{"id":"https://openalex.org/W4220987265","doi":"https://doi.org/10.1007/s11075-022-01258-2","title":"A new family of hybrid three-term conjugate gradient methods with applications in image restoration","display_name":"A new family of hybrid three-term conjugate gradient methods with applications in image restoration","publication_year":2022,"publication_date":"2022-03-13","ids":{"openalex":"https://openalex.org/W4220987265","doi":"https://doi.org/10.1007/s11075-022-01258-2"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-022-01258-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-022-01258-2","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/A5032551201","display_name":"Xianzhen Jiang","orcid":"https://orcid.org/0000-0001-7727-7583"},"institutions":[{"id":"https://openalex.org/I167274908","display_name":"Guangxi University for Nationalities","ror":"https://ror.org/0495efn48","country_code":"CN","type":"education","lineage":["https://openalex.org/I167274908"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xianzhen Jiang","raw_affiliation_strings":["College of Mathematics and Physics, Guangxi University for Nationalities, Nanning, 530006, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Physics, Guangxi University for Nationalities, Nanning, 530006, China","institution_ids":["https://openalex.org/I167274908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041648632","display_name":"Wei Liao","orcid":"https://orcid.org/0000-0002-8937-701X"},"institutions":[{"id":"https://openalex.org/I167274908","display_name":"Guangxi University for Nationalities","ror":"https://ror.org/0495efn48","country_code":"CN","type":"education","lineage":["https://openalex.org/I167274908"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Liao","raw_affiliation_strings":["College of Mathematics and Physics, Guangxi University for Nationalities, Nanning, 530006, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Physics, Guangxi University for Nationalities, Nanning, 530006, China","institution_ids":["https://openalex.org/I167274908"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046308447","display_name":"Jianghua Yin","orcid":"https://orcid.org/0000-0002-0990-4327"},"institutions":[{"id":"https://openalex.org/I167274908","display_name":"Guangxi University for Nationalities","ror":"https://ror.org/0495efn48","country_code":"CN","type":"education","lineage":["https://openalex.org/I167274908"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianghua Yin","raw_affiliation_strings":["College of Mathematics and Physics, Guangxi University for Nationalities, Nanning, 530006, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Physics, Guangxi University for Nationalities, Nanning, 530006, China","institution_ids":["https://openalex.org/I167274908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066627199","display_name":"Jinbao Jian","orcid":"https://orcid.org/0000-0001-8048-7397"},"institutions":[{"id":"https://openalex.org/I167274908","display_name":"Guangxi University for Nationalities","ror":"https://ror.org/0495efn48","country_code":"CN","type":"education","lineage":["https://openalex.org/I167274908"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jinbao Jian","raw_affiliation_strings":["College of Mathematics and Physics, Guangxi University for Nationalities, Nanning, 530006, China"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Physics, Guangxi University for Nationalities, Nanning, 530006, China","institution_ids":["https://openalex.org/I167274908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5032551201"],"corresponding_institution_ids":["https://openalex.org/I167274908"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":8.8082,"has_fulltext":false,"cited_by_count":58,"citation_normalized_percentile":{"value":0.99167679,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"91","issue":"1","first_page":"161","last_page":"191"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9991999864578247,"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9991999864578247,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9991000294685364,"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/T11105","display_name":"Advanced Image Processing Techniques","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.8995489478111267},{"id":"https://openalex.org/keywords/line-search","display_name":"Line search","score":0.7650548219680786},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7486341595649719},{"id":"https://openalex.org/keywords/derivation-of-the-conjugate-gradient-method","display_name":"Derivation of the conjugate gradient method","score":0.7270717620849609},{"id":"https://openalex.org/keywords/conjugate-residual-method","display_name":"Conjugate residual method","score":0.7266790866851807},{"id":"https://openalex.org/keywords/nonlinear-conjugate-gradient-method","display_name":"Nonlinear conjugate gradient method","score":0.6717132925987244},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.6473524570465088},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5544638633728027},{"id":"https://openalex.org/keywords/gradient-method","display_name":"Gradient method","score":0.5341728329658508},{"id":"https://openalex.org/keywords/biconjugate-gradient-method","display_name":"Biconjugate gradient method","score":0.5145203471183777},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49531689286231995},{"id":"https://openalex.org/keywords/proximal-gradient-methods","display_name":"Proximal Gradient