{"id":"https://openalex.org/W4307804914","doi":"https://doi.org/10.1007/s12190-022-01806-y","title":"Fixed point iterative methods for solving the nonlinear matrix equation $$X-A^{*}X^{-n}A=I$$","display_name":"Fixed point iterative methods for solving the nonlinear matrix equation $$X-A^{*}X^{-n}A=I$$","publication_year":2022,"publication_date":"2022-11-01","ids":{"openalex":"https://openalex.org/W4307804914","doi":"https://doi.org/10.1007/s12190-022-01806-y"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-022-01806-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-022-01806-y","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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":"Journal of Applied Mathematics and 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/A5012413411","display_name":"Changzhou Li","orcid":"https://orcid.org/0000-0002-0848-2062"},"institutions":[{"id":"https://openalex.org/I194450716","display_name":"Jilin University","ror":"https://ror.org/00js3aw79","country_code":"CN","type":"education","lineage":["https://openalex.org/I194450716"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Chang-Zhou Li","raw_affiliation_strings":["School of Mathematics, Jilin University, Qianjin Street, Changchun City, 130012, Jilin, China","School of Mathematics, Jilin University, Changchun City, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Jilin University, Qianjin Street, Changchun City, 130012, Jilin, China","institution_ids":["https://openalex.org/I194450716"]},{"raw_affiliation_string":"School of Mathematics, Jilin University, Changchun City, China","institution_ids":["https://openalex.org/I194450716"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5012413411"],"corresponding_institution_ids":["https://openalex.org/I194450716"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.7518,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.74815383,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"69","issue":"2","first_page":"1731","last_page":"1749"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9976000189781189,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9954000115394592,"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/mathematics","display_name":"Mathematics","score":0.8863534927368164},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5705481767654419},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5669742822647095},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.5341875553131104},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.5300003886222839},{"id":"https://openalex.org/keywords/fixed-point","display_name":"Fixed point","score":0.47254252433776855},{"id":"https://openalex.org/keywords/universality","display_name":"Universality (dynamical systems)","score":0.43023526668548584},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43021491169929504},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.42881354689598083},{"id":"https://openalex.org/keywords/fixed-point-iteration","display_name":"Fixed-point iteration","score":0.41884827613830566},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4183986783027649},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.20731282234191895},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18353557586669922},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.16835615038871765},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.09938216209411621},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.05519002676010132}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8863534927368164},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5705481767654419},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5669742822647095},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.5341875553131104},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.5300003886222839},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.47254252433776855},{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.43023526668548584},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43021491169929504},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.42881354689598083},{"id":"https://openalex.org/C157449380","wikidata":"https://www.wikidata.org/wiki/Q1030759","display_name":"Fixed-point iteration","level":3,"score":0.41884827613830566},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4183986783027649},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.20731282234191895},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18353557586669922},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.16835615038871765},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.09938216209411621},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05519002676010132},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-022-01806-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-022-01806-y","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1965452869","https://openalex.org/W1975886185","https://openalex.org/W1976988880","https://openalex.org/W2002156977","https://openalex.org/W2006850990","https://openalex.org/W2007322084","https://openalex.org/W2007711309","https://openalex.org/W2017401723","https://openalex.org/W2017971957","https://openalex.org/W2024405670","https://openalex.org/W2030161333","https://openalex.org/W2038801031","https://openalex.org/W2039892738","https://openalex.org/W2056955868","https://openalex.org/W2057807012","https://openalex.org/W2074771309","https://openalex.org/W2092962117","https://openalex.org/W2116005476","https://openalex.org/W2133866750","https://openalex.org/W2145933873","https://openalex.org/W2220409925","https://openalex.org/W2745721677","https://openalex.org/W3012539387","https://openalex.org/W3094768256","https://openalex.org/W4255333822","https://openalex.org/W4300338207","https://openalex.org/W4312258136"],"related_works":["https://openalex.org/W2367027423","https://openalex.org/W4206234077","https://openalex.org/W2121030460","https://openalex.org/W2009320932","https://openalex.org/W2951116071","https://openalex.org/W2371640884","https://openalex.org/W2073904121","https://openalex.org/W1993806324","https://openalex.org/W3156339903","https://openalex.org/W2191009027"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}