{"id":"https://openalex.org/W2512288140","doi":"https://doi.org/10.1007/s11075-016-0196-6","title":"Multi-step modified Newton-HSS methods for systems of nonlinear equations with positive definite Jacobian matrices","display_name":"Multi-step modified Newton-HSS methods for systems of nonlinear equations with positive definite Jacobian matrices","publication_year":2016,"publication_date":"2016-08-25","ids":{"openalex":"https://openalex.org/W2512288140","doi":"https://doi.org/10.1007/s11075-016-0196-6","mag":"2512288140"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-016-0196-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-016-0196-6","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5100733463","display_name":"Li Yang","orcid":"https://orcid.org/0000-0002-5484-0895"},"institutions":[{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Li","raw_affiliation_strings":["Department of Mathematics, East China Normal University, Shanghai, 200241, People\u2019s Republic of China","Department of Mathematics, East China Normal University, Shanghai, 200241, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, East China Normal University, Shanghai, 200241, People\u2019s Republic of China","institution_ids":["https://openalex.org/I66867065"]},{"raw_affiliation_string":"Department of Mathematics, East China Normal University, Shanghai, 200241, People's Republic of China","institution_ids":["https://openalex.org/I66867065"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101507340","display_name":"Xue-Ping Guo","orcid":"https://orcid.org/0000-0002-8571-2271"},"institutions":[{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xue-Ping Guo","raw_affiliation_strings":["Department of Mathematics, Shanghai Key Laboratory of PMMP, East China Normal University, Shanghai, 200241, People\u2019s Republic of China","Department of Mathematics, Shanghai Key Laboratory of PMMP, East China Normal University, Shanghai, 200241, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Shanghai Key Laboratory of PMMP, East China Normal University, Shanghai, 200241, People\u2019s Republic of China","institution_ids":["https://openalex.org/I66867065"]},{"raw_affiliation_string":"Department of Mathematics, Shanghai Key Laboratory of PMMP, East China Normal University, Shanghai, 200241, People's Republic of China","institution_ids":["https://openalex.org/I66867065"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101507340"],"corresponding_institution_ids":["https://openalex.org/I66867065"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.2361,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.92530329,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"75","issue":"1","first_page":"55","last_page":"80"},"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":0.9987000226974487,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9973000288009644,"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/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.8261237144470215},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7514992952346802},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.6935882568359375},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.6807692050933838},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.5801246166229248},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.5505766868591309},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5453907251358032},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5079043507575989},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.48349979519844055},{"id":"https://openalex.org/keywords/newtons-method-in-optimization","display_name":"Newton's method in optimization","score":0.43885964155197144},{"id":"https://openalex.org/keywords/backtracking","display_name":"Backtracking","score":0.4140448272228241},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4117230772972107},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2089272439479828},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.16563567519187927},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.06922775506973267}],"concepts":[{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.8261237144470215},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7514992952346802},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.6935882568359375},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.6807692050933838},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.5801246166229248},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.5505766868591309},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5453907251358032},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5079043507575989},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.48349979519844055},{"id":"https://openalex.org/C179127668","wikidata":"https://www.wikidata.org/wiki/Q17086396","display_name":"Newton's method in optimization","level":4,"score":0.43885964155197144},{"id":"https://openalex.org/C156884757","wikidata":"https://www.wikidata.org/wiki/Q798554","display_name":"Backtracking","level":2,"score":0.4140448272228241},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4117230772972107},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2089272439479828},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.16563567519187927},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.06922775506973267},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-016-0196-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-016-0196-6","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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":29,"referenced_works":["https://openalex.org/W176298991","https://openalex.org/W1506342804","https://openalex.org/W1974783314","https://openalex.org/W1978562552","https://openalex.org/W1993952196","https://openalex.org/W1995897527","https://openalex.org/W1998738505","https://openalex.org/W2002102128","https://openalex.org/W2024972953","https://openalex.org/W2025487819","https://openalex.org/W2049726926","https://openalex.org/W2055033814","https://openalex.org/W2056527665","https://openalex.org/W2075835091","https://openalex.org/W2079440004","https://openalex.org/W2084740841","https://openalex.org/W2088456940","https://openalex.org/W2090963365","https://openalex.org/W2107501462","https://openalex.org/W2126545861","https://openalex.org/W2133124628","https://openalex.org/W2143476164","https://openalex.org/W2148733093","https://openalex.org/W2153227007","https://openalex.org/W2165741100","https://openalex.org/W2485779782","https://openalex.org/W3038830718","https://openalex.org/W4206097460","https://openalex.org/W4299512035"],"related_works":["https://openalex.org/W2350788688","https://openalex.org/W4297921956","https://openalex.org/W2951861326","https://openalex.org/W2387535608","https://openalex.org/W1985487460","https://openalex.org/W2380062341","https://openalex.org/W2026900827","https://openalex.org/W2358591430","https://openalex.org/W2031390949","https://openalex.org/W2799975713"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}