{"id":"https://openalex.org/W4402658666","doi":"https://doi.org/10.1007/s40314-024-02920-2","title":"Two efficient nonlinear conjugate gradient methods for Riemannian manifolds","display_name":"Two efficient nonlinear conjugate gradient methods for Riemannian manifolds","publication_year":2024,"publication_date":"2024-09-19","ids":{"openalex":"https://openalex.org/W4402658666","doi":"https://doi.org/10.1007/s40314-024-02920-2"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-024-02920-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-024-02920-2","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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 and Applied Mathematics","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/A5010896941","display_name":"Nasiru Salihu","orcid":"https://orcid.org/0000-0002-6967-2134"},"institutions":[{"id":"https://openalex.org/I60470151","display_name":"Modibbo Adama University of Technology","ror":"https://ror.org/015dhe595","country_code":"NG","type":"education","lineage":["https://openalex.org/I60470151"]},{"id":"https://openalex.org/I60837268","display_name":"King Mongkut's University of Technology Thonburi","ror":"https://ror.org/0057ax056","country_code":"TH","type":"education","lineage":["https://openalex.org/I60837268"]}],"countries":["NG","TH"],"is_corresponding":false,"raw_author_name":"Nasiru Salihu","raw_affiliation_strings":["Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi (KMUTT), Pracha-Uthit, Bagmod, Bangkok, 10140, Thailand","Department of Mathematics, Faculty of Sciences, Modibbo Adama University, Girei Road, Yola, 652105, Adamawa, Nigeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi (KMUTT), Pracha-Uthit, Bagmod, Bangkok, 10140, Thailand","institution_ids":["https://openalex.org/I60837268"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences, Modibbo Adama University, Girei Road, Yola, 652105, Adamawa, Nigeria","institution_ids":["https://openalex.org/I60470151"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036720066","display_name":"Poom Kumam","orcid":"https://orcid.org/0000-0002-5463-4581"},"institutions":[{"id":"https://openalex.org/I60837268","display_name":"King Mongkut's University of Technology Thonburi","ror":"https://ror.org/0057ax056","country_code":"TH","type":"education","lineage":["https://openalex.org/I60837268"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Poom Kumam","raw_affiliation_strings":["Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi (KMUTT), Pracha-Uthit, Bagmod, Bangkok, 10140, Thailand","KMUTT-Fixed Point Research Laboratory, Room SCL 802, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi (KMUTT), Pracha-Uthit, Bagmod, Bangkok, 10140, Thailand"],"raw_orcid":"https://orcid.org/0000-0002-5463-4581","affiliations":[{"raw_affiliation_string":"Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi (KMUTT), Pracha-Uthit, Bagmod, Bangkok, 10140, Thailand","institution_ids":["https://openalex.org/I60837268"]},{"raw_affiliation_string":"KMUTT-Fixed Point Research Laboratory, Room SCL 802, Science Laboratory Building, Department of Mathematics, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi (KMUTT), Pracha-Uthit, Bagmod, Bangkok, 10140, Thailand","institution_ids":["https://openalex.org/I60837268"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018410610","display_name":"Sani Salisu","orcid":"https://orcid.org/0000-0003-3387-4188"},"institutions":[{"id":"https://openalex.org/I3129351386","display_name":"Sule Lamido University Kafin Hausa","ror":"https://ror.org/03rqtbt42","country_code":"NG","type":"education","lineage":["https://openalex.org/I3129351386"]},{"id":"https://openalex.org/I60837268","display_name":"King Mongkut's University of Technology Thonburi","ror":"https://ror.org/0057ax056","country_code":"TH","type":"education","lineage":["https://openalex.org/I60837268"]}],"countries":["NG","TH"],"is_corresponding":false,"raw_author_name":"Sani Salisu","raw_affiliation_strings":["Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi (KMUTT), Pracha-Uthit, Bagmod, Bangkok, 10140, Thailand","Department of Mathematics, Faculty of Natural and Applied Sciences, Sule Lamido University, Kafin Hausa, Jigawa, Nigeria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Faculty of Science, King Mongkut\u2019s University of Technology Thonburi (KMUTT), Pracha-Uthit, Bagmod, Bangkok, 10140, Thailand","institution_ids":["https://openalex.org/I60837268"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Natural and Applied Sciences, Sule Lamido University, Kafin Hausa, Jigawa, Nigeria","institution_ids":["https://openalex.org/I3129351386"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5036720066"],"corresponding_institution_ids":["https://openalex.org/I60837268"],"apc_list":null,"apc_paid":null,"fwci":4.2253,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.95284087,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"43","issue":"7","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9958999752998352,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9882000088691711,"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"}},{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9851999878883362,"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/nonlinear-conjugate-gradient-method","display_name":"Nonlinear