8],"operator":[9,41,47],"equations":[10],"of":[11,23,38,50],"the":[12,24,39,59,69],"form":[13],"$X":[14],"=":[15],"Q":[16,27],"\\pm":[17],"A^*":[18],"F(X)":[19,43,73],"A$,":[20],"under":[21,53],"perturbations":[22,56],"given":[25,40],"operators":[26],"(which":[28],"assumed":[30],"to":[31],"be":[32],"positive":[33],"definite)":[34],"and":[35,37],"A":[36],"function":[42],"which":[44],"takes":[45],"self-adjoint":[46],"values.":[48],"Stability":[49],"fixed":[51],"points":[52],"suitable":[54],"map":[55],"serves":[57],"as":[58],"main":[60],"technical":[61],"tool.":[62],"More":[63],"detailed":[64],"analysis":[65],"provided":[67],"in":[68],"particular":[70],"cases":[71],"where":[72],"a":[75],"power":[76],"map.":[77]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1992949322","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2025-01-17T05:58:39.809045","created_date":"2016-06-24"}