{"id":"https://openalex.org/W1681084628","doi":"https://doi.org/10.1023/a:1019105328973","title":"Generalizations and modifications of the GMRES iterative method","display_name":"Generalizations and modifications of the GMRES iterative method","publication_year":1999,"publication_date":"1999-09-01","ids":{"openalex":"https://openalex.org/W1681084628","doi":"https://doi.org/10.1023/a:1019105328973","mag":"1681084628"},"language":"en","primary_location":{"id":"doi:10.1023/a:1019105328973","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1019105328973","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/A5012608339","display_name":"J.-L. Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I98298690","display_name":"I-Shou University","ror":"https://ror.org/04d7e4m76","country_code":"TW","type":"education","lineage":["https://openalex.org/I98298690"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Jen-Yuan Chen","raw_affiliation_strings":["Department of Applied Mathematics, I-Shou University, Ta-Hsu, Kaohsiung, 840, Taiwan","Department of Applied Mathematics, I-Shou University, Ta-Hsu, Kaohsiung, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, I-Shou University, Ta-Hsu, Kaohsiung, 840, Taiwan","institution_ids":["https://openalex.org/I98298690"]},{"raw_affiliation_string":"Department of Applied Mathematics, I-Shou University, Ta-Hsu, Kaohsiung, Taiwan","institution_ids":["https://openalex.org/I98298690"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061271218","display_name":"David R. Kincaid","orcid":null},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David R. Kincaid","raw_affiliation_strings":["Center for Numerical Analysis, University of Texas at Austin, Austin, TX, 78713-8510, USA","Center for Numerical Analysis, University of Texas at Austin, Austin, USA"],"affiliations":[{"raw_affiliation_string":"Center for Numerical Analysis, University of Texas at Austin, Austin, TX, 78713-8510, USA","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"Center for Numerical Analysis, University of Texas at Austin, Austin, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110232775","display_name":"David M. Young","orcid":null},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David M. Young","raw_affiliation_strings":["Center for Numerical Analysis, University of Texas at Austin, Austin, TX, 78713-8510, USA","Center for Numerical Analysis, University of Texas at Austin, Austin, USA"],"affiliations":[{"raw_affiliation_string":"Center for Numerical Analysis, University of Texas at Austin, Austin, TX, 78713-8510, USA","institution_ids":["https://openalex.org/I86519309"]},{"raw_affiliation_string":"Center for Numerical Analysis, University of Texas at Austin, Austin, USA","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012608339"],"corresponding_institution_ids":["https://openalex.org/I98298690"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4871,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.61892146,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"21","issue":"1-4","first_page":"119","last_page":"146"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9890999794006348,"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":0.984499990940094,"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/generalized-minimal-residual-method","display_name":"Generalized minimal residual method","score":0.9102678298950195},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7273943424224854},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.6352105140686035},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.6238715648651123},{"id":"https://openalex.org/keywords/lanczos-resampling","display_name":"Lanczos resampling","score":0.5394469499588013},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.5323716998100281},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5255143642425537},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49759748578071594},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4382709562778473},{"id":"https://openalex.org/keywords/numerical-analysis","display_name":"Numerical analysis","score":0.427314817905426},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35200467705726624},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.104707270860672}],"concepts":[{"id":"https://openalex.org/C155332342","wikidata":"https://www.wikidata.org/wiki/Q1432976","display_name":"Generalized minimal residual method","level":3,"score":0.9102678298950195},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7273943424224854},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.6352105140686035},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.6238715648651123},{"id":"https://openalex.org/C119256216","wikidata":"https://www.wikidata.org/wiki/Q913012","display_name":"Lanczos resampling","level":3,"score":0.5394469499588013},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.5323716998100281},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5255143642425537},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49759748578071594},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4382709562778473},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.427314817905426},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35200467705726624},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.104707270860672},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1019105328973","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1019105328973","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":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W101236918","https://openalex.org/W1506342804","https://openalex.org/W1538878357","https://openalex.org/W1571187512","https://openalex.org/W1995020472","https://openalex.org/W2005036581","https://openalex.org/W2021810545","https://openalex.org/W2041519450","https://openalex.org/W2055251260","https://openalex.org/W2085259167","https://openalex.org/W2104992285","https://openalex.org/W2140153041","https://openalex.org/W2155216327","https://openalex.org/W2316564661","https://openalex.org/W4234907925"],"related_works":["https://openalex.org/W2032899988","https://openalex.org/W2072568196","https://openalex.org/W2971922054","https://openalex.org/W2610002741","https://openalex.org/W4220970845","https://openalex.org/W1579526657","https://openalex.org/W2066215857","https://openalex.org/W4226335490","https://openalex.org/W3146700705","https://openalex.org/W2552362573"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}