{"id":"https://openalex.org/W7117319619","doi":"https://doi.org/10.1155/jama/3807841","title":"A Fourth\u2010Order Ulm\u2010Type Method for Inverse Eigenvalue Problems","display_name":"A Fourth\u2010Order Ulm\u2010Type Method for Inverse Eigenvalue Problems","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W7117319619","doi":"https://doi.org/10.1155/jama/3807841"},"language":"en","primary_location":{"id":"doi:10.1155/jama/3807841","is_oa":true,"landing_page_url":"https://doi.org/10.1155/jama/3807841","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jama/3807841","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jama/3807841","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5121335171","display_name":"Xin Li","orcid":null},"institutions":[{"id":"https://openalex.org/I4210110718","display_name":"Nanyang Normal University","ror":"https://ror.org/01f7yer47","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210110718"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin Li","raw_affiliation_strings":["School of Mathematics and Statistics ,  Nanyang Normal University ,  Nanyang ,  Henan ,  China , nynu.edu.cn"],"raw_orcid":"https://orcid.org/0000-0003-2562-7558","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics ,  Nanyang Normal University ,  Nanyang ,  Henan ,  China , nynu.edu.cn","institution_ids":["https://openalex.org/I4210110718"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5121327552","display_name":"Wei Ma","orcid":null},"institutions":[{"id":"https://openalex.org/I4210110718","display_name":"Nanyang Normal University","ror":"https://ror.org/01f7yer47","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210110718"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wei Ma","raw_affiliation_strings":["School of Mathematics and Statistics ,  Nanyang Normal University ,  Nanyang ,  Henan ,  China , nynu.edu.cn"],"raw_orcid":"https://orcid.org/0000-0003-4877-5115","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics ,  Nanyang Normal University ,  Nanyang ,  Henan ,  China , nynu.edu.cn","institution_ids":["https://openalex.org/I4210110718"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5121327552"],"corresponding_institution_ids":["https://openalex.org/I4210110718"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.74520204,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2025","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.5044999718666077,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","score":0.5044999718666077,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.33719998598098755,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.07989999651908875,"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/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7300000190734863},{"id":"https://openalex.org/keywords/inverse-iteration","display_name":"Inverse iteration","score":0.6940000057220459},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.629800021648407},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.5626000165939331},{"id":"https://openalex.org/keywords/inverse-problem","display_name":"Inverse problem","score":0.5343999862670898},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.423799991607666},{"id":"https://openalex.org/keywords/generalized-inverse","display_name":"Generalized inverse","score":0.4025999903678894}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7300000190734863},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7269999980926514},{"id":"https://openalex.org/C2505209","wikidata":"https://www.wikidata.org/wiki/Q1671724","display_name":"Inverse iteration","level":3,"score":0.6940000057220459},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.629800021648407},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.6075999736785889},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.5626000165939331},{"id":"https://openalex.org/C135252773","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse problem","level":2,"score":0.5343999862670898},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.423799991607666},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41269999742507935},{"id":"https://openalex.org/C76134657","wikidata":"https://www.wikidata.org/wiki/Q370634","display_name":"Generalized inverse","level":3,"score":0.4025999903678894},{"id":"https://openalex.org/C117586675","wikidata":"https://www.wikidata.org/wiki/Q7298489","display_name":"Rayleigh quotient iteration","level":4,"score":0.4011000096797943},{"id":"https://openalex.org/C143587482","wikidata":"https://www.wikidata.org/wiki/Q1543216","display_name":"Iterative and incremental development","level":2,"score":0.39750000834465027},{"id":"https://openalex.org/C192702615","wikidata":"https://www.wikidata.org/wiki/Q5283998","display_name":"Divide-and-conquer eigenvalue algorithm","level":3,"score":0.3637000024318695},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.32350000739097595},{"id":"https://openalex.org/C2992863106","wikidata":"https://www.wikidata.org/wiki/Q1567213","display_name":"Inverse theory","level":3,"score":0.3070000112056732},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.27469998598098755},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27410000562667847},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26080000400543213}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1155/jama/3807841","is_oa":true,"landing_page_url":"https://doi.org/10.1155/jama/3807841","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jama/3807841","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1155/jama/3807841","is_oa":true,"landing_page_url":"https://doi.org/10.1155/jama/3807841","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1155/jama/3807841","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2092000352","display_name":null,"funder_award_id":"2018ZX004","funder_id":"https://openalex.org/F4320323019","funder_display_name":"Nanyang Normal University"}],"funders":[{"id":"https://openalex.org/F4320323019","display_name":"Nanyang Normal University","ror":"https://ror.org/01f7yer47"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W7117319619.pdf"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W85571381","https://openalex.org/W1967057267","https://openalex.org/W1972249541","https://openalex.org/W1991136704","https://openalex.org/W1998801069","https://openalex.org/W2014185853","https://openalex.org/W2014975345","https://openalex.org/W2029123595","https://openalex.org/W2039201258","https://openalex.org/W2043561826","https://openalex.org/W2052541395","https://openalex.org/W2063022786","https://openalex.org/W2067291627","https://openalex.org/W2078949011","https://openalex.org/W2080990494","https://openalex.org/W2085259167","https://openalex.org/W2090135779","https://openalex.org/W2167227243","https://openalex.org/W2800400897","https://openalex.org/W2979957734","https://openalex.org/W3155064147","https://openalex.org/W3213641998","https://openalex.org/W4235706696","https://openalex.org/W4253013366","https://openalex.org/W4294571370","https://openalex.org/W4296553278"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"a":[5,16],"fourth\u2010order":[6,35],"Ulm\u2010type":[7,18],"method":[8,33],"for":[9],"solving":[10],"inverse":[11],"eigenvalue":[12],"problems":[13],"based":[14],"on":[15],"two\u2010step":[17],"iterative":[19],"process":[20],"and":[21],"Cayley":[22],"transform.":[23],"Under":[24],"some":[25],"mild":[26],"assumptions,":[27],"our":[28,32],"results":[29],"indicate":[30],"that":[31],"is":[34],"convergent.":[36],"The":[37],"numerical":[38],"implementation":[39],"proves":[40],"the":[41,44],"effectiveness":[42],"of":[43],"proposed":[45],"method.":[46]},"counts_by_year":[],"updated_date":"2026-06-15T08:34:33.830935","created_date":"2025-12-26T00:00:00"}