{"id":"https://openalex.org/W3166589644","doi":"https://doi.org/10.1007/s10957-021-01874-3","title":"Sufficient Descent Riemannian Conjugate Gradient Methods","display_name":"Sufficient Descent Riemannian Conjugate Gradient Methods","publication_year":2021,"publication_date":"2021-06-02","ids":{"openalex":"https://openalex.org/W3166589644","doi":"https://doi.org/10.1007/s10957-021-01874-3","mag":"3166589644"},"language":"en","primary_location":{"id":"doi:10.1007/s10957-021-01874-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-021-01874-3","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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 Optimization Theory 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/A5007873333","display_name":"Hiroyuki Sakai","orcid":"https://orcid.org/0000-0001-7144-1549"},"institutions":[{"id":"https://openalex.org/I16656306","display_name":"Meiji University","ror":"https://ror.org/02rqvrp93","country_code":"JP","type":"education","lineage":["https://openalex.org/I16656306"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hiroyuki Sakai","raw_affiliation_strings":["Department of Computer Science, Meiji University, 1-1-1 Higashimita, Tama-ku, Kawasakishi, Kanagawa, 214-8571, Japan"],"raw_orcid":"https://orcid.org/0000-0001-7144-1549","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Meiji University, 1-1-1 Higashimita, Tama-ku, Kawasakishi, Kanagawa, 214-8571, Japan","institution_ids":["https://openalex.org/I16656306"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016609320","display_name":"Hideaki Iiduka","orcid":"https://orcid.org/0000-0001-9173-6723"},"institutions":[{"id":"https://openalex.org/I16656306","display_name":"Meiji University","ror":"https://ror.org/02rqvrp93","country_code":"JP","type":"education","lineage":["https://openalex.org/I16656306"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hideaki Iiduka","raw_affiliation_strings":["Department of Computer Science, Meiji University, 1-1-1 Higashimita, Tama-ku, Kawasakishi, Kanagawa, 214-8571, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Meiji University, 1-1-1 Higashimita, Tama-ku, Kawasakishi, Kanagawa, 214-8571, Japan","institution_ids":["https://openalex.org/I16656306"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007873333"],"corresponding_institution_ids":["https://openalex.org/I16656306"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":5.5929,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.96916856,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"190","issue":"1","first_page":"130","last_page":"150"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9966999888420105,"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":0.9966999888420105,"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/T12661","display_name":"Iterative Methods for Nonlinear Equations","score":0.9918000102043152,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9894000291824341,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8181860446929932},{"id":"https://openalex.org/keywords/line-search","display_name":"Line search","score":0.8180311918258667},{"id":"https://openalex.org/keywords/nonlinear-conjugate-gradient-method","display_name":"Nonlinear conjugate gradient method","score":0.7301957607269287},{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.6728388667106628},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5468336343765259},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.5414095520973206},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.5192551612854004},{"id":"https://openalex.org/keywords/descent-direction","display_name":"Descent direction","score":0.47257888317108154},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.46921005845069885},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.43053847551345825},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4172053933143616},{"id":"https://openalex.org/keywords/stochastic-gradient-descent","display_name":"Stochastic gradient descent","score":0.41557109355926514},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3872471749782562},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33881592750549316},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1304989457130432},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07719668745994568}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8181860446929932},{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.8180311918258667},{"id":"https://openalex.org/C26362088","wikidata":"https://www.wikidata.org/wiki/Q17086453","display_name":"Nonlinear conjugate gradient method","level":4,"score":0.7301957607269287},{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.6728388667106628},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5468336343765259},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.5414095520973206},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.5192551612854004},{"id":"https://openalex.org/C116149140","wikidata":"https://www.wikidata.org/wiki/Q2070951","display_name":"Descent direction","level":4,"score":0.47257888317108154},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.46921005845069885},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.43053847551345825},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4172053933143616},{"id":"https://openalex.org/C206688291","wikidata":"https://www.wikidata.org/wiki/Q7617819","display_name":"Stochastic gradient descent","level":3,"score":0.41557109355926514},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3872471749782562},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33881592750549316},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1304989457130432},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07719668745994568},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"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/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"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},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10957-021-01874-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10957-021-01874-3","pdf_url":null,"source":{"id":"https://openalex.org/S52430896","display_name":"Journal of Optimization Theory and Applications","issn_l":"0022-3239","issn":["0022-3239","1573-2878"],"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 Optimization Theory and Applications","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:joptap:v:190:y:2021:i:1:d:10.1007_s10957-021-01874-3","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10957-021-01874-3","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":[{"id":"https://metadata.un.org/sdg/10","score":0.4300000071525574,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G8473739110","display_name":null,"funder_award_id":"JP18K11184","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W89654658","https://openalex.org/W150175414","https://openalex.org/W1565013069","https://openalex.org/W1804110266","https://openalex.org/W1923779967","https://openalex.org/W1988849934","https://openalex.org/W2004669532","https://openalex.org/W2012231377","https://openalex.org/W2012960907","https://openalex.org/W2014851363","https://openalex.org/W2018215034","https://openalex.org/W2058078260","https://openalex.org/W2079354271","https://openalex.org/W2091549324","https://openalex.org/W2098528027","https://openalex.org/W2108560279","https://openalex.org/W2122796095","https://openalex.org/W2149454052","https://openalex.org/W2151034540","https://openalex.org/W2158894942","https://openalex.org/W2225449929","https://openalex.org/W2316564661","https://openalex.org/W2556460356","https://openalex.org/W2612421023","https://openalex.org/W2789558982","https://openalex.org/W2964248225","https://openalex.org/W3029645440","https://openalex.org/W3040283615","https://openalex.org/W3083685597","https://openalex.org/W3098671196","https://openalex.org/W3104060928","https://openalex.org/W4205293427","https://openalex.org/W4235476591","https://openalex.org/W4300448178"],"related_works":["https://openalex.org/W2381924799","https://openalex.org/W4226095963","https://openalex.org/W1999118587","https://openalex.org/W4319027779","https://openalex.org/W2374052801","https://openalex.org/W2761098424","https://openalex.org/W2615612939","https://openalex.org/W4306685660","https://openalex.org/W1964845142","https://openalex.org/W2384571804"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":14},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
