{"id":"https://openalex.org/W4322495452","doi":"https://doi.org/10.1007/s12190-022-01821-z","title":"A new hybrid conjugate gradient algorithm based on the Newton direction to solve unconstrained optimization problems","display_name":"A new hybrid conjugate gradient algorithm based on the Newton direction to solve unconstrained optimization problems","publication_year":2023,"publication_date":"2023-02-27","ids":{"openalex":"https://openalex.org/W4322495452","doi":"https://doi.org/10.1007/s12190-022-01821-z"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-022-01821-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-022-01821-z","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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":"Journal of Applied Mathematics and 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/A5008606218","display_name":"Naima Hamel","orcid":"https://orcid.org/0000-0003-3944-4314"},"institutions":[{"id":"https://openalex.org/I4210097536","display_name":"University of Guelma","ror":"https://ror.org/00xe6p546","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210097536"]}],"countries":["DZ"],"is_corresponding":true,"raw_author_name":"Naima Hamel","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques Appliqu\u00e9es et de Mod\u00e9lisation, Universit\u00e9 8 Mai 1945 Guelma, B.P. 401, 24000, Guelma, Algeria"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Appliqu\u00e9es et de Mod\u00e9lisation, Universit\u00e9 8 Mai 1945 Guelma, B.P. 401, 24000, Guelma, Algeria","institution_ids":["https://openalex.org/I4210097536"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051547459","display_name":"Noureddine Benrabia","orcid":"https://orcid.org/0000-0002-4669-7099"},"institutions":[{"id":"https://openalex.org/I1288970718","display_name":"Mohamed-Cherif Messaadia University","ror":"https://ror.org/04pn9tn44","country_code":"DZ","type":"education","lineage":["https://openalex.org/I1288970718"]},{"id":"https://openalex.org/I4210097536","display_name":"University of Guelma","ror":"https://ror.org/00xe6p546","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210097536"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Noureddine Benrabia","raw_affiliation_strings":["D\u00e9partement de Math\u00e9matiques et Informatique, Universit\u00e9 Mohamed-Ch\u00e9rif Messaadia, B.P. 1553, 41000, Souk Ahras, Algeria","Laboratoire de Math\u00e9matiques Appliqu\u00e9es et de Mod\u00e9lisation, Universit\u00e9 8 Mai 1945 Guelma, B.P. 401, 24000, Guelma, Algeria"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques et Informatique, Universit\u00e9 Mohamed-Ch\u00e9rif Messaadia, B.P. 1553, 41000, Souk Ahras, Algeria","institution_ids":["https://openalex.org/I1288970718"]},{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Appliqu\u00e9es et de Mod\u00e9lisation, Universit\u00e9 8 Mai 1945 Guelma, B.P. 401, 24000, Guelma, Algeria","institution_ids":["https://openalex.org/I4210097536"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072371825","display_name":"Mourad Ghiat","orcid":"https://orcid.org/0000-0002-4484-2504"},"institutions":[{"id":"https://openalex.org/I4210097536","display_name":"University of Guelma","ror":"https://ror.org/00xe6p546","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210097536"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Mourad Ghiat","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques Appliqu\u00e9es et de Mod\u00e9lisation, Universit\u00e9 8 Mai 1945 Guelma, B.P. 401, 24000, Guelma, Algeria"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Appliqu\u00e9es et de Mod\u00e9lisation, Universit\u00e9 8 Mai 1945 Guelma, B.P. 401, 24000, Guelma, Algeria","institution_ids":["https://openalex.org/I4210097536"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085586710","display_name":"Hamza Guebba\u00ef","orcid":"https://orcid.org/0000-0001-8119-2881"},"institutions":[{"id":"https://openalex.org/I4210097536","display_name":"University of Guelma","ror":"https://ror.org/00xe6p546","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210097536"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Hamza Guebbai","raw_affiliation_strings":["Laboratoire de Math\u00e9matiques Appliqu\u00e9es et de Mod\u00e9lisation, Universit\u00e9 8 Mai 1945 Guelma, B.P. 401, 24000, Guelma, Algeria"],"affiliations":[{"raw_affiliation_string":"Laboratoire de Math\u00e9matiques Appliqu\u00e9es et de Mod\u00e9lisation, Universit\u00e9 8 Mai 1945 Guelma, B.P. 401, 24000, Guelma, Algeria","institution_ids":["https://openalex.org/I4210097536"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5008606218"],"corresponding_institution_ids":["https://openalex.org/I4210097536"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":4.5537,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.95609634,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"69","issue":"3","first_page":"2531","last_page":"2548"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9821000099182129,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9653000235557556,"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/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.846717357635498},{"id":"https://openalex.org/keywords/line-search","display_name":"Line search","score":0.7906902432441711},{"id":"https://openalex.org/keywords/hessian-matrix","display_name":"Hessian matrix","score":0.7870115637779236},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7370650172233582},{"id":"https://openalex.org/keywords/nonlinear-conjugate-gradient-method","display_name":"Nonlinear conjugate gradient method","score":0.6928493976593018},{"id":"https://openalex.org/keywords/descent-direction","display_name":"Descent direction","score":0.6780436635017395},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.6081105470657349},{"id":"https://openalex.org/keywords/newtons-method-in-optimization","display_name":"Newton's method in optimization","score":0.5446940064430237},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.536679744720459},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5346447825431824},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.509046733379364},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.500532865524292},{"id":"https://openalex.org/keywords/directional-derivative","display_name":"Directional derivative","score":0.4991269111633301},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.49103713035583496},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4748832583427429},{"id":"https://openalex.org/keywords/frank\u2013wolfe-algorithm","display_name":"Frank\u2013Wolfe