{"id":"https://openalex.org/W7117371726","doi":"https://doi.org/10.1007/s43069-025-00594-y","title":"On New Spectral Conjugate Gradient Methods for Riemannian Optimization Using Retraction and Scaled Vector Transport","display_name":"On New Spectral Conjugate Gradient Methods for Riemannian Optimization Using Retraction and Scaled Vector Transport","publication_year":2025,"publication_date":"2025-12-27","ids":{"openalex":"https://openalex.org/W7117371726","doi":"https://doi.org/10.1007/s43069-025-00594-y"},"language":"en","primary_location":{"id":"doi:10.1007/s43069-025-00594-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s43069-025-00594-y","pdf_url":null,"source":{"id":"https://openalex.org/S4210215153","display_name":"Operations Research Forum","issn_l":"2662-2556","issn":["2662-2556"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research Forum","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":true,"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, Department of Mathematics, 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"],"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, Department of Mathematics, 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/A5083266690","display_name":"Poom Kumam","orcid":null},"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":false,"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, Department of Mathematics, King Mongkut\u2019s University of Technology Thonburi (KMUTT), Pracha-Uthit, Bagmod, Bangkok, 10140, Thailand"],"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, Department of Mathematics, King Mongkut\u2019s University of Technology Thonburi (KMUTT), Pracha-Uthit, Bagmod, Bangkok, 10140, Thailand","institution_ids":["https://openalex.org/I60837268"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018410610","display_name":"Sani Salisu","orcid":"https://orcid.org/0000-0003-3387-4188"},"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"]},{"id":"https://openalex.org/I3129351386","display_name":"Sule Lamido University","ror":"https://ror.org/03rqtbt42","country_code":"NG","type":"education","lineage":["https://openalex.org/I3129351386"]}],"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, Department of Mathematics, 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"],"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, Department of Mathematics, 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"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5121408594","display_name":"Kanokwan Sitthithakerngkiet","orcid":null},"institutions":[{"id":"https://openalex.org/I82828225","display_name":"King Mongkut's University of Technology North Bangkok","ror":"https://ror.org/04fy6jb97","country_code":"TH","type":"education","lineage":["https://openalex.org/I82828225"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Kanokwan Sitthithakerngkiet","raw_affiliation_strings":["Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut\u2019s University of Technology North Bangkok (KMUTNB), 1518, Wongsawang, Bangsue, Bangkok, 10800, Thailand"],"affiliations":[{"raw_affiliation_string":"Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut\u2019s University of Technology North Bangkok (KMUTNB), 1518, Wongsawang, Bangsue, Bangkok, 10800, Thailand","institution_ids":["https://openalex.org/I82828225"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5010896941"],"corresponding_institution_ids":["https://openalex.org/I60470151","https://openalex.org/I60837268"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.75880166,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.5758000016212463,"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":0.5758000016212463,"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/T11612","display_name":"Stochastic Gradient Optimization Techniques","score":0.2484000027179718,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10545","display_name":"Optimization and Variational Analysis","score":0.0778999999165535,"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/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.7728000283241272},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.6269000172615051},{"id":"https://openalex.org/keywords/nonlinear-conjugate-gradient-method","display_name":"Nonlinear conjugate gradient method","score":0.5626999735832214},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5519000291824341},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.4004000127315521},{"id":"https://openalex.org/keywords/conjugate-residual-method","display_name":"Conjugate residual method","score":0.3792000114917755},{"id":"https://openalex.org/keywords/conjugate","display_name":"Conjugate","score":0.3269999921321869},{"id":"https://openalex.org/keywords/derivation-of-the-conjugate-gradient-method","display_name":"Derivation of the conjugate gradient method","score":0.3174999952316284}],"concepts":[{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.7728000283241272},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6341999769210815},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.6269000172615051},{"id":"https://openalex.org/C26362088","wikidata":"https://www.wikidata.org/wiki/Q17086453","display_name":"Nonlinear conjugate gradient method","level":4,"score":0.5626999735832214},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5519000291824341},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4674000144004822},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4165000021457672},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.4004000127315521},{"id":"https://openalex.org/C91394653","wikidata":"https://www.wikidata.org/wiki/Q5161159","display_name":"Conjugate residual method","level":4,"score":0.3792000114917755},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3312000036239624},{"id":"https://openalex.org/C197336794","wikidata":"https://www.wikidata.org/wiki/Q5161150","display_name":"Conjugate","level":2,"score":0.3269999921321869},{"id":"https://openalex.org/C198562538","wikidata":"https://www.wikidata.org/wiki/Q5262612","display_name":"Derivation of the conjugate gradient method","level":5,"score":0.3174999952316284},{"id":"https://openalex.org/C2778114796","wikidata":"https://www.wikidata.org/wiki/Q7575194","display_name":"Spectral gap","level":2,"score":0.29319998621940613},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28519999980926514},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.28459998965263367},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.2825999855995178},{"id":"https://openalex.org/C82978714","wikidata":"https://www.wikidata.org/wiki/Q4394657","display_name":"Riemannian submersion","level":5,"score":0.27790001034736633},{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.27790001034736633},{"id":"https://openalex.org/C2776716506","wikidata":"https://www.wikidata.org/wiki/Q5161158","display_name":"Conjugate points","level":2,"score":0.27619999647140503},{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.27390000224113464},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.2680000066757202},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.262800008058548},{"id":"https://openalex.org/C86251818","wikidata":"https://www.wikidata.org/wiki/Q816754","display_name":"Benchmarking","level":2,"score":0.2565000057220459}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s43069-025-00594-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s43069-025-00594-y","pdf_url":null,"source":{"id":"https://openalex.org/S4210215153","display_name":"Operations Research Forum","issn_l":"2662-2556","issn":["2662-2556"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Operations Research Forum","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.45536330342292786}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W150175414","https://openalex.org/W289612689","https://openalex.org/W1999959286","https://openalex.org/W2012231377","https://openalex.org/W2012341322","https://openalex.org/W2027470314","https://openalex.org/W2043226562","https://openalex.org/W2045512849","https://openalex.org/W2058078260","https://openalex.org/W2059012394","https://openalex.org/W2066743741","https://openalex.org/W2072951627","https://openalex.org/W2079354271","https://openalex.org/W2085694061","https://openalex.org/W2091549324","https://openalex.org/W2108560279","https://openalex.org/W2122796095","https://openalex.org/W2126407450","https://openalex.org/W2149454052","https://openalex.org/W2151034540","https://openalex.org/W2225449929","https://openalex.org/W2316564661","https://openalex.org/W2725070694","https://openalex.org/W2898257018","https://openalex.org/W3003257820","https://openalex.org/W3083685597","https://openalex.org/W3130811428","https://openalex.org/W3166589644","https://openalex.org/W4205293427","https://openalex.org/W4285891457","https://openalex.org/W4308624735","https://openalex.org/W4312269929","https://openalex.org/W4315926057","https://openalex.org/W4323539420","https://openalex.org/W4327564986","https://openalex.org/W4399970278","https://openalex.org/W4399970631","https://openalex.org/W4400409260","https://openalex.org/W4402658666","https://openalex.org/W4408518636","https://openalex.org/W4409142137","https://openalex.org/W4412548925","https://openalex.org/W4413241480"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-12-27T23:12:19.206068","created_date":"2025-12-27T00:00:00"}
