{"id":"https://openalex.org/W3025232788","doi":"https://doi.org/10.1007/s42514-020-00029-6","title":"A parallel generalized conjugate gradient method for large scale eigenvalue problems","display_name":"A parallel generalized conjugate gradient method for large scale eigenvalue problems","publication_year":2020,"publication_date":"2020-05-11","ids":{"openalex":"https://openalex.org/W3025232788","doi":"https://doi.org/10.1007/s42514-020-00029-6","mag":"3025232788"},"language":"en","primary_location":{"id":"doi:10.1007/s42514-020-00029-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s42514-020-00029-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210190911","display_name":"CCF Transactions on High Performance Computing","issn_l":"2524-4922","issn":["2524-4922","2524-4930"],"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":"CCF Transactions on High Performance Computing","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/A5100345728","display_name":"Yu Li","orcid":"https://orcid.org/0000-0002-2246-8005"},"institutions":[{"id":"https://openalex.org/I193524592","display_name":"Tianjin University of Finance and Economics","ror":"https://ror.org/05ev1jb90","country_code":"CN","type":"education","lineage":["https://openalex.org/I193524592"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Li","raw_affiliation_strings":["Coordinated Innovation Center for Computable Modeling in Management Science, Tianjin University of Finance and Economics, Tianjin, 300222, China"],"affiliations":[{"raw_affiliation_string":"Coordinated Innovation Center for Computable Modeling in Management Science, Tianjin University of Finance and Economics, Tianjin, 300222, China","institution_ids":["https://openalex.org/I193524592"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052078853","display_name":"Hehu Xie","orcid":"https://orcid.org/0000-0002-1947-9256"},"institutions":[{"id":"https://openalex.org/I4210095018","display_name":"National Center for Mathematics and Interdisciplinary Sciences","ror":"https://ror.org/00s97k668","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210095018"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hehu Xie","raw_affiliation_strings":["ICMSEC, LSEC, NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China","School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China"],"affiliations":[{"raw_affiliation_string":"ICMSEC, LSEC, NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I4210095018","https://openalex.org/I19820366"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101651279","display_name":"Ran Xu","orcid":"https://orcid.org/0000-0003-0456-1959"},"institutions":[{"id":"https://openalex.org/I4210119692","display_name":"Numerical Method (China)","ror":"https://ror.org/02ns8zp42","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210119692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ran Xu","raw_affiliation_strings":["CAEP Software Center for High Performance Numerical Simulation, No. 6, Huayuan Road, Haidian District, Beijing, 100088, China"],"affiliations":[{"raw_affiliation_string":"CAEP Software Center for High Performance Numerical Simulation, No. 6, Huayuan Road, Haidian District, Beijing, 100088, China","institution_ids":["https://openalex.org/I4210119692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100547376","display_name":"Chun\u2019guang You","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119692","display_name":"Numerical Method (China)","ror":"https://ror.org/02ns8zp42","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210119692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chun\u2019guang You","raw_affiliation_strings":["CAEP Software Center for High Performance Numerical Simulation, No. 6, Huayuan Road, Haidian District, Beijing, 100088, China"],"affiliations":[{"raw_affiliation_string":"CAEP Software Center for High Performance Numerical Simulation, No. 6, Huayuan Road, Haidian District, Beijing, 100088, China","institution_ids":["https://openalex.org/I4210119692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072280593","display_name":"Ning Zhang","orcid":"https://orcid.org/0000-0001-8593-079X"},"institutions":[{"id":"https://openalex.org/I4210128819","display_name":"Institute of Electrical Engineering","ror":"https://ror.org/033js6g46","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128819"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ning Zhang","raw_affiliation_strings":["Institute of Electrical Engineering, Chinese Academy of Sciences, No. 6, Beiertiao, Zhongguancun, Haidian, Beijing, 100190, China"],"affiliations":[{"raw_affiliation_string":"Institute of Electrical Engineering, Chinese Academy of Sciences, No. 6, Beiertiao, Zhongguancun, Haidian, Beijing, 100190, China","institution_ids":["https://openalex.org/I4210128819","https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5052078853"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210095018","https://openalex.org/I4210120485","https://openalex.org/I4210165038"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2790},"apc_paid":null,"fwci":1.1548,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.83175229,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"2","issue":"2","first_page":"111","last_page":"122"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9891999959945679,"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/T10320","display_name":"Neural Networks and