{"id":"https://openalex.org/W1967430404","doi":"https://doi.org/10.1016/s0167-8191(01)00142-9","title":"Generalized least-squares polynomial preconditioners for symmetric indefinite linear equations","display_name":"Generalized least-squares polynomial preconditioners for symmetric indefinite linear equations","publication_year":2002,"publication_date":"2002-02-01","ids":{"openalex":"https://openalex.org/W1967430404","doi":"https://doi.org/10.1016/s0167-8191(01)00142-9","mag":"1967430404"},"language":"en","primary_location":{"id":"doi:10.1016/s0167-8191(01)00142-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8191(01)00142-9","pdf_url":null,"source":{"id":"https://openalex.org/S112708030","display_name":"Parallel Computing","issn_l":"0167-8191","issn":["0167-8191","1872-7336"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel 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/A5101582057","display_name":"Yu Liang","orcid":null},"institutions":[{"id":"https://openalex.org/I138801177","display_name":"University of Ulster","ror":"https://ror.org/01yp9g959","country_code":"GB","type":"education","lineage":["https://openalex.org/I138801177"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Y. Liang","raw_affiliation_strings":["School of Information and Software Engineering, University of Ulster, Cromore Road, Coleraine BT52 1SA, UK","School of Information and Software Engineering, University of Ulster, Cromore Road, Coleraine BT52 1SA, UK#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Information and Software Engineering, University of Ulster, Cromore Road, Coleraine BT52 1SA, UK","institution_ids":["https://openalex.org/I138801177"]},{"raw_affiliation_string":"School of Information and Software Engineering, University of Ulster, Cromore Road, Coleraine BT52 1SA, UK#TAB#","institution_ids":["https://openalex.org/I138801177"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026020286","display_name":"J. Weston","orcid":null},"institutions":[{"id":"https://openalex.org/I138801177","display_name":"University of Ulster","ror":"https://ror.org/01yp9g959","country_code":"GB","type":"education","lineage":["https://openalex.org/I138801177"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"J. Weston","raw_affiliation_strings":["School of Information and Software Engineering, University of Ulster, Cromore Road, Coleraine BT52 1SA, UK","School of Information and Software Engineering, University of Ulster, Cromore Road, Coleraine BT52 1SA, UK#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Information and Software Engineering, University of Ulster, Cromore Road, Coleraine BT52 1SA, UK","institution_ids":["https://openalex.org/I138801177"]},{"raw_affiliation_string":"School of Information and Software Engineering, University of Ulster, Cromore Road, Coleraine BT52 1SA, UK#TAB#","institution_ids":["https://openalex.org/I138801177"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040130094","display_name":"M. Szularz","orcid":null},"institutions":[{"id":"https://openalex.org/I138801177","display_name":"University of Ulster","ror":"https://ror.org/01yp9g959","country_code":"GB","type":"education","lineage":["https://openalex.org/I138801177"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"M. Szularz","raw_affiliation_strings":["School of Information and Software Engineering, University of Ulster, Cromore Road, Coleraine BT52 1SA, UK","School of Information and Software Engineering, University of Ulster, Cromore Road, Coleraine BT52 1SA, UK#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Information and Software Engineering, University of Ulster, Cromore Road, Coleraine BT52 1SA, UK","institution_ids":["https://openalex.org/I138801177"]},{"raw_affiliation_string":"School of Information and Software Engineering, University of Ulster, Cromore Road, Coleraine BT52 1SA, UK#TAB#","institution_ids":["https://openalex.org/I138801177"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026020286"],"corresponding_institution_ids":["https://openalex.org/I138801177"],"apc_list":{"value":2680,"currency":"USD","value_usd":2680},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.1047488,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"28","issue":"2","first_page":"323","last_page":"341"},"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":0.9995999932289124,"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":0.9940000176429749,"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/solver","display_name":"Solver","score":0.6570485830307007},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.626587986946106},{"id":"https://openalex.org/keywords/chebyshev-nodes","display_name":"Chebyshev nodes","score":0.5931032299995422},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5640637874603271},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5299592614173889},{"id":"https://openalex.org/keywords/least-squares-function-approximation","display_name":"Least-squares function approximation","score":0.5027596950531006},{"id":"https://openalex.org/keywords/wilkinsons-polynomial","display_name":"Wilkinson's polynomial","score":0.4721018373966217},{"id":"https://openalex.org/keywords/chebyshev-polynomials","display_name":"Chebyshev polynomials","score":0.4539768695831299},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.4201088547706604},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.4179835617542267},{"id":"https://openalex.org/keywords/matrix-polynomial","display_name":"Matrix polynomial","score":0.37323665618896484},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36693131923675537},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36004966497421265},{"id":"https://openalex.org/keywords/symmetric-polynomial","display_name":"Symmetric polynomial","score":0.3420639932155609},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.20125415921211243},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11690297722816467},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.08186104893684387}],"concepts":[{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.6570485830307007},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.626587986946106},{"id":"https://openalex.org/C171326582","wikidata":"https://www.wikidata.org/wiki/Q1052508","display_name":"Chebyshev nodes","level":3,"score":0.5931032299995422},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5640637874603271},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5299592614173889},{"id":"https://openalex.org/C9936470","wikidata":"https://www.wikidata.org/wiki/Q6510405","display_name":"Least-squares function approximation","level":3,"score":0.5027596950531006},{"id":"https://openalex.org/C170907076","wikidata":"https://www.wikidata.org/wiki/Q2613931","display_name":"Wilkinson's polynomial","level":5,"score":0.4721018373966217},{"id":"https://openalex.org/C129785596","wikidata":"https://www.wikidata.org/wiki/Q619511","display_name":"Chebyshev polynomials","level":2,"score":0.4539768695831299},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.4201088547706604},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.4179835617542267},{"id":"https://openalex.org/C101044782","wikidata":"https://www.wikidata.org/wiki/Q6787887","display_name":"Matrix polynomial","level":3,"score":0.37323665618896484},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36693131923675537},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36004966497421265},{"id":"https://openalex.org/C52153879","wikidata":"https://www.wikidata.org/wiki/Q930499","display_name":"Symmetric polynomial","level":4,"score":0.3420639932155609},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.20125415921211243},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11690297722816467},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.08186104893684387},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0167-8191(01)00142-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0167-8191(01)00142-9","pdf_url":null,"source":{"id":"https://openalex.org/S112708030","display_name":"Parallel Computing","issn_l":"0167-8191","issn":["0167-8191","1872-7336"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Computing","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":21,"referenced_works":["https://openalex.org/W194487525","https://openalex.org/W1506342804","https://openalex.org/W1512590398","https://openalex.org/W1512732958","https://openalex.org/W1566708646","https://openalex.org/W1969705461","https://openalex.org/W1980372237","https://openalex.org/W1992139425","https://openalex.org/W2010464263","https://openalex.org/W2027260065","https://openalex.org/W2035253925","https://openalex.org/W2038516134","https://openalex.org/W2093925907","https://openalex.org/W2093972066","https://openalex.org/W2144181355","https://openalex.org/W2156736893","https://openalex.org/W2314675548","https://openalex.org/W3038165843","https://openalex.org/W3108043981","https://openalex.org/W4299397646","https://openalex.org/W4300457112"],"related_works":["https://openalex.org/W2021099221","https://openalex.org/W2360210034","https://openalex.org/W2023818677","https://openalex.org/W2907252599","https://openalex.org/W1964170686","https://openalex.org/W148891984","https://openalex.org/W103050704","https://openalex.org/W2029618674","https://openalex.org/W2293042482","https://openalex.org/W2561847121"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
