{"id":"https://openalex.org/W3094968720","doi":"https://doi.org/10.1007/s11075-020-01017-1","title":"New subspace minimization conjugate gradient methods based on regularization model for unconstrained optimization","display_name":"New subspace minimization conjugate gradient methods based on regularization model for unconstrained optimization","publication_year":2020,"publication_date":"2020-10-28","ids":{"openalex":"https://openalex.org/W3094968720","doi":"https://doi.org/10.1007/s11075-020-01017-1","mag":"3094968720"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-020-01017-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-020-01017-1","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","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/A5088706062","display_name":"Ting Gang Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ting Zhao","raw_affiliation_strings":["School of Mathematics and Statistics, Xidian University, Xi\u2019an, 710126, China","School of Mathematics and Statistics, Xidian University, Xi'an, 710126, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xidian University, Xi\u2019an, 710126, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xidian University, Xi'an, 710126, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100411968","display_name":"Hongwei Liu","orcid":"https://orcid.org/0000-0003-4046-163X"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hongwei Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Xidian University, Xi\u2019an, 710126, China","School of Mathematics and Statistics, Xidian University, Xi'an, 710126, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xidian University, Xi\u2019an, 710126, China","institution_ids":["https://openalex.org/I149594827"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Xidian University, Xi'an, 710126, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027890976","display_name":"Zexian Liu","orcid":"https://orcid.org/0000-0001-9698-0610"},"institutions":[{"id":"https://openalex.org/I178232147","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916","country_code":"CN","type":"education","lineage":["https://openalex.org/I178232147"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zexian Liu","raw_affiliation_strings":["School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, China","State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, 100190, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Guizhou University, Guiyang, 550025, China","institution_ids":["https://openalex.org/I178232147"]},{"raw_affiliation_string":"State Key Laboratory of Scientific and Engineering Computing, Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, 100190, China","institution_ids":["https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100411968"],"corresponding_institution_ids":["https://openalex.org/I149594827"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":2.9729,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.91371376,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"87","issue":"4","first_page":"1501","last_page":"1534"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9997000098228455,"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":0.9997000098228455,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9976999759674072,"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":0.9884999990463257,"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":0.8637191653251648},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8137171268463135},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.6964012980461121},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.6865970492362976},{"id":"https://openalex.org/keywords/line-search","display_name":"Line search","score":0.619493305683136},{"id":"https://openalex.org/keywords/conjugate-residual-method","display_name":"Conjugate residual method","score":0.6166718602180481},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5929359197616577},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5675337910652161},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5459328293800354},{"id":"https://openalex.org/keywords/nonlinear-conjugate-gradient-method","display_name":"Nonlinear conjugate gradient method","score":0.5406249761581421},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.5323861837387085},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.5248380303382874},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.49112436175346375},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4242342412471771},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.2958182096481323},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28266915678977966},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2253091037273407},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.22485628724098206},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.120777428150177},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.07565391063690186}],"concepts":[{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.8637191653251648},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8137171268463135},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.6964012980461121},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6865970492362976},{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.619493305683136},{"id":"https://openalex.org/C91394653","wikidata":"https://www.wikidata.org/wiki/Q5161159","display_name":"Conjugate residual method","level":4,"score":0.6166718602180481},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5929359197616577},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5675337910652161},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5459328293800354},{"id":"https://openalex.org/C26362088","wikidata":"https://www.wikidata.org/wiki/Q17086453","display_name":"Nonlinear conjugate gradient method","level":4,"score":0.5406249761581421},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.5323861837387085},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.5248380303382874},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.49112436175346375},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4242342412471771},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2958182096481323},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28266915678977966},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2253091037273407},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.22485628724098206},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.120777428150177},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.07565391063690186},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"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/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-020-01017-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-020-01017-1","pdf_url":null,"source":{"id":"https://openalex.org/S117494069","display_name":"Numerical Algorithms","issn_l":"1017-1398","issn":["1017-1398","1572-9265"],"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":"Numerical Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7976406561","display_name":null,"funder_award_id":"2018GXNSFBA281180","funder_id":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province"},{"id":"https://openalex.org/G8110208356","display_name":null,"funder_award_id":"11901561","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8238036963","display_name":null,"funder_award_id":"2019M660833","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320322768","display_name":"Natural Science Foundation of Guangxi Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":49,"referenced_works":["https://openalex.org/W89654658","https://openalex.org/W644650476","https://openalex.org/W937190428","https://openalex.org/W1971664328","https://openalex.org/W1977109023","https://openalex.org/W1978347765","https://openalex.org/W1979539583","https://openalex.org/W1994974865","https://openalex.org/W1999233724","https://openalex.org/W2004461831","https://openalex.org/W2008374458","https://openalex.org/W2009941369","https://openalex.org/W2012231377","https://openalex.org/W2014851363","https://openalex.org/W2018215034","https://openalex.org/W2030840351","https://openalex.org/W2036795720","https://openalex.org/W2038087099","https://openalex.org/W2050768044","https://openalex.org/W2051247543","https://openalex.org/W2051434435","https://openalex.org/W2075313995","https://openalex.org/W2076605490","https://openalex.org/W2085137170","https://openalex.org/W2091549324","https://openalex.org/W2091874256","https://openalex.org/W2110017196","https://openalex.org/W2149454052","https://openalex.org/W2156005216","https://openalex.org/W2157725068","https://openalex.org/W2167137033","https://openalex.org/W2236603166","https://openalex.org/W2316564661","https://openalex.org/W2334809277","https://openalex.org/W2377777689","https://openalex.org/W2469503150","https://openalex.org/W2471988522","https://openalex.org/W2510806995","https://openalex.org/W2558881672","https://openalex.org/W2586727428","https://openalex.org/W2669391889","https://openalex.org/W2743352242","https://openalex.org/W2767148939","https://openalex.org/W2888341690","https://openalex.org/W2892724185","https://openalex.org/W2898829052","https://openalex.org/W2963830980","https://openalex.org/W3099634386","https://openalex.org/W3124935345"],"related_works":["https://openalex.org/W2183734858","https://openalex.org/W2356977358","https://openalex.org/W3107945686","https://openalex.org/W4229957265","https://openalex.org/W2060532089","https://openalex.org/W2381924799","https://openalex.org/W2358414513","https://openalex.org/W2349115186","https://openalex.org/W2384571804","https://openalex.org/W2375347328"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}