algorithm","score":0.45844176411628723},{"id":"https://openalex.org/keywords/conjugate-residual-method","display_name":"Conjugate residual method","score":0.45625409483909607},{"id":"https://openalex.org/keywords/quasi-newton-method","display_name":"Quasi-Newton method","score":0.4451163411140442},{"id":"https://openalex.org/keywords/newtons-method","display_name":"Newton's method","score":0.4301307499408722},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.341608464717865},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.33376505970954895},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.31018155813217163},{"id":"https://openalex.org/keywords/local-convergence","display_name":"Local convergence","score":0.27389687299728394},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.2535020709037781},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22721001505851746},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.10357314348220825},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08347418904304504},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.0805906355381012},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06977704167366028},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06608462333679199},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.06245553493499756}],"concepts":[{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.846717357635498},{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.7906902432441711},{"id":"https://openalex.org/C203616005","wikidata":"https://www.wikidata.org/wiki/Q620495","display_name":"Hessian matrix","level":2,"score":0.7870115637779236},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7370650172233582},{"id":"https://openalex.org/C26362088","wikidata":"https://www.wikidata.org/wiki/Q17086453","display_name":"Nonlinear conjugate gradient method","level":4,"score":0.6928493976593018},{"id":"https://openalex.org/C116149140","wikidata":"https://www.wikidata.org/wiki/Q2070951","display_name":"Descent direction","level":4,"score":0.6780436635017395},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.6081105470657349},{"id":"https://openalex.org/C179127668","wikidata":"https://www.wikidata.org/wiki/Q17086396","display_name":"Newton's method in optimization","level":4,"score":0.5446940064430237},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.536679744720459},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5346447825431824},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.509046733379364},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.500532865524292},{"id":"https://openalex.org/C2011187","wikidata":"https://www.wikidata.org/wiki/Q383851","display_name":"Directional derivative","level":2,"score":0.4991269111633301},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.49103713035583496},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4748832583427429},{"id":"https://openalex.org/C122268817","wikidata":"https://www.wikidata.org/wiki/Q2020318","display_name":"Frank\u2013Wolfe algorithm","level":5,"score":0.45844176411628723},{"id":"https://openalex.org/C91394653","wikidata":"https://www.wikidata.org/wiki/Q5161159","display_name":"Conjugate residual method","level":4,"score":0.45625409483909607},{"id":"https://openalex.org/C114954040","wikidata":"https://www.wikidata.org/wiki/Q1476018","display_name":"Quasi-Newton method","level":4,"score":0.4451163411140442},{"id":"https://openalex.org/C85189116","wikidata":"https://www.wikidata.org/wiki/Q374195","display_name":"Newton's method","level":3,"score":0.4301307499408722},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.341608464717865},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.33376505970954895},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.31018155813217163},{"id":"https://openalex.org/C117898588","wikidata":"https://www.wikidata.org/wiki/Q6664310","display_name":"Local convergence","level":3,"score":0.27389687299728394},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.2535020709037781},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22721001505851746},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.10357314348220825},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08347418904304504},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.0805906355381012},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06977704167366028},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06608462333679199},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.06245553493499756},{"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/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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-022-01821-z","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-022-01821-z","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"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":"Journal of Applied Mathematics and 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":30,"referenced_works":["https://openalex.org/W150175414","https://openalex.org/W1034108409","https://openalex.org/W1565013069","https://openalex.org/W1981912021","https://openalex.org/W1985873469","https://openalex.org/W1988849934","https://openalex.org/W2012231377","https://openalex.org/W2012960907","https://openalex.org/W2014851363","https://openalex.org/W2032668178","https://openalex.org/W2065678922","https://openalex.org/W2066743741","https://openalex.org/W2091549324","https://openalex.org/W2091874256","https://openalex.org/W2149454052","https://openalex.org/W2316564661","https://openalex.org/W2467265049","https://openalex.org/W2735071610","https://openalex.org/W2790222781","https://openalex.org/W2900034036","https://openalex.org/W2964878901","https://openalex.org/W2982667364","https://openalex.org/W3015371390","https://openalex.org/W3035173976","https://openalex.org/W3121506184","https://openalex.org/W3131663635","https://openalex.org/W3137277669","https://openalex.org/W3155416702","https://openalex.org/W3182242414","https://openalex.org/W4240472590"],"related_works":["https://openalex.org/W2390763588","https://openalex.org/W2563719283","https://openalex.org/W2745588084","https://openalex.org/W4362730583","https://openalex.org/W4362730446","https://openalex.org/W2949437822","https://openalex.org/W2067520085","https://openalex.org/W2098283892","https://openalex.org/W2110302464","https://openalex.org/W4322495452"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}