{"id":"https://openalex.org/W2040480794","doi":"https://doi.org/10.1155/2014/741368","title":"A High-Order Iterate Method for Computing<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi><mml:mo>,</mml:mo><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math>","display_name":"A High-Order Iterate Method for Computing<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi><mml:mo>,</mml:mo><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy=\"false\">(</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy=\"false\">)</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math>","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W2040480794","doi":"https://doi.org/10.1155/2014/741368","mag":"2040480794"},"language":"lv","primary_location":{"id":"doi:10.1155/2014/741368","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/741368","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/741368.pdf","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://downloads.hindawi.com/journals/jam/2014/741368.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102964204","display_name":"Xiaoji Liu","orcid":"https://orcid.org/0000-0003-3499-3947"},"institutions":[{"id":"https://openalex.org/I167274908","display_name":"Guangxi Minzu University","ror":"https://ror.org/0495efn48","country_code":"CN","type":"education","lineage":["https://openalex.org/I167274908"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaoji Liu","raw_affiliation_strings":["Faculty of Science, Guangxi University for Nationalities, Nanning 530006, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Science, Guangxi University for Nationalities, Nanning 530006, China","institution_ids":["https://openalex.org/I167274908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051925688","display_name":"Zemeng Zuo","orcid":null},"institutions":[{"id":"https://openalex.org/I167274908","display_name":"Guangxi Minzu University","ror":"https://ror.org/0495efn48","country_code":"CN","type":"education","lineage":["https://openalex.org/I167274908"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zemeng Zuo","raw_affiliation_strings":["Faculty of Science, Guangxi University for Nationalities, Nanning 530006, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Science, Guangxi University for Nationalities, Nanning 530006, China","institution_ids":["https://openalex.org/I167274908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102964204"],"corresponding_institution_ids":["https://openalex.org/I167274908"],"apc_list":{"value":1050,"currency":"USD","value_usd":1050},"apc_paid":{"value":1050,"currency":"USD","value_usd":1050},"fwci":0.6982,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.71885933,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"7"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9894000291824341,"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":0.9851999878883362,"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/algorithm","display_name":"Algorithm","score":0.6762368679046631},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46779924631118774},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.44051581621170044},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.348184198141098}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6762368679046631},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46779924631118774},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.44051581621170044},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.348184198141098},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2014/741368","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/741368","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/741368.pdf","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"},{"id":"pmh:oai:CULeuclid:euclid.jam/1412178030","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1412178030","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:081526454c394eb98a04cced7a6aec36","is_oa":false,"landing_page_url":"https://doaj.org/article/081526454c394eb98a04cced7a6aec36","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2014/741368","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/741368","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/741368.pdf","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/G211601448","display_name":null,"funder_award_id":"2013GXNSFAA019008","funder_id":"https://openalex.org/F4320322816","funder_display_name":"Guangxi University for Nationalities"},{"id":"https://openalex.org/G2226747440","display_name":"Drazin\u9006\u7406\u8bba\u53ca\u5176\u5e94\u7528\u7684\u7814\u7a76","funder_award_id":"11361009","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3482211921","display_name":null,"funder_award_id":"201202ZD031","funder_id":"https://openalex.org/F4320322816","funder_display_name":"Guangxi University for Nationalities"},{"id":"https://openalex.org/G4172179717","display_name":null,"funder_award_id":"2013GXNSFAA019008","funder_id":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province"},{"id":"https://openalex.org/G4991751731","display_name":null,"funder_award_id":"11361009","funder_id":"https://openalex.org/F4320322816","funder_display_name":"Guangxi University for Nationalities"},{"id":"https://openalex.org/G5146080591","display_name":null,"funder_award_id":"11361009","funder_id":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province"},{"id":"https://openalex.org/G6279571165","display_name":null,"funder_award_id":"2013GXNSFAA019008","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6618103362","display_name":null,"funder_award_id":"201202ZD031","funder_id":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province"},{"id":"https://openalex.org/G8894544835","display_name":null,"funder_award_id":"201202ZD031","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322768","display_name":"Natural Science Foundation of Guangxi Province","ror":null},{"id":"https://openalex.org/F4320322816","display_name":"Guangxi University for Nationalities","ror":"https://ror.org/0495efn48"},{"id":"https://openalex.org/F4320327522","display_name":"Guangxi University","ror":"https://ror.org/02c9qn167"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2040480794.pdf","grobid_xml":"https://content.openalex.org/works/W2040480794.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1693006369","https://openalex.org/W1968323328","https://openalex.org/W1969729846","https://openalex.org/W1975062715","https://openalex.org/W1978400376","https://openalex.org/W1986904598","https://openalex.org/W1991717161","https://openalex.org/W1999939288","https://openalex.org/W2007653503","https://openalex.org/W2022884634","https://openalex.org/W2033935789","https://openalex.org/W2055610189","https://openalex.org/W2069692846","https://openalex.org/W2074721415","https://openalex.org/W2077639421","https://openalex.org/W2080220726","https://openalex.org/W2085850889","https://openalex.org/W2091889419","https://openalex.org/W2137434764","https://openalex.org/W2182001043"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2530322880"],"abstract_inverted_index":{"We":[0,23],"investigate":[1],"a":[2,18],"new":[3,28,68],"higher":[4],"order":[5],"iterative":[6],"method":[7,29],"for":[8,33],"computing":[9],"the":[10,27,49,64,67],"generalized":[11],"inverse<mml:math":[12],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[13,21],"id=\"M2\"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mi>T</mml:mi><mml:mo>,</mml:mo><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mo":[14],"stretchy=\"false\">(</mml:mo><mml:mn":[15],"fontstyle=\"italic\">2</mml:mn><mml:mo":[16],"stretchy=\"false\">)</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math>for":[17],"given":[19],"matrix<mml:math":[20],"id=\"M3\"><mml:mrow><mml:mi>A</mml:mi></mml:mrow></mml:math>.":[22],"also":[24,60],"discuss":[25],"how":[26],"could":[30],"be":[31],"applied":[32],"finding":[34],"approximate":[35],"inverses":[36],"of":[37,42,66],"nonsingular":[38],"square":[39],"matrices.":[40],"Analysis":[41],"convergence":[43],"is":[44],"included":[45],"to":[46,62],"show":[47,63],"that":[48],"proposed":[50],"scheme":[51],"has":[52],"at":[53],"least":[54],"fifteenth-order":[55],"convergence.":[56],"Some":[57],"tests":[58],"are":[59],"presented":[61],"superiority":[65],"method.":[69]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2016-06-24T00:00:00"}