{"id":"https://openalex.org/W2522624197","doi":"https://doi.org/10.1007/s11227-016-1881-x","title":"A parallel solving method for block-tridiagonal equations on CPU\u2013GPU heterogeneous computing systems","display_name":"A parallel solving method for block-tridiagonal equations on CPU\u2013GPU heterogeneous computing systems","publication_year":2016,"publication_date":"2016-09-22","ids":{"openalex":"https://openalex.org/W2522624197","doi":"https://doi.org/10.1007/s11227-016-1881-x","mag":"2522624197"},"language":"en","primary_location":{"id":"doi:10.1007/s11227-016-1881-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11227-016-1881-x","pdf_url":null,"source":{"id":"https://openalex.org/S32326811","display_name":"The Journal of Supercomputing","issn_l":"0920-8542","issn":["0920-8542","1573-0484"],"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":"The Journal of Supercomputing","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/A5016247312","display_name":"Wangdong Yang","orcid":"https://orcid.org/0000-0003-2681-7898"},"institutions":[{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wangdong Yang","raw_affiliation_strings":["College of Information Science and Engineering, Hunan University, Changsha, 410008, Hunan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Hunan University, Changsha, 410008, Hunan, China","institution_ids":["https://openalex.org/I16609230"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078793726","display_name":"Kenli Li","orcid":"https://orcid.org/0000-0002-2635-7716"},"institutions":[{"id":"https://openalex.org/I157455823","display_name":"SUNY New Paltz","ror":"https://ror.org/03j3dv688","country_code":"US","type":"education","lineage":["https://openalex.org/I157455823"]},{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Kenli Li","raw_affiliation_strings":["College of Information Science and Engineering, Hunan University, Changsha, 410008, Hunan, China","Department of Computer Science, State University of New York, New Paltz, NY, 12561, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Hunan University, Changsha, 410008, Hunan, China","institution_ids":["https://openalex.org/I16609230"]},{"raw_affiliation_string":"Department of Computer Science, State University of New York, New Paltz, NY, 12561, USA","institution_ids":["https://openalex.org/I157455823"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087894632","display_name":"Keqin Li","orcid":"https://orcid.org/0000-0001-5224-4048"},"institutions":[{"id":"https://openalex.org/I157455823","display_name":"SUNY New Paltz","ror":"https://ror.org/03j3dv688","country_code":"US","type":"education","lineage":["https://openalex.org/I157455823"]},{"id":"https://openalex.org/I16609230","display_name":"Hunan University","ror":"https://ror.org/05htk5m33","country_code":"CN","type":"education","lineage":["https://openalex.org/I16609230"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Keqin Li","raw_affiliation_strings":["College of Information Science and Engineering, Hunan University, Changsha, 410008, Hunan, China","Department of Computer Science, State University of New York, New Paltz, NY, 12561, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Engineering, Hunan University, Changsha, 410008, Hunan, China","institution_ids":["https://openalex.org/I16609230"]},{"raw_affiliation_string":"Department of Computer Science, State University of New York, New Paltz, NY, 12561, USA","institution_ids":["https://openalex.org/I157455823"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5016247312"],"corresponding_institution_ids":["https://openalex.org/I16609230"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":3.2609,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.92657927,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"73","issue":"5","first_page":"1760","last_page":"1781"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9991000294685364,"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":0.9991000294685364,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T12292","display_name":"Graph Theory and Algorithms","score":0.9897000193595886,"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/tridiagonal-matrix","display_name":"Tridiagonal matrix","score":0.935615062713623},{"id":"https://openalex.org/keywords/tridiagonal-matrix-algorithm","display_name":"Tridiagonal matrix algorithm","score":0.785889744758606},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7192646265029907},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5930655002593994},{"id":"https://openalex.org/keywords/system-of-linear-equations","display_name":"System of linear equations","score":0.5855411887168884},{"id":"https://openalex.org/keywords/block-matrix","display_name":"Block matrix","score":0.5307507514953613},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5080511569976807},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5012693405151367},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.49735191464424133},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.4734342098236084},{"id":"https://openalex.org/keywords/alternating-direction-implicit-method","display_name":"Alternating direction implicit method","score":0.4505617022514343},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44263720512390137},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4219769835472107},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4048127830028534},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.22334200143814087},{"id":"https://openalex.org/keywords/finite-difference-method","display_name":"Finite difference