{"id":"https://openalex.org/W2028913091","doi":"https://doi.org/10.1007/bf02591686","title":"Multilevel least-change Newton-like methods for equality constrained optimization problems","display_name":"Multilevel least-change Newton-like methods for equality constrained optimization problems","publication_year":1987,"publication_date":"1987-02-01","ids":{"openalex":"https://openalex.org/W2028913091","doi":"https://doi.org/10.1007/bf02591686","mag":"2028913091"},"language":"en","primary_location":{"id":"doi:10.1007/bf02591686","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02591686","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/A5110313394","display_name":"Stanis\u0142aw M. Grzeg\u00f3rski","orcid":null},"institutions":[{"id":"https://openalex.org/I174183983","display_name":"Maria Curie-Sk\u0142odowska University","ror":"https://ror.org/015h0qg34","country_code":"PL","type":"education","lineage":["https://openalex.org/I174183983"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"S. M. Grzeg\u00f3rski","raw_affiliation_strings":["Numerical Analysis Department, Marie Curie-Sklodowska University, 20-031, Lublin, Poland","Marie Curie-Sktodowska Univ., Lublin, Poland#TAB#"],"affiliations":[{"raw_affiliation_string":"Numerical Analysis Department, Marie Curie-Sklodowska University, 20-031, Lublin, Poland","institution_ids":["https://openalex.org/I174183983"]},{"raw_affiliation_string":"Marie Curie-Sktodowska Univ., Lublin, Poland#TAB#","institution_ids":["https://openalex.org/I174183983"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110313394"],"corresponding_institution_ids":["https://openalex.org/I174183983"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1773399,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"37","issue":"1","first_page":"91","last_page":"116"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9991999864578247,"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":0.9991999864578247,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9986000061035156,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.9977999925613403,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7545821666717529},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.6042810082435608},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.591540515422821},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.5538227558135986},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.49356257915496826},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.45698004961013794},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.45554983615875244},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4481288492679596},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.41498544812202454},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.15700176358222961},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1398153007030487},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.10794603824615479},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0634005069732666}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7545821666717529},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.6042810082435608},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.591540515422821},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.5538227558135986},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.49356257915496826},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.45698004961013794},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45554983615875244},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4481288492679596},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.41498544812202454},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.15700176358222961},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1398153007030487},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.10794603824615479},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0634005069732666},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/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/bf02591686","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02591686","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.47999998927116394,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1573176827","https://openalex.org/W1987959348","https://openalex.org/W2000957563","https://openalex.org/W2003385023","https://openalex.org/W2005724054","https://openalex.org/W2008717014","https://openalex.org/W2022737993","https://openalex.org/W2055226585","https://openalex.org/W2057624533","https://openalex.org/W2057875970","https://openalex.org/W2069828243","https://openalex.org/W2084236346","https://openalex.org/W2090963365","https://openalex.org/W2101300785","https://openalex.org/W2108814972","https://openalex.org/W2112820497","https://openalex.org/W2118040915","https://openalex.org/W2482779561","https://openalex.org/W3012080241","https://openalex.org/W3095811983","https://openalex.org/W4205295188","https://openalex.org/W4242240140","https://openalex.org/W4285719527","https://openalex.org/W4299512035","https://openalex.org/W6668059577","https://openalex.org/W7034468541"],"related_works":["https://openalex.org/W2387535608","https://openalex.org/W2350788688","https://openalex.org/W2799975713","https://openalex.org/W2380062341","https://openalex.org/W2367976695","https://openalex.org/W2762113365","https://openalex.org/W4297921956","https://openalex.org/W2951861326","https://openalex.org/W4308500253","https://openalex.org/W1985487460"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