conjugate gradient method","score":0.5733784437179565},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.5036091208457947},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5018966197967529},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4815819263458252},{"id":"https://openalex.org/keywords/riemannian-geometry","display_name":"Riemannian geometry","score":0.4771163761615753},{"id":"https://openalex.org/keywords/conjugate","display_name":"Conjugate","score":0.4362640976905823},{"id":"https://openalex.org/keywords/conjugate-points","display_name":"Conjugate points","score":0.4222177565097809},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3113362789154053},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2859538197517395},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.2158288061618805},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.18647310137748718},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1658983826637268},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08202779293060303}],"concepts":[{"id":"https://openalex.org/C26362088","wikidata":"https://www.wikidata.org/wiki/Q17086453","display_name":"Nonlinear conjugate gradient method","level":4,"score":0.5733784437179565},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.5036091208457947},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5018966197967529},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4815819263458252},{"id":"https://openalex.org/C181104567","wikidata":"https://www.wikidata.org/wiki/Q761383","display_name":"Riemannian geometry","level":2,"score":0.4771163761615753},{"id":"https://openalex.org/C197336794","wikidata":"https://www.wikidata.org/wiki/Q5161150","display_name":"Conjugate","level":2,"score":0.4362640976905823},{"id":"https://openalex.org/C2776716506","wikidata":"https://www.wikidata.org/wiki/Q5161158","display_name":"Conjugate points","level":2,"score":0.4222177565097809},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3113362789154053},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2859538197517395},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.2158288061618805},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.18647310137748718},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1658983826637268},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08202779293060303},{"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/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-024-02920-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-024-02920-2","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"1807-0302","issn":["1807-0302","2238-3603"],"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 and Applied Mathematics","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":43,"referenced_works":["https://openalex.org/W1988849934","https://openalex.org/W2012231377","https://openalex.org/W2012960907","https://openalex.org/W2014851363","https://openalex.org/W2016518303","https://openalex.org/W2027470314","https://openalex.org/W2053129565","https://openalex.org/W2058309945","https://openalex.org/W2066743741","https://openalex.org/W2079354271","https://openalex.org/W2091549324","https://openalex.org/W2098528027","https://openalex.org/W2122796095","https://openalex.org/W2122859623","https://openalex.org/W2126407450","https://openalex.org/W2149454052","https://openalex.org/W2225449929","https://openalex.org/W2228488727","https://openalex.org/W2316564661","https://openalex.org/W2502655619","https://openalex.org/W2625981504","https://openalex.org/W2725070694","https://openalex.org/W2978666350","https://openalex.org/W3014571813","https://openalex.org/W3037829719","https://openalex.org/W3083685597","https://openalex.org/W3101059468","https://openalex.org/W3104060928","https://openalex.org/W3129249092","https://openalex.org/W3130811428","https://openalex.org/W3161333715","https://openalex.org/W3166589644","https://openalex.org/W3193368045","https://openalex.org/W3198392353","https://openalex.org/W4205293427","https://openalex.org/W4284678912","https://openalex.org/W4308624735","https://openalex.org/W4315926057","https://openalex.org/W4323539420","https://openalex.org/W4327564986","https://openalex.org/W4383620985","https://openalex.org/W4387742728","https://openalex.org/W4388777786"],"related_works":["https://openalex.org/W2098528027","https://openalex.org/W2375129592","https://openalex.org/W2060532089","https://openalex.org/W3159557833","https://openalex.org/W2005717169","https://openalex.org/W2183734858","https://openalex.org/W4387168483","https://openalex.org/W4319027779","https://openalex.org/W2941778027","https://openalex.org/W1503783781"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-18T10:00:31.954636","created_date":"2025-10-10T00:00:00"}