{"id":"https://openalex.org/W2189420185","doi":"https://doi.org/10.1007/s11075-015-0068-5","title":"A relaxed positive semi-definite and skew-Hermitian splitting preconditioner for non-Hermitian generalized saddle point problems","display_name":"A relaxed positive semi-definite and skew-Hermitian splitting preconditioner for non-Hermitian generalized saddle point problems","publication_year":2015,"publication_date":"2015-10-21","ids":{"openalex":"https://openalex.org/W2189420185","doi":"https://doi.org/10.1007/s11075-015-0068-5","mag":"2189420185"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-015-0068-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-015-0068-5","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/A5102743785","display_name":"Hongtao Fan","orcid":"https://orcid.org/0000-0003-2152-6768"},"institutions":[{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hong-tao Fan","raw_affiliation_strings":["School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, China","institution_ids":["https://openalex.org/I76214153"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062302772","display_name":"Bing Zheng","orcid":"https://orcid.org/0000-0003-0552-835X"},"institutions":[{"id":"https://openalex.org/I76214153","display_name":"Lanzhou University","ror":"https://ror.org/01mkqqe32","country_code":"CN","type":"education","lineage":["https://openalex.org/I76214153"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bing Zheng","raw_affiliation_strings":["School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu, 730000, China","institution_ids":["https://openalex.org/I76214153"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026742133","display_name":"Xinyun Zhu","orcid":"https://orcid.org/0000-0002-5260-5445"},"institutions":[{"id":"https://openalex.org/I114580094","display_name":"The University of Texas of the Permian Basin","ror":"https://ror.org/051smbs96","country_code":"US","type":"education","lineage":["https://openalex.org/I114580094"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xin-yun Zhu","raw_affiliation_strings":["Department of Mathematics, University of Texas of the Permian Basin, Odessa, TX, 79762, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Texas of the Permian Basin, Odessa, TX, 79762, USA","institution_ids":["https://openalex.org/I114580094"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5102743785"],"corresponding_institution_ids":["https://openalex.org/I76214153"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":3.6385,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.93445863,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"72","issue":"3","first_page":"813","last_page":"834"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9998999834060669,"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":0.9998999834060669,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9926000237464905,"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/preconditioner","display_name":"Preconditioner","score":0.9699982404708862},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7967958450317383},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.7658559679985046},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.6962597370147705},{"id":"https://openalex.org/keywords/krylov-subspace","display_name":"Krylov subspace","score":0.6799777746200562},{"id":"https://openalex.org/keywords/positive-definite-matrix","display_name":"Positive-definite matrix","score":0.6341619491577148},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5489284992218018},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4777368903160095},{"id":"https://openalex.org/keywords/generalized-minimal-residual-method","display_name":"Generalized minimal residual method","score":0.43832215666770935},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3733087182044983},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.3199734687805176},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1869918406009674},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09875929355621338},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07339736819267273}],"concepts":[{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.9699982404708862},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7967958450317383},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.7658559679985046},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.6962597370147705},{"id":"https://openalex.org/C147060835","wikidata":"https://www.wikidata.org/wiki/Q1757151","display_name":"Krylov subspace","level":3,"score":0.6799777746200562},{"id":"https://openalex.org/C49712288","wikidata":"https://www.wikidata.org/wiki/Q77601250","display_name":"Positive-definite matrix","level":3,"score":0.6341619491577148},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5489284992218018},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4777368903160095},{"id":"https://openalex.org/C155332342","wikidata":"https://www.wikidata.org/wiki/Q1432976","display_name":"Generalized minimal residual method","level":3,"score":0.43832215666770935},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3733087182044983},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3199734687805176},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1869918406009674},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09875929355621338},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07339736819267273},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11075-015-0068-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-015-0068-5","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"},{"id":"pmh:oai:ir.lzu.edu.cn/:262010/180842","is_oa":false,"landing_page_url":"http://ir.lzu.edu.cn/handle/262010/180842","pdf_url":null,"source":{"id":"https://openalex.org/S4406923049","display_name":"Lanzhou University Institutional Repository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W61424441","https://openalex.org/W1500921805","https://openalex.org/W1506342804","https://openalex.org/W1974512823","https://openalex.org/W1981494447","https://openalex.org/W1985249384","https://openalex.org/W1985340647","https://openalex.org/W1987840433","https://openalex.org/W1991285463","https://openalex.org/W1995897527","https://openalex.org/W2001807089","https://openalex.org/W2002102128","https://openalex.org/W2003550247","https://openalex.org/W2033698563","https://openalex.org/W2033868049","https://openalex.org/W2049266129","https://openalex.org/W2049726926","https://openalex.org/W2068062961","https://openalex.org/W2077866399","https://openalex.org/W2088456940","https://openalex.org/W2137512990","https://openalex.org/W2140153041","https://openalex.org/W2141870784","https://openalex.org/W2150606825","https://openalex.org/W4295016751"],"related_works":["https://openalex.org/W2042846224","https://openalex.org/W3157581606","https://openalex.org/W2113830538","https://openalex.org/W2382988560","https://openalex.org/W2024149451","https://openalex.org/W3031624508","https://openalex.org/W4322732133","https://openalex.org/W4287824572","https://openalex.org/W2604862712","https://openalex.org/W2986665254"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