Applications","score":0.9825000166893005,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conjugate-gradient-method","display_name":"Conjugate gradient method","score":0.9093693494796753},{"id":"https://openalex.org/keywords/orthogonalization","display_name":"Orthogonalization","score":0.7760827541351318},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.706466794013977},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6256837844848633},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5939011573791504},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.5663954019546509},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5657348036766052},{"id":"https://openalex.org/keywords/scale","display_name":"Scale (ratio)","score":0.48752519488334656},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4665980339050293},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.452776700258255},{"id":"https://openalex.org/keywords/conjugate-residual-method","display_name":"Conjugate residual method","score":0.4352131485939026},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4112272560596466},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.39542803168296814},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3731429874897003},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3072788715362549},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12035447359085083},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07920002937316895},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07318001985549927}],"concepts":[{"id":"https://openalex.org/C81184566","wikidata":"https://www.wikidata.org/wiki/Q1191895","display_name":"Conjugate gradient method","level":2,"score":0.9093693494796753},{"id":"https://openalex.org/C47559304","wikidata":"https://www.wikidata.org/wiki/Q1702189","display_name":"Orthogonalization","level":2,"score":0.7760827541351318},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.706466794013977},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6256837844848633},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5939011573791504},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.5663954019546509},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5657348036766052},{"id":"https://openalex.org/C2778755073","wikidata":"https://www.wikidata.org/wiki/Q10858537","display_name":"Scale (ratio)","level":2,"score":0.48752519488334656},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4665980339050293},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.452776700258255},{"id":"https://openalex.org/C91394653","wikidata":"https://www.wikidata.org/wiki/Q5161159","display_name":"Conjugate residual method","level":4,"score":0.4352131485939026},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4112272560596466},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.39542803168296814},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3731429874897003},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3072788715362549},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12035447359085083},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07920002937316895},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07318001985549927},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s42514-020-00029-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s42514-020-00029-6","pdf_url":null,"source":{"id":"https://openalex.org/S4210190911","display_name":"CCF Transactions on High Performance Computing","issn_l":"2524-4922","issn":["2524-4922","2524-4930"],"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":"CCF Transactions on High Performance Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8100000023841858,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G1258155048","display_name":null,"funder_award_id":"TZ2016002","funder_id":"https://openalex.org/F4320336025","funder_display_name":"Science Challenge Project"},{"id":"https://openalex.org/G3065321499","display_name":null,"funder_award_id":"11771434","funder_id":"https://openalex.org/F4320332587","funder_display_name":"Natural Science Foundation of Ningbo"},{"id":"https://openalex.org/G579792971","display_name":null,"funder_award_id":"91730302","funder_id":"https://openalex.org/F4320332587","funder_display_name":"Natural Science Foundation of Ningbo"}],"funders":[{"id":"https://openalex.org/F4320332587","display_name":"Natural Science Foundation of Ningbo","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320336025","display_name":"Science Challenge Project","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1522512418","https://openalex.org/W1563653928","https://openalex.org/W1569090332","https://openalex.org/W2001135345","https://openalex.org/W2011655084","https://openalex.org/W2040436854","https://openalex.org/W2051142108","https://openalex.org/W2053107666","https://openalex.org/W2342748186","https://openalex.org/W2480854438","https://openalex.org/W2604784449","https://openalex.org/W2610012734","https://openalex.org/W3098493705","https://openalex.org/W3102398037","https://openalex.org/W3150221135","https://openalex.org/W4229666556"],"related_works":["https://openalex.org/W2129625121","https://openalex.org/W2375597358","https://openalex.org/W2356365850","https://openalex.org/W2383960336","https://openalex.org/W2353110519","https://openalex.org/W3159557833","https://openalex.org/W2352936229","https://openalex.org/W3159907817","https://openalex.org/W3123621400","https://openalex.org/W4362580740"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}