{"id":"https://openalex.org/W31244878","doi":"https://doi.org/10.1007/bf02247881","title":"A special extended system and a Newton-like method for simple singular nonlinear equations","display_name":"A special extended system and a Newton-like method for simple singular nonlinear equations","publication_year":1990,"publication_date":"1990-06-01","ids":{"openalex":"https://openalex.org/W31244878","doi":"https://doi.org/10.1007/bf02247881","mag":"31244878"},"language":"en","primary_location":{"id":"doi:10.1007/bf02247881","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02247881","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"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/A5051275683","display_name":"Zhan\u2010Dong Mei","orcid":"https://orcid.org/0000-0001-7570-3921"},"institutions":[{"id":"https://openalex.org/I161103922","display_name":"Philipps University of Marburg","ror":"https://ror.org/01rdrb571","country_code":"DE","type":"education","lineage":["https://openalex.org/I161103922"]},{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN","DE"],"is_corresponding":true,"raw_author_name":"Z. Mei","raw_affiliation_strings":["Fachbereich Mathematik, Universit\u00e4t Marburg, Lahnberge, D-3550, Marburg/Lahn, Federal Republic of Germany","Xi\u2019an JiaoTong University, Xi\u2019an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fachbereich Mathematik, Universit\u00e4t Marburg, Lahnberge, D-3550, Marburg/Lahn, Federal Republic of Germany","institution_ids":["https://openalex.org/I161103922"]},{"raw_affiliation_string":"Xi\u2019an JiaoTong University, Xi\u2019an, China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051275683"],"corresponding_institution_ids":["https://openalex.org/I161103922","https://openalex.org/I87445476"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.00291715,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"45","issue":"2","first_page":"157","last_page":"167"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":1.0,"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/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9884999990463257,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9882000088691711,"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/simple","display_name":"Simple (philosophy)","score":0.7567709684371948},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.732576310634613},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.7178362607955933},{"id":"https://openalex.org/keywords/quadratic-growth","display_name":"Quadratic growth","score":0.7126520872116089},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.6516335010528564},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5058552622795105},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4789429306983948},{"id":"https://openalex.org/keywords/singular-solution","display_name":"Singular solution","score":0.42632603645324707},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.42189836502075195},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4139987826347351},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.3314385414123535},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.14788693189620972},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07397323846817017}],"concepts":[{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.7567709684371948},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.732576310634613},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7178362607955933},{"id":"https://openalex.org/C195956108","wikidata":"https://www.wikidata.org/wiki/Q7268362","display_name":"Quadratic growth","level":2,"score":0.7126520872116089},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.6516335010528564},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5058552622795105},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4789429306983948},{"id":"https://openalex.org/C135909967","wikidata":"https://www.wikidata.org/wiki/Q4338245","display_name":"Singular solution","level":2,"score":0.42632603645324707},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.42189836502075195},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4139987826347351},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.3314385414123535},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.14788693189620972},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07397323846817017},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02247881","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02247881","pdf_url":null,"source":{"id":"https://openalex.org/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"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":"Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W240154594","https://openalex.org/W333623113","https://openalex.org/W354044861","https://openalex.org/W1534005552","https://openalex.org/W1598855097","https://openalex.org/W1990503465","https://openalex.org/W2017478419","https://openalex.org/W2034222178","https://openalex.org/W2036702455","https://openalex.org/W2045423562","https://openalex.org/W2052775323","https://openalex.org/W2075776392","https://openalex.org/W2090963365","https://openalex.org/W2125721812","https://openalex.org/W2166430540","https://openalex.org/W2253915115","https://openalex.org/W4285719527","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W2350788688","https://openalex.org/W2358591430","https://openalex.org/W2103912232","https://openalex.org/W2031390949","https://openalex.org/W2026900827","https://openalex.org/W3094698614","https://openalex.org/W1964267519","https://openalex.org/W3180920337","https://openalex.org/W3140142921","https://openalex.org/W4308670056"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
