{"id":"https://openalex.org/W3118935872","doi":"https://doi.org/10.1007/s40314-020-01383-5","title":"A modified parameterized shift-splitting preconditioner for saddle point problems","display_name":"A modified parameterized shift-splitting preconditioner for saddle point problems","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3118935872","doi":"https://doi.org/10.1007/s40314-020-01383-5","mag":"3118935872"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-020-01383-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-01383-5","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","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/A5100404772","display_name":"Bo Wu","orcid":"https://orcid.org/0000-0001-5621-7653"},"institutions":[{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Wu","raw_affiliation_strings":["School of Mathematics and Information Science, Shaanxi Normal University, Xi\u2019an, 710062, Shaanxi, China","School of Mathematics and Information Science, Shaanxi Normal University, Xi'an, 710062, Shaanxi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Shaanxi Normal University, Xi\u2019an, 710062, Shaanxi, China","institution_ids":["https://openalex.org/I88830068"]},{"raw_affiliation_string":"School of Mathematics and Information Science, Shaanxi Normal University, Xi'an, 710062, Shaanxi, China","institution_ids":["https://openalex.org/I88830068"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5087435963","display_name":"Xingbao Gao","orcid":"https://orcid.org/0000-0002-3253-7529"},"institutions":[{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xing-Bao Gao","raw_affiliation_strings":["School of Mathematics and Information Science, Shaanxi Normal University, Xi\u2019an, 710062, Shaanxi, China","School of Mathematics and Information Science, Shaanxi Normal University, Xi'an, 710062, Shaanxi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Shaanxi Normal University, Xi\u2019an, 710062, Shaanxi, China","institution_ids":["https://openalex.org/I88830068"]},{"raw_affiliation_string":"School of Mathematics and Information Science, Shaanxi Normal University, Xi'an, 710062, Shaanxi, China","institution_ids":["https://openalex.org/I88830068"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5087435963"],"corresponding_institution_ids":["https://openalex.org/I88830068"],"apc_list":null,"apc_paid":null,"fwci":3.9086,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.94053092,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"40","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":1.0,"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":1.0,"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/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10339","display_name":"Advanced Numerical Methods in Computational Mathematics","score":0.9787999987602234,"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/preconditioner","display_name":"Preconditioner","score":0.9798575043678284},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.879406213760376},{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.8459711074829102},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7075898051261902},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6993021368980408},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.581763744354248},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.547123372554779},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.528107762336731},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.45424968004226685},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.42503926157951355},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.27765369415283203},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16914451122283936},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08435755968093872},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06614488363265991}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.9798575043678284},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.879406213760376},{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.8459711074829102},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7075898051261902},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6993021368980408},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.581763744354248},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.547123372554779},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.528107762336731},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.45424968004226685},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.42503926157951355},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.27765369415283203},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16914451122283936},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08435755968093872},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06614488363265991},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-020-01383-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-020-01383-5","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"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":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5397056036","display_name":null,"funder_award_id":"61273311","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":48,"referenced_works":["https://openalex.org/W1201292819","https://openalex.org/W1598407593","https://openalex.org/W1971116595","https://openalex.org/W1979125951","https://openalex.org/W1981494447","https://openalex.org/W1982069796","https://openalex.org/W1996107448","https://openalex.org/W2004760999","https://openalex.org/W2026635066","https://openalex.org/W2036236178","https://openalex.org/W2049726926","https://openalex.org/W2061519473","https://openalex.org/W2066152591","https://openalex.org/W2077441566","https://openalex.org/W2077866399","https://openalex.org/W2084191164","https://openalex.org/W2084740841","https://openalex.org/W2088456940","https://openalex.org/W2092439735","https://openalex.org/W2094700242","https://openalex.org/W2107722226","https://openalex.org/W2141870784","https://openalex.org/W2143228255","https://openalex.org/W2224945857","https://openalex.org/W2310340124","https://openalex.org/W2508875522","https://openalex.org/W2520118581","https://openalex.org/W2551573654","https://openalex.org/W2560925817","https://openalex.org/W2562377750","https://openalex.org/W2583574157","https://openalex.org/W2588081979","https://openalex.org/W2606763702","https://openalex.org/W2758237693","https://openalex.org/W2801812810","https://openalex.org/W2900665543","https://openalex.org/W2900715544","https://openalex.org/W2900786908","https://openalex.org/W2913027836","https://openalex.org/W2919041250","https://openalex.org/W2942088516","https://openalex.org/W2963361373","https://openalex.org/W2979663116","https://openalex.org/W3021334304","https://openalex.org/W3096141215","https://openalex.org/W3146410598","https://openalex.org/W4211094263","https://openalex.org/W4299343067"],"related_works":["https://openalex.org/W2401310550","https://openalex.org/W2381322109","https://openalex.org/W1189497506","https://openalex.org/W3146410598","https://openalex.org/W2767153625","https://openalex.org/W1970706285","https://openalex.org/W1982069796","https://openalex.org/W2999046577","https://openalex.org/W3096141215","https://openalex.org/W2953179678"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}