{"id":"https://openalex.org/W1991278266","doi":"https://doi.org/10.1007/s11075-013-9730-y","title":"A generalized preconditioned HSS method for singular saddle point problems","display_name":"A generalized preconditioned HSS method for singular saddle point problems","publication_year":2013,"publication_date":"2013-06-21","ids":{"openalex":"https://openalex.org/W1991278266","doi":"https://doi.org/10.1007/s11075-013-9730-y","mag":"1991278266"},"language":"en","primary_location":{"id":"doi:10.1007/s11075-013-9730-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-013-9730-y","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/A5079908277","display_name":"Zhen Chao","orcid":"https://orcid.org/0000-0003-1821-6929"},"institutions":[{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhen Chao","raw_affiliation_strings":["School of Mathematics and Information Science, Wenzhou University, Wenzhou, 325035, People\u2019s Republic of China","School of Mathematics and Information Science, Wenzhou University, Wenzhou, People's Republic of China 325035#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Wenzhou University, Wenzhou, 325035, People\u2019s Republic of China","institution_ids":["https://openalex.org/I146620803"]},{"raw_affiliation_string":"School of Mathematics and Information Science, Wenzhou University, Wenzhou, People's Republic of China 325035#TAB#","institution_ids":["https://openalex.org/I146620803"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007758121","display_name":"Naimin Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I146620803","display_name":"Wenzhou University","ror":"https://ror.org/020hxh324","country_code":"CN","type":"education","lineage":["https://openalex.org/I146620803"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Naimin Zhang","raw_affiliation_strings":["School of Mathematics and Information Science, Wenzhou University, Wenzhou, 325035, People\u2019s Republic of China","School of Mathematics and Information Science, Wenzhou University, Wenzhou, People's Republic of China 325035#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information Science, Wenzhou University, Wenzhou, 325035, People\u2019s Republic of China","institution_ids":["https://openalex.org/I146620803"]},{"raw_affiliation_string":"School of Mathematics and Information Science, Wenzhou University, Wenzhou, People's Republic of China 325035#TAB#","institution_ids":["https://openalex.org/I146620803"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5007758121"],"corresponding_institution_ids":["https://openalex.org/I146620803"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":9.3075,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.98401102,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"66","issue":"2","first_page":"203","last_page":"221"},"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":0.9994000196456909,"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":0.9957000017166138,"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/mathematics","display_name":"Mathematics","score":0.8386189937591553},{"id":"https://openalex.org/keywords/preconditioner","display_name":"Preconditioner","score":0.8317317962646484},{"id":"https://openalex.org/keywords/saddle-point","display_name":"Saddle point","score":0.8045598268508911},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5321770310401917},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5237236618995667},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5152575969696045},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.5088739395141602},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.48735031485557556},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.45376670360565186},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.45125141739845276},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3752243220806122},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.3515397310256958},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.16304537653923035},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1610845923423767},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13814488053321838},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09600311517715454}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8386189937591553},{"id":"https://openalex.org/C167431342","wikidata":"https://www.wikidata.org/wiki/Q1754327","display_name":"Preconditioner","level":3,"score":0.8317317962646484},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.8045598268508911},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5321770310401917},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5237236618995667},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5152575969696045},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.5088739395141602},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.48735031485557556},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.45376670360565186},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.45125141739845276},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3752243220806122},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.3515397310256958},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.16304537653923035},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1610845923423767},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13814488053321838},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09600311517715454},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","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/s11075-013-9730-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11075-013-9730-y","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1543497461","https://openalex.org/W1598407593","https://openalex.org/W1852082788","https://openalex.org/W1985511277","https://openalex.org/W1991285463","https://openalex.org/W1996107448","https://openalex.org/W2002102128","https://openalex.org/W2002852249","https://openalex.org/W2003137566","https://openalex.org/W2010315317","https://openalex.org/W2020151555","https://openalex.org/W2026635066","https://openalex.org/W2049726926","https://openalex.org/W2055254885","https://openalex.org/W2059776418","https://openalex.org/W2066263304","https://openalex.org/W2066817933","https://openalex.org/W2068335126","https://openalex.org/W2071301229","https://openalex.org/W2077441566","https://openalex.org/W2077866399","https://openalex.org/W2084740841","https://openalex.org/W2092439735","https://openalex.org/W2094290072","https://openalex.org/W2101743932","https://openalex.org/W2127503127","https://openalex.org/W2132070457","https://openalex.org/W2140153041","https://openalex.org/W2141870784","https://openalex.org/W2160108946","https://openalex.org/W2165220841","https://openalex.org/W2165741100","https://openalex.org/W2170040487","https://openalex.org/W2182083219","https://openalex.org/W3029645440","https://openalex.org/W3149667697","https://openalex.org/W4293775970","https://openalex.org/W4300666158","https://openalex.org/W4302564868"],"related_works":["https://openalex.org/W4288085251","https://openalex.org/W4313532397","https://openalex.org/W2011700839","https://openalex.org/W3046880536","https://openalex.org/W3135525767","https://openalex.org/W4213410328","https://openalex.org/W2127503127","https://openalex.org/W2092710552","https://openalex.org/W2089393890","https://openalex.org/W2554480944"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