method","score":0.12114056944847107},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06878200173377991}],"concepts":[{"id":"https://openalex.org/C51647924","wikidata":"https://www.wikidata.org/wiki/Q1755277","display_name":"Tridiagonal matrix","level":3,"score":0.935615062713623},{"id":"https://openalex.org/C176603272","wikidata":"https://www.wikidata.org/wiki/Q1819156","display_name":"Tridiagonal matrix algorithm","level":4,"score":0.785889744758606},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7192646265029907},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5930655002593994},{"id":"https://openalex.org/C94523830","wikidata":"https://www.wikidata.org/wiki/Q11203","display_name":"System of linear equations","level":2,"score":0.5855411887168884},{"id":"https://openalex.org/C85817219","wikidata":"https://www.wikidata.org/wiki/Q884772","display_name":"Block matrix","level":3,"score":0.5307507514953613},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5080511569976807},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5012693405151367},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.49735191464424133},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.4734342098236084},{"id":"https://openalex.org/C142363948","wikidata":"https://www.wikidata.org/wiki/Q4736413","display_name":"Alternating direction implicit method","level":3,"score":0.4505617022514343},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44263720512390137},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4219769835472107},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4048127830028534},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.22334200143814087},{"id":"https://openalex.org/C205951836","wikidata":"https://www.wikidata.org/wiki/Q1147751","display_name":"Finite difference method","level":2,"score":0.12114056944847107},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06878200173377991},{"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},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11227-016-1881-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11227-016-1881-x","pdf_url":null,"source":{"id":"https://openalex.org/S32326811","display_name":"The Journal of Supercomputing","issn_l":"0920-8542","issn":["0920-8542","1573-0484"],"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":"The Journal of Supercomputing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G30034585","display_name":"\u9ad8\u9636\u5e7f\u4e49k-\u5bf9\u89d2\u7ebf\u6027\u7cfb\u7edf\u7684\u5f02\u6784\u534f\u540c\u5e76\u884c\u6c42\u89e3\u7b97\u6cd5\u7814\u7a76\u4e0e\u63a2\u7d22","funder_award_id":"61572175","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G662528876","display_name":null,"funder_award_id":"61472124","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6925281636","display_name":"\u5f02\u6784\u5e76\u884c\u73af\u5883\u4e0b\u7684MapReduce\u8d44\u6e90\u8c03\u5ea6\u6a21\u578b\u4e0e\u65b9\u6cd5\u7814\u7a76","funder_award_id":"61370095","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":65,"referenced_works":["https://openalex.org/W71585271","https://openalex.org/W88372495","https://openalex.org/W91486152","https://openalex.org/W111941793","https://openalex.org/W654224182","https://openalex.org/W1513335789","https://openalex.org/W1513967072","https://openalex.org/W1564151392","https://openalex.org/W1582904990","https://openalex.org/W1623797490","https://openalex.org/W1667786183","https://openalex.org/W1964035618","https://openalex.org/W1971321752","https://openalex.org/W1974312429","https://openalex.org/W1983598093","https://openalex.org/W1986289864","https://openalex.org/W1990262300","https://openalex.org/W1990523337","https://openalex.org/W2004158993","https://openalex.org/W2006850990","https://openalex.org/W2016279572","https://openalex.org/W2017281640","https://openalex.org/W2017838066","https://openalex.org/W2017955994","https://openalex.org/W2023096360","https://openalex.org/W2025890876","https://openalex.org/W2028207719","https://openalex.org/W2028244810","https://openalex.org/W2028526701","https://openalex.org/W2032861796","https://openalex.org/W2034258707","https://openalex.org/W2035244469","https://openalex.org/W2043990347","https://openalex.org/W2049895220","https://openalex.org/W2051757912","https://openalex.org/W2053999255","https://openalex.org/W2057847456","https://openalex.org/W2065176464","https://openalex.org/W2079903960","https://openalex.org/W2082238959","https://openalex.org/W2084816635","https://openalex.org/W2095389029","https://openalex.org/W2099297649","https://openalex.org/W2101196233","https://openalex.org/W2102512593","https://openalex.org/W2107312032","https://openalex.org/W2108137271","https://openalex.org/W2115889831","https://openalex.org/W2131542146","https://openalex.org/W2154467584","https://openalex.org/W2161802827","https://openalex.org/W2165220841","https://openalex.org/W2183156981","https://openalex.org/W2188362308","https://openalex.org/W2461005004","https://openalex.org/W2596951540","https://openalex.org/W2759789643","https://openalex.org/W2950203072","https://openalex.org/W2963821314","https://openalex.org/W3023634467","https://openalex.org/W3098413017","https://openalex.org/W4254708785","https://openalex.org/W4292671973","https://openalex.org/W4300666158","https://openalex.org/W4392145404"],"related_works":["https://openalex.org/W2111259928","https://openalex.org/W2088506018","https://openalex.org/W2043555141","https://openalex.org/W2358629369","https://openalex.org/W2353337315","https://openalex.org/W2075390929","https://openalex.org/W3000091026","https://openalex.org/W3048495831","https://openalex.org/W2345127431","https://openalex.org/W2157946039"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