Methods","score":0.4634068012237549},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.46110138297080994},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44171959161758423},{"id":"https://openalex.org/keywords/conjugate","display_name":"Conjugate","score":0.44021308422088623},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.41672849655151367},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40055951476097107},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.3930264115333557},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.35393768548965454},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21740680932998657},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19921976327896118},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1703939437866211},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15133163332939148},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.13232344388961792}],"concepts":[{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.8995489478111267},{"id":"https://openalex.org/C85522705","wikidata":"https://www.wikidata.org/wiki/Q3278015","display_name":"Line search","level":3,"score":0.7650548219680786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7486341595649719},{"id":"https://openalex.org/C198562538","wikidata":"https://www.wikidata.org/wiki/Q5262612","display_name":"Derivation of the conjugate gradient method","level":5,"score":0.7270717620849609},{"id":"https://openalex.org/C91394653","wikidata":"https://www.wikidata.org/wiki/Q5161159","display_name":"Conjugate residual method","level":4,"score":0.7266790866851807},{"id":"https://openalex.org/C26362088","wikidata":"https://www.wikidata.org/wiki/Q17086453","display_name":"Nonlinear conjugate gradient method","level":4,"score":0.6717132925987244},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.6473524570465088},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5544638633728027},{"id":"https://openalex.org/C115680565","wikidata":"https://www.wikidata.org/wiki/Q5977448","display_name":"Gradient method","level":2,"score":0.5341728329658508},{"id":"https://openalex.org/C89408827","wikidata":"https://www.wikidata.org/wiki/Q855169","display_name":"Biconjugate gradient method","level":5,"score":0.5145203471183777},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49531689286231995},{"id":"https://openalex.org/C10494615","wikidata":"https://www.wikidata.org/wiki/Q17086765","display_name":"Proximal Gradient Methods","level":4,"score":0.4634068012237549},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.46110138297080994},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44171959161758423},{"id":"https://openalex.org/C197336794","wikidata":"https://www.wikidata.org/wiki/Q5161150","display_name":"Conjugate","level":2,"score":0.44021308422088623},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.41672849655151367},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40055951476097107},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.3930264115333557},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.35393768548965454},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21740680932998657},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19921976327896118},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1703939437866211},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15133163332939148},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.13232344388961792},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11075-022-01258-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-022-01258-2","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/G2500223858","display_name":null,"funder_award_id":"11771383","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8855177069","display_name":null,"funder_award_id":"2020GXNSFDA238017","funder_id":"https://openalex.org/F4320322768","funder_display_name":"Natural Science Foundation of Guangxi Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"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":42,"referenced_works":["https://openalex.org/W1565013069","https://openalex.org/W1978621794","https://openalex.org/W1986350092","https://openalex.org/W1999446604","https://openalex.org/W2006468116","https://openalex.org/W2007406620","https://openalex.org/W2012231377","https://openalex.org/W2014851363","https://openalex.org/W2018215034","https://openalex.org/W2020659205","https://openalex.org/W2022013437","https://openalex.org/W2031891766","https://openalex.org/W2033330000","https://openalex.org/W2056603712","https://openalex.org/W2066743741","https://openalex.org/W2075313995","https://openalex.org/W2079993208","https://openalex.org/W2085137170","https://openalex.org/W2085694061","https://openalex.org/W2091549324","https://openalex.org/W2091874256","https://openalex.org/W2122374500","https://openalex.org/W2137900593","https://openalex.org/W2148358298","https://openalex.org/W2149454052","https://openalex.org/W2316564661","https://openalex.org/W2556460356","https://openalex.org/W2564507326","https://openalex.org/W2740813530","https://openalex.org/W2895125619","https://openalex.org/W2900034036","https://openalex.org/W2970983190","https://openalex.org/W2974670071","https://openalex.org/W2982293440","https://openalex.org/W2992733435","https://openalex.org/W2998765062","https://openalex.org/W3035830275","https://openalex.org/W3119071310","https://openalex.org/W3124229293","https://openalex.org/W3179611553","https://openalex.org/W3193368045","https://openalex.org/W6814314487"],"related_works":["https://openalex.org/W3159557833","https://openalex.org/W2947596922","https://openalex.org/W2356365850","https://openalex.org/W4319027779","https://openalex.org/W1999446604","https://openalex.org/W2604655597","https://openalex.org/W2383960336","https://openalex.org/W2379322359","https://openalex.org/W2348618647","https://openalex.org/W3083001479"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":19},{"year":2024,"cited_by_count":16},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":9}],"updated_date":"2026-04-01T17:29:45.350535","created_date":"2025-10-10T00:00:00"}
