{"id":"https://openalex.org/W2067638828","doi":"https://doi.org/10.1007/s10589-011-9415-1","title":"A combined class of self-scaling and modified quasi-Newton methods","display_name":"A combined class of self-scaling and modified quasi-Newton methods","publication_year":2011,"publication_date":"2011-06-03","ids":{"openalex":"https://openalex.org/W2067638828","doi":"https://doi.org/10.1007/s10589-011-9415-1","mag":"2067638828"},"language":"en","primary_location":{"id":"doi:10.1007/s10589-011-9415-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-011-9415-1","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","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/A5113937939","display_name":"Mehiddin Al\u2010Baali","orcid":null},"institutions":[{"id":"https://openalex.org/I47818738","display_name":"Sultan Qaboos University","ror":"https://ror.org/04wq8zb47","country_code":"OM","type":"education","lineage":["https://openalex.org/I47818738"]}],"countries":["OM"],"is_corresponding":true,"raw_author_name":"Mehiddin Al-Baali","raw_affiliation_strings":["Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Muscat, 123, Oman","Department of Mathematics and Statistics, Sultan Qaboos University, Muscat, Oman 123#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Muscat, 123, Oman","institution_ids":["https://openalex.org/I47818738"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Sultan Qaboos University, Muscat, Oman 123#TAB#","institution_ids":["https://openalex.org/I47818738"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050018842","display_name":"Humaid Khalfan","orcid":null},"institutions":[{"id":"https://openalex.org/I201726411","display_name":"United Arab Emirates University","ror":"https://ror.org/01km6p862","country_code":"AE","type":"education","lineage":["https://openalex.org/I201726411"]}],"countries":["AE"],"is_corresponding":false,"raw_author_name":"Humaid Khalfan","raw_affiliation_strings":["Department of Mathematics and Computer Science, UAE University, Al-Ain, 17551, United Arab Emirates","Department of Mathematics and Computer Science, UAE University, Al-Ain, United Arab Emirates 17551#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, UAE University, Al-Ain, 17551, United Arab Emirates","institution_ids":["https://openalex.org/I201726411"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, UAE University, Al-Ain, United Arab Emirates 17551#TAB#","institution_ids":["https://openalex.org/I201726411"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113937939"],"corresponding_institution_ids":["https://openalex.org/I47818738"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":1.3761,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.79793415,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"52","issue":"2","first_page":"393","last_page":"408"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994999766349792,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9994999766349792,"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":0.9962000250816345,"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/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/broyden\u2013fletcher\u2013goldfarb\u2013shanno-algorithm","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","score":0.9131637215614319},{"id":"https://openalex.org/keywords/quasi-newton-method","display_name":"Quasi-Newton method","score":0.8486974835395813},{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.8160957098007202},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7367915511131287},{"id":"https://openalex.org/keywords/line-search","display_name":"Line search","score":0.6174114942550659},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5666804313659668},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.5643104314804077},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5376125574111938},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5079470276832581},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4868296980857849},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4544449746608734},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4330718219280243},{"id":"https://openalex.org/keywords/curvature","display_name":"Curvature","score":0.41999268531799316},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.4019055962562561},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19058790802955627},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1616332232952118},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08928626775741577}],"concepts":[{"id":"https://openalex.org/C132721684","wikidata":"https://www.wikidata.org/wiki/Q2877013","display_name":"Broyden\u2013Fletcher\u2013Goldfarb\u2013Shanno algorithm","level":3,"score":0.9131637215614319},{"id":"https://openalex.org/C114954040","wikidata":"https://www.wikidata.org/wiki/Q1476018","display_name":"Quasi-Newton method","level":4,"score":0.8486974835395813},{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.8160957098007202},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7367915511131287},{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.6174114942550659},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5666804313659668},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5643104314804077},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5376125574111938},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5079470276832581},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4868296980857849},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4544449746608734},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4330718219280243},{"id":"https://openalex.org/C195065555","wikidata":"https://www.wikidata.org/wiki/Q214881","display_name":"Curvature","level":2,"score":0.41999268531799316},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.4019055962562561},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19058790802955627},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1616332232952118},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08928626775741577},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10589-011-9415-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10589-011-9415-1","pdf_url":null,"source":{"id":"https://openalex.org/S39243548","display_name":"Computational Optimization and Applications","issn_l":"0926-6003","issn":["0926-6003","1573-2894"],"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":"Computational Optimization and Applications","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.568.4122","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.568.4122","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.optimization-online.org/DB_FILE/2009/07/2334.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:coopap:v:52:y:2012:i:2:p:393-408","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10589-011-9415-1","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W75734479","https://openalex.org/W123808961","https://openalex.org/W186175500","https://openalex.org/W1786620475","https://openalex.org/W1977300230","https://openalex.org/W1993671884","https://openalex.org/W2003809942","https://openalex.org/W2006644442","https://openalex.org/W2016729766","https://openalex.org/W2022772618","https://openalex.org/W2025469203","https://openalex.org/W2033793366","https://openalex.org/W2033947507","https://openalex.org/W2037114197","https://openalex.org/W2037258733","https://openalex.org/W2045968916","https://openalex.org/W2048221927","https://openalex.org/W2051247543","https://openalex.org/W2051434435","https://openalex.org/W2056603712","https://openalex.org/W2057544288","https://openalex.org/W2061054410","https://openalex.org/W2068484625","https://openalex.org/W2077658674","https://openalex.org/W2082655980","https://openalex.org/W2085137170","https://openalex.org/W2095133175","https://openalex.org/W2101270022","https://openalex.org/W2127547660","https://openalex.org/W2149454052","https://openalex.org/W2149928253","https://openalex.org/W2798766386","https://openalex.org/W3012317737","https://openalex.org/W3029645440","https://openalex.org/W3141890267","https://openalex.org/W4212997115","https://openalex.org/W4293775970"],"related_works":["https://openalex.org/W2026245502","https://openalex.org/W4318192194","https://openalex.org/W2070932288","https://openalex.org/W4221162014","https://openalex.org/W2937637171","https://openalex.org/W2572889128","https://openalex.org/W3091576739","https://openalex.org/W2892976100","https://openalex.org/W1964096161","https://openalex.org/W1993523241"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